527 Project.sagews

A=matrix([[0,1,1,0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[1,1 ,0 ,1 ,0 ,0 ,0 ,0 ,0 ,0 ,0 ,0 ,0, 0, 0, 0, 0, 0],
[0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0],
[0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0],
[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1],
[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]])
g=Graph(A)
g.show()
g.set_edge_label(0,1,680)
g.set_edge_label(0,2,1105)
g.set_edge_label(1,2,490)
g.set_edge_label(1,3,590)
g.set_edge_label(2,3,180)
g.set_edge_label(3,4,530)
g.set_edge_label(3,5,770)
g.set_edge_label(3,6,1420)
g.set_edge_label(4,5,420)
g.set_edge_label(4,7,495)
g.set_edge_label(5,7,255)
g.set_edge_label(5,9,195)
g.set_edge_label(5,10,545)
g.set_edge_label(6,7,750)
g.set_edge_label(6,8,1050)
g.set_edge_label(6,9,380)
g.set_edge_label(6,10,990)
g.set_edge_label(6,11,915)
g.set_edge_label(6,12,380)
g.set_edge_label(6,13,380)
g.set_edge_label(7,8,590)
g.set_edge_label(7,9,285)
g.set_edge_label(8,11,730)
g.set_edge_label(11,12,640)
g.set_edge_label(11,14,390)
g.set_edge_label(11,15,195)
g.set_edge_label(12,13,350)
g.set_edge_label(12,15,500)
g.set_edge_label(12,16,425)
g.set_edge_label(14,15,320)
g.set_edge_label(15,16,225)
g.set_edge_label(16,17,1170)
w=[1, 4, 2, 3, 3, 2, 5, 3, 4, 2, 4, 5, 2, 3, 5, 2, 1, 4]
for i in [0..17]:
    g.set_vertex(i,w[i])
g.show(edge_labels=True)

latex(g)

\begin{tikzpicture} \definecolor{cv0}{rgb}{0.0,0.0,0.0} \definecolor{cfv0}{rgb}{1.0,1.0,1.0} \definecolor{clv0}{rgb}{0.0,0.0,0.0} \definecolor{cv1}{rgb}{0.0,0.0,0.0} \definecolor{cfv1}{rgb}{1.0,1.0,1.0} \definecolor{clv1}{rgb}{0.0,0.0,0.0} \definecolor{cv2}{rgb}{0.0,0.0,0.0} \definecolor{cfv2}{rgb}{1.0,1.0,1.0} \definecolor{clv2}{rgb}{0.0,0.0,0.0} \definecolor{cv3}{rgb}{0.0,0.0,0.0} \definecolor{cfv3}{rgb}{1.0,1.0,1.0} \definecolor{clv3}{rgb}{0.0,0.0,0.0} \definecolor{cv4}{rgb}{0.0,0.0,0.0} \definecolor{cfv4}{rgb}{1.0,1.0,1.0} \definecolor{clv4}{rgb}{0.0,0.0,0.0} \definecolor{cv5}{rgb}{0.0,0.0,0.0} \definecolor{cfv5}{rgb}{1.0,1.0,1.0} \definecolor{clv5}{rgb}{0.0,0.0,0.0} \definecolor{cv6}{rgb}{0.0,0.0,0.0} \definecolor{cfv6}{rgb}{1.0,1.0,1.0} \definecolor{clv6}{rgb}{0.0,0.0,0.0} \definecolor{cv7}{rgb}{0.0,0.0,0.0} \definecolor{cfv7}{rgb}{1.0,1.0,1.0} \definecolor{clv7}{rgb}{0.0,0.0,0.0} \definecolor{cv8}{rgb}{0.0,0.0,0.0} \definecolor{cfv8}{rgb}{1.0,1.0,1.0} \definecolor{clv8}{rgb}{0.0,0.0,0.0} \definecolor{cv9}{rgb}{0.0,0.0,0.0} \definecolor{cfv9}{rgb}{1.0,1.0,1.0} \definecolor{clv9}{rgb}{0.0,0.0,0.0} \definecolor{cv10}{rgb}{0.0,0.0,0.0} \definecolor{cfv10}{rgb}{1.0,1.0,1.0} \definecolor{clv10}{rgb}{0.0,0.0,0.0} \definecolor{cv11}{rgb}{0.0,0.0,0.0} \definecolor{cfv11}{rgb}{1.0,1.0,1.0} \definecolor{clv11}{rgb}{0.0,0.0,0.0} \definecolor{cv12}{rgb}{0.0,0.0,0.0} \definecolor{cfv12}{rgb}{1.0,1.0,1.0} \definecolor{clv12}{rgb}{0.0,0.0,0.0} \definecolor{cv13}{rgb}{0.0,0.0,0.0} \definecolor{cfv13}{rgb}{1.0,1.0,1.0} \definecolor{clv13}{rgb}{0.0,0.0,0.0} \definecolor{cv14}{rgb}{0.0,0.0,0.0} \definecolor{cfv14}{rgb}{1.0,1.0,1.0} \definecolor{clv14}{rgb}{0.0,0.0,0.0} \definecolor{cv15}{rgb}{0.0,0.0,0.0} \definecolor{cfv15}{rgb}{1.0,1.0,1.0} \definecolor{clv15}{rgb}{0.0,0.0,0.0} \definecolor{cv16}{rgb}{0.0,0.0,0.0} \definecolor{cfv16}{rgb}{1.0,1.0,1.0} \definecolor{clv16}{rgb}{0.0,0.0,0.0} \definecolor{cv17}{rgb}{0.0,0.0,0.0} \definecolor{cfv17}{rgb}{1.0,1.0,1.0} \definecolor{clv17}{rgb}{0.0,0.0,0.0} \definecolor{cv0v1}{rgb}{0.0,0.0,0.0} \definecolor{cv0v2}{rgb}{0.0,0.0,0.0} \definecolor{cv1v2}{rgb}{0.0,0.0,0.0} \definecolor{cv1v3}{rgb}{0.0,0.0,0.0} \definecolor{cv2v3}{rgb}{0.0,0.0,0.0} \definecolor{cv3v4}{rgb}{0.0,0.0,0.0} \definecolor{cv3v5}{rgb}{0.0,0.0,0.0} \definecolor{cv3v6}{rgb}{0.0,0.0,0.0} \definecolor{cv4v5}{rgb}{0.0,0.0,0.0} \definecolor{cv4v7}{rgb}{0.0,0.0,0.0} \definecolor{cv5v7}{rgb}{0.0,0.0,0.0} \definecolor{cv5v9}{rgb}{0.0,0.0,0.0} \definecolor{cv5v10}{rgb}{0.0,0.0,0.0} \definecolor{cv6v7}{rgb}{0.0,0.0,0.0} \definecolor{cv6v8}{rgb}{0.0,0.0,0.0} \definecolor{cv6v9}{rgb}{0.0,0.0,0.0} \definecolor{cv6v10}{rgb}{0.0,0.0,0.0} \definecolor{cv6v11}{rgb}{0.0,0.0,0.0} \definecolor{cv6v12}{rgb}{0.0,0.0,0.0} \definecolor{cv6v13}{rgb}{0.0,0.0,0.0} \definecolor{cv7v8}{rgb}{0.0,0.0,0.0} \definecolor{cv7v9}{rgb}{0.0,0.0,0.0} \definecolor{cv8v11}{rgb}{0.0,0.0,0.0} \definecolor{cv11v12}{rgb}{0.0,0.0,0.0} \definecolor{cv11v14}{rgb}{0.0,0.0,0.0} \definecolor{cv11v15}{rgb}{0.0,0.0,0.0} \definecolor{cv12v13}{rgb}{0.0,0.0,0.0} \definecolor{cv12v15}{rgb}{0.0,0.0,0.0} \definecolor{cv12v16}{rgb}{0.0,0.0,0.0} \definecolor{cv14v15}{rgb}{0.0,0.0,0.0} \definecolor{cv15v16}{rgb}{0.0,0.0,0.0} \definecolor{cv16v17}{rgb}{0.0,0.0,0.0} % \Vertex[style={minimum size=1.0cm,draw=cv0,fill=cfv0,text=clv0,shape=circle},LabelOut=false,L=\hbox{$0$},x=0.0cm,y=0.0cm]{v0} \Vertex[style={minimum size=1.0cm,draw=cv1,fill=cfv1,text=clv1,shape=circle},LabelOut=false,L=\hbox{$1$},x=0.5467cm,y=0.5535cm]{v1} \Vertex[style={minimum size=1.0cm,draw=cv2,fill=cfv2,text=clv2,shape=circle},LabelOut=false,L=\hbox{$2$},x=0.9926cm,y=0.3cm]{v2} \Vertex[style={minimum size=1.0cm,draw=cv3,fill=cfv3,text=clv3,shape=circle},LabelOut=false,L=\hbox{$3$},x=1.952cm,y=1.1056cm]{v3} \Vertex[style={minimum size=1.0cm,draw=cv4,fill=cfv4,text=clv4,shape=circle},LabelOut=false,L=\hbox{$4$},x=2.9236cm,y=0.8765cm]{v4} \Vertex[style={minimum size=1.0cm,draw=cv5,fill=cfv5,text=clv5,shape=circle},LabelOut=false,L=\hbox{$5$},x=2.8465cm,y=1.3221cm]{v5} \Vertex[style={minimum size=1.0cm,draw=cv6,fill=cfv6,text=clv6,shape=circle},LabelOut=false,L=\hbox{$6$},x=3.1755cm,y=2.2862cm]{v6} \Vertex[style={minimum size=1.0cm,draw=cv7,fill=cfv7,text=clv7,shape=circle},LabelOut=false,L=\hbox{$7$},x=3.2017cm,y=1.7152cm]{v7} \Vertex[style={minimum size=1.0cm,draw=cv8,fill=cfv8,text=clv8,shape=circle},LabelOut=false,L=\hbox{$8$},x=2.7607cm,y=2.5949cm]{v8} \Vertex[style={minimum size=1.0cm,draw=cv9,fill=cfv9,text=clv9,shape=circle},LabelOut=false,L=\hbox{$9$},x=3.894cm,y=1.5936cm]{v9} \Vertex[style={minimum size=1.0cm,draw=cv10,fill=cfv10,text=clv10,shape=circle},LabelOut=false,L=\hbox{$10$},x=2.239cm,y=1.8678cm]{v10} \Vertex[style={minimum size=1.0cm,draw=cv11,fill=cfv11,text=clv11,shape=circle},LabelOut=false,L=\hbox{$11$},x=2.9808cm,y=3.3198cm]{v11} \Vertex[style={minimum size=1.0cm,draw=cv12,fill=cfv12,text=clv12,shape=circle},LabelOut=false,L=\hbox{$12$},x=3.9102cm,y=3.3748cm]{v12} \Vertex[style={minimum size=1.0cm,draw=cv13,fill=cfv13,text=clv13,shape=circle},LabelOut=false,L=\hbox{$13$},x=4.5019cm,y=2.7546cm]{v13} \Vertex[style={minimum size=1.0cm,draw=cv14,fill=cfv14,text=clv14,shape=circle},LabelOut=false,L=\hbox{$14$},x=2.519cm,y=4.1569cm]{v14} \Vertex[style={minimum size=1.0cm,draw=cv15,fill=cfv15,text=clv15,shape=circle},LabelOut=false,L=\hbox{$15$},x=3.4512cm,y=4.029cm]{v15} \Vertex[style={minimum size=1.0cm,draw=cv16,fill=cfv16,text=clv16,shape=circle},LabelOut=false,L=\hbox{$16$},x=4.368cm,y=4.2508cm]{v16} \Vertex[style={minimum size=1.0cm,draw=cv17,fill=cfv17,text=clv17,shape=circle},LabelOut=false,L=\hbox{$17$},x=5.0cm,y=5.0cm]{v17} % \Edge[lw=0.1cm,style={color=cv0v1,},](v0)(v1) \Edge[lw=0.1cm,style={color=cv0v2,},](v0)(v2) \Edge[lw=0.1cm,style={color=cv1v2,},](v1)(v2) \Edge[lw=0.1cm,style={color=cv1v3,},](v1)(v3) \Edge[lw=0.1cm,style={color=cv2v3,},](v2)(v3) \Edge[lw=0.1cm,style={color=cv3v4,},](v3)(v4) \Edge[lw=0.1cm,style={color=cv3v5,},](v3)(v5) \Edge[lw=0.1cm,style={color=cv3v6,},](v3)(v6) \Edge[lw=0.1cm,style={color=cv4v5,},](v4)(v5) \Edge[lw=0.1cm,style={color=cv4v7,},](v4)(v7) \Edge[lw=0.1cm,style={color=cv5v7,},](v5)(v7) \Edge[lw=0.1cm,style={color=cv5v9,},](v5)(v9) \Edge[lw=0.1cm,style={color=cv5v10,},](v5)(v10) \Edge[lw=0.1cm,style={color=cv6v7,},](v6)(v7) \Edge[lw=0.1cm,style={color=cv6v8,},](v6)(v8) \Edge[lw=0.1cm,style={color=cv6v9,},](v6)(v9) \Edge[lw=0.1cm,style={color=cv6v10,},](v6)(v10) \Edge[lw=0.1cm,style={color=cv6v11,},](v6)(v11) \Edge[lw=0.1cm,style={color=cv6v12,},](v6)(v12) \Edge[lw=0.1cm,style={color=cv6v13,},](v6)(v13) \Edge[lw=0.1cm,style={color=cv7v8,},](v7)(v8) \Edge[lw=0.1cm,style={color=cv7v9,},](v7)(v9) \Edge[lw=0.1cm,style={color=cv8v11,},](v8)(v11) \Edge[lw=0.1cm,style={color=cv11v12,},](v11)(v12) \Edge[lw=0.1cm,style={color=cv11v14,},](v11)(v14) \Edge[lw=0.1cm,style={color=cv11v15,},](v11)(v15) \Edge[lw=0.1cm,style={color=cv12v13,},](v12)(v13) \Edge[lw=0.1cm,style={color=cv12v15,},](v12)(v15) \Edge[lw=0.1cm,style={color=cv12v16,},](v12)(v16) \Edge[lw=0.1cm,style={color=cv14v15,},](v14)(v15) \Edge[lw=0.1cm,style={color=cv15v16,},](v15)(v16) \Edge[lw=0.1cm,style={color=cv16v17,},](v16)(v17) % \end{tikzpicture}

g.shortest_path_all_pairs(by_weight=True)

({0: {0: 0, 1: 680, 2: 1105, 3: 1270, 4: 1800, 5: 2040, 6: 2615, 7: 2295, 8: 2885, 9: 2235, 10: 2585, 11: 3530, 12: 2995, 13: 2995, 14: 3815, 15: 3495, 16: 3420, 17: 4590}, 1: {0: 680, 1: 0, 2: 490, 3: 590, 4: 1120, 5: 1360, 6: 1935, 7: 1615, 8: 2205, 9: 1555, 10: 1905, 11: 2850, 12: 2315, 13: 2315, 14: 3135, 15: 2815, 16: 2740, 17: 3910}, 2: {0: 1105, 1: 490, 2: 0, 3: 180, 4: 710, 5: 950, 6: 1525, 7: 1205, 8: 1795, 9: 1145, 10: 1495, 11: 2440, 12: 1905, 13: 1905, 14: 2725, 15: 2405, 16: 2330, 17: 3500}, 3: {0: 1270, 1: 590, 2: 180, 3: 0, 4: 530, 5: 770, 6: 1345, 7: 1025, 8: 1615, 9: 965, 10: 1315, 11: 2260, 12: 1725, 13: 1725, 14: 2545, 15: 2225, 16: 2150, 17: 3320}, 4: {0: 1800, 1: 1120, 2: 710, 3: 530, 4: 0, 5: 420, 6: 995, 7: 495, 8: 1085, 9: 615, 10: 965, 11: 1815, 12: 1375, 13: 1375, 14: 2195, 15: 1875, 16: 1800, 17: 2970}, 5: {0: 2040, 1: 1360, 2: 950, 3: 770, 4: 420, 5: 0, 6: 575, 7: 255, 8: 845, 9: 195, 10: 545, 11: 1490, 12: 955, 13: 955, 14: 1775, 15: 1455, 16: 1380, 17: 2550}, 6: {0: 2615, 1: 1935, 2: 1525, 3: 1345, 4: 995, 5: 575, 6: 0, 7: 665, 8: 1050, 9: 380, 10: 990, 11: 915, 12: 380, 13: 380, 14: 1200, 15: 880, 16: 805, 17: 1975}, 7: {0: 2295, 1: 1615, 2: 1205, 3: 1025, 4: 495, 5: 255, 6: 665, 7: 0, 8: 590, 9: 285, 10: 800, 11: 1320, 12: 1045, 13: 1045, 14: 1710, 15: 1515, 16: 1470, 17: 2640}, 8: {0: 2885, 1: 2205, 2: 1795, 3: 1615, 4: 1085, 5: 845, 6: 1050, 7: 590, 8: 0, 9: 875, 10: 1390, 11: 730, 12: 1370, 13: 1430, 14: 1120, 15: 925, 16: 1150, 17: 2320}, 9: {0: 2235, 1: 1555, 2: 1145, 3: 965, 4: 615, 5: 195, 6: 380, 7: 285, 8: 875, 9: 0, 10: 740, 11: 1295, 12: 760, 13: 760, 14: 1580, 15: 1260, 16: 1185, 17: 2355}, 10: {0: 2585, 1: 1905, 2: 1495, 3: 1315, 4: 965, 5: 545, 6: 990, 7: 800, 8: 1390, 9: 740, 10: 0, 11: 1905, 12: 1370, 13: 1370, 14: 2190, 15: 1870, 16: 1795, 17: 2965}, 11: {0: 3530, 1: 2850, 2: 2440, 3: 2260, 4: 1815, 5: 1490, 6: 915, 7: 1320, 8: 730, 9: 1295, 10: 1905, 11: 0, 12: 640, 13: 990, 14: 390, 15: 195, 16: 420, 17: 1590}, 12: {0: 2995, 1: 2315, 2: 1905, 3: 1725, 4: 1375, 5: 955, 6: 380, 7: 1045, 8: 1370, 9: 760, 10: 1370, 11: 640, 12: 0, 13: 350, 14: 820, 15: 500, 16: 425, 17: 1595}, 13: {0: 2995, 1: 2315, 2: 1905, 3: 1725, 4: 1375, 5: 955, 6: 380, 7: 1045, 8: 1430, 9: 760, 10: 1370, 11: 990, 12: 350, 13: 0, 14: 1170, 15: 850, 16: 775, 17: 1945}, 14: {0: 3815, 1: 3135, 2: 2725, 3: 2545, 4: 2195, 5: 1775, 6: 1200, 7: 1710, 8: 1120, 9: 1580, 10: 2190, 11: 390, 12: 820, 13: 1170, 14: 0, 15: 320, 16: 545, 17: 1715}, 15: {0: 3495, 1: 2815, 2: 2405, 3: 2225, 4: 1875, 5: 1455, 6: 880, 7: 1515, 8: 925, 9: 1260, 10: 1870, 11: 195, 12: 500, 13: 850, 14: 320, 15: 0, 16: 225, 17: 1395}, 16: {0: 3420, 1: 2740, 2: 2330, 3: 2150, 4: 1800, 5: 1380, 6: 805, 7: 1470, 8: 1150, 9: 1185, 10: 1795, 11: 420, 12: 425, 13: 775, 14: 545, 15: 225, 16: 0, 17: 1170}, 17: {0: 4590, 1: 3910, 2: 3500, 3: 3320, 4: 2970, 5: 2550, 6: 1975, 7: 2640, 8: 2320, 9: 2355, 10: 2965, 11: 1590, 12: 1595, 13: 1945, 14: 1715, 15: 1395, 16: 1170, 17: 0}}, {0: {0: None, 1: 0, 2: 0, 3: 1, 4: 3, 5: 3, 6: 9, 7: 4, 8: 7, 9: 5, 10: 5, 11: 6, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 1: {0: 1, 1: None, 2: 1, 3: 1, 4: 3, 5: 3, 6: 9, 7: 4, 8: 7, 9: 5, 10: 5, 11: 6, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 2: {0: 2, 1: 2, 2: None, 3: 2, 4: 3, 5: 3, 6: 9, 7: 4, 8: 7, 9: 5, 10: 5, 11: 6, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 3: {0: 1, 1: 3, 2: 3, 3: None, 4: 3, 5: 3, 6: 9, 7: 4, 8: 7, 9: 5, 10: 5, 11: 6, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 4: {0: 1, 1: 3, 2: 3, 3: 4, 4: None, 5: 4, 6: 9, 7: 4, 8: 7, 9: 5, 10: 5, 11: 8, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 5: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: None, 6: 9, 7: 5, 8: 7, 9: 5, 10: 5, 11: 6, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 6: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 9, 6: None, 7: 9, 8: 6, 9: 6, 10: 6, 11: 6, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 7: {0: 1, 1: 3, 2: 3, 3: 5, 4: 7, 5: 7, 6: 9, 7: None, 8: 7, 9: 7, 10: 5, 11: 8, 12: 6, 13: 6, 14: 11, 15: 11, 16: 12, 17: 16}, 8: {0: 1, 1: 3, 2: 3, 3: 5, 4: 7, 5: 7, 6: 8, 7: 8, 8: None, 9: 7, 10: 5, 11: 8, 12: 11, 13: 6, 14: 11, 15: 11, 16: 15, 17: 16}, 9: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 9, 6: 9, 7: 9, 8: 7, 9: None, 10: 5, 11: 6, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 10: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 10, 6: 10, 7: 5, 8: 7, 9: 5, 10: None, 11: 6, 12: 6, 13: 6, 14: 15, 15: 12, 16: 12, 17: 16}, 11: {0: 1, 1: 3, 2: 3, 3: 5, 4: 7, 5: 9, 6: 11, 7: 8, 8: 11, 9: 6, 10: 6, 11: None, 12: 11, 13: 12, 14: 11, 15: 11, 16: 15, 17: 16}, 12: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 9, 6: 12, 7: 9, 8: 11, 9: 6, 10: 6, 11: 12, 12: None, 13: 12, 14: 15, 15: 12, 16: 12, 17: 16}, 13: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 9, 6: 13, 7: 9, 8: 6, 9: 6, 10: 6, 11: 12, 12: 13, 13: None, 14: 15, 15: 12, 16: 12, 17: 16}, 14: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 9, 6: 12, 7: 8, 8: 11, 9: 6, 10: 6, 11: 14, 12: 15, 13: 12, 14: None, 15: 14, 16: 15, 17: 16}, 15: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 9, 6: 12, 7: 8, 8: 11, 9: 6, 10: 6, 11: 15, 12: 15, 13: 12, 14: 15, 15: None, 16: 15, 17: 16}, 16: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 9, 6: 12, 7: 9, 8: 11, 9: 6, 10: 6, 11: 15, 12: 16, 13: 12, 14: 15, 15: 16, 16: None, 17: 16}, 17: {0: 1, 1: 3, 2: 3, 3: 5, 4: 5, 5: 9, 6: 12, 7: 9, 8: 11, 9: 6, 10: 6, 11: 15, 12: 16, 13: 12, 14: 15, 15: 16, 16: 17, 17: None}})

g.edges()
p = g.all_paths(0,6)

[(0, 1, 680), (0, 2, 1105), (1, 2, 490), (1, 3, 590), (2, 3, 180), (3, 4, 530), (3, 5, 770), (3, 6, 1420), (4, 5, 420), (4, 7, 495), (5, 7, 255), (5, 9, 195), (5, 10, 545), (6, 7, 750), (6, 8, 1050), (6, 9, 380), (6, 10, 990), (6, 11, 915), (6, 12, 380), (6, 13, 380), (7, 8, 590), (7, 9, 285), (8, 11, 730), (11, 12, 640), (11, 14, 390), (11, 15, 195), (12, 13, 350), (12, 15, 500), (12, 16, 425), (14, 15, 320), (15, 16, 225), (16, 17, 1170)]

p
len(p)

[[0, 1, 2, 3, 4, 5, 7, 6], [0, 1, 2, 3, 4, 5, 7, 8, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 12, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 12, 13, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 14, 15, 12, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 15, 16, 12, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 15, 12, 6], [0, 1, 2, 3, 4, 5, 7, 8, 11, 15, 12, 13, 6], [0, 1, 2, 3, 4, 5, 7, 9, 6], [0, 1, 2, 3, 4, 5, 9, 6], [0, 1, 2, 3, 4, 5, 9, 7, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 12, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 12, 13, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 14, 15, 12, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 15, 16, 12, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 15, 12, 6], [0, 1, 2, 3, 4, 5, 9, 7, 8, 11, 15, 12, 13, 6], [0, 1, 2, 3, 4, 5, 10, 6], [0, 1, 2, 3, 4, 7, 5, 9, 6], [0, 1, 2, 3, 4, 7, 5, 10, 6], [0, 1, 2, 3, 4, 7, 6], [0, 1, 2, 3, 4, 7, 8, 6], [0, 1, 2, 3, 4, 7, 8, 11, 6], [0, 1, 2, 3, 4, 7, 8, 11, 12, 6], [0, 1, 2, 3, 4, 7, 8, 11, 12, 13, 6], [0, 1, 2, 3, 4, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 2, 3, 4, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 2, 3, 4, 7, 8, 11, 14, 15, 12, 6], [0, 1, 2, 3, 4, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 2, 3, 4, 7, 8, 11, 15, 16, 12, 6], [0, 1, 2, 3, 4, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 2, 3, 4, 7, 8, 11, 15, 12, 6], [0, 1, 2, 3, 4, 7, 8, 11, 15, 12, 13, 6], [0, 1, 2, 3, 4, 7, 9, 5, 10, 6], [0, 1, 2, 3, 4, 7, 9, 6], [0, 1, 2, 3, 5, 4, 7, 6], [0, 1, 2, 3, 5, 4, 7, 8, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 12, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 12, 13, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 14, 15, 12, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 15, 16, 12, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 15, 12, 6], [0, 1, 2, 3, 5, 4, 7, 8, 11, 15, 12, 13, 6], [0, 1, 2, 3, 5, 4, 7, 9, 6], [0, 1, 2, 3, 5, 7, 6], [0, 1, 2, 3, 5, 7, 8, 6], [0, 1, 2, 3, 5, 7, 8, 11, 6], [0, 1, 2, 3, 5, 7, 8, 11, 12, 6], [0, 1, 2, 3, 5, 7, 8, 11, 12, 13, 6], [0, 1, 2, 3, 5, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 2, 3, 5, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 2, 3, 5, 7, 8, 11, 14, 15, 12, 6], [0, 1, 2, 3, 5, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 2, 3, 5, 7, 8, 11, 15, 16, 12, 6], [0, 1, 2, 3, 5, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 2, 3, 5, 7, 8, 11, 15, 12, 6], [0, 1, 2, 3, 5, 7, 8, 11, 15, 12, 13, 6], [0, 1, 2, 3, 5, 7, 9, 6], [0, 1, 2, 3, 5, 9, 6], [0, 1, 2, 3, 5, 9, 7, 6], [0, 1, 2, 3, 5, 9, 7, 8, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 12, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 12, 13, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 14, 15, 12, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 15, 16, 12, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 15, 12, 6], [0, 1, 2, 3, 5, 9, 7, 8, 11, 15, 12, 13, 6], [0, 1, 2, 3, 5, 10, 6], [0, 1, 2, 3, 6], [0, 1, 3, 4, 5, 7, 6], [0, 1, 3, 4, 5, 7, 8, 6], [0, 1, 3, 4, 5, 7, 8, 11, 6], [0, 1, 3, 4, 5, 7, 8, 11, 12, 6], [0, 1, 3, 4, 5, 7, 8, 11, 12, 13, 6], [0, 1, 3, 4, 5, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 3, 4, 5, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 3, 4, 5, 7, 8, 11, 14, 15, 12, 6], [0, 1, 3, 4, 5, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 3, 4, 5, 7, 8, 11, 15, 16, 12, 6], [0, 1, 3, 4, 5, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 3, 4, 5, 7, 8, 11, 15, 12, 6], [0, 1, 3, 4, 5, 7, 8, 11, 15, 12, 13, 6], [0, 1, 3, 4, 5, 7, 9, 6], [0, 1, 3, 4, 5, 9, 6], [0, 1, 3, 4, 5, 9, 7, 6], [0, 1, 3, 4, 5, 9, 7, 8, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 12, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 12, 13, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 14, 15, 12, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 15, 16, 12, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 15, 12, 6], [0, 1, 3, 4, 5, 9, 7, 8, 11, 15, 12, 13, 6], [0, 1, 3, 4, 5, 10, 6], [0, 1, 3, 4, 7, 5, 9, 6], [0, 1, 3, 4, 7, 5, 10, 6], [0, 1, 3, 4, 7, 6], [0, 1, 3, 4, 7, 8, 6], [0, 1, 3, 4, 7, 8, 11, 6], [0, 1, 3, 4, 7, 8, 11, 12, 6], [0, 1, 3, 4, 7, 8, 11, 12, 13, 6], [0, 1, 3, 4, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 3, 4, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 3, 4, 7, 8, 11, 14, 15, 12, 6], [0, 1, 3, 4, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 3, 4, 7, 8, 11, 15, 16, 12, 6], [0, 1, 3, 4, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 3, 4, 7, 8, 11, 15, 12, 6], [0, 1, 3, 4, 7, 8, 11, 15, 12, 13, 6], [0, 1, 3, 4, 7, 9, 5, 10, 6], [0, 1, 3, 4, 7, 9, 6], [0, 1, 3, 5, 4, 7, 6], [0, 1, 3, 5, 4, 7, 8, 6], [0, 1, 3, 5, 4, 7, 8, 11, 6], [0, 1, 3, 5, 4, 7, 8, 11, 12, 6], [0, 1, 3, 5, 4, 7, 8, 11, 12, 13, 6], [0, 1, 3, 5, 4, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 3, 5, 4, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 3, 5, 4, 7, 8, 11, 14, 15, 12, 6], [0, 1, 3, 5, 4, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 3, 5, 4, 7, 8, 11, 15, 16, 12, 6], [0, 1, 3, 5, 4, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 3, 5, 4, 7, 8, 11, 15, 12, 6], [0, 1, 3, 5, 4, 7, 8, 11, 15, 12, 13, 6], [0, 1, 3, 5, 4, 7, 9, 6], [0, 1, 3, 5, 7, 6], [0, 1, 3, 5, 7, 8, 6], [0, 1, 3, 5, 7, 8, 11, 6], [0, 1, 3, 5, 7, 8, 11, 12, 6], [0, 1, 3, 5, 7, 8, 11, 12, 13, 6], [0, 1, 3, 5, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 3, 5, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 3, 5, 7, 8, 11, 14, 15, 12, 6], [0, 1, 3, 5, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 3, 5, 7, 8, 11, 15, 16, 12, 6], [0, 1, 3, 5, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 3, 5, 7, 8, 11, 15, 12, 6], [0, 1, 3, 5, 7, 8, 11, 15, 12, 13, 6], [0, 1, 3, 5, 7, 9, 6], [0, 1, 3, 5, 9, 6], [0, 1, 3, 5, 9, 7, 6], [0, 1, 3, 5, 9, 7, 8, 6], [0, 1, 3, 5, 9, 7, 8, 11, 6], [0, 1, 3, 5, 9, 7, 8, 11, 12, 6], [0, 1, 3, 5, 9, 7, 8, 11, 12, 13, 6], [0, 1, 3, 5, 9, 7, 8, 11, 14, 15, 16, 12, 6], [0, 1, 3, 5, 9, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 1, 3, 5, 9, 7, 8, 11, 14, 15, 12, 6], [0, 1, 3, 5, 9, 7, 8, 11, 14, 15, 12, 13, 6], [0, 1, 3, 5, 9, 7, 8, 11, 15, 16, 12, 6], [0, 1, 3, 5, 9, 7, 8, 11, 15, 16, 12, 13, 6], [0, 1, 3, 5, 9, 7, 8, 11, 15, 12, 6], [0, 1, 3, 5, 9, 7, 8, 11, 15, 12, 13, 6], [0, 1, 3, 5, 10, 6], [0, 1, 3, 6], [0, 2, 1, 3, 4, 5, 7, 6], [0, 2, 1, 3, 4, 5, 7, 8, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 12, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 12, 13, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 14, 15, 12, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 15, 16, 12, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 15, 12, 6], [0, 2, 1, 3, 4, 5, 7, 8, 11, 15, 12, 13, 6], [0, 2, 1, 3, 4, 5, 7, 9, 6], [0, 2, 1, 3, 4, 5, 9, 6], [0, 2, 1, 3, 4, 5, 9, 7, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 12, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 12, 13, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 14, 15, 12, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 15, 16, 12, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 15, 12, 6], [0, 2, 1, 3, 4, 5, 9, 7, 8, 11, 15, 12, 13, 6], [0, 2, 1, 3, 4, 5, 10, 6], [0, 2, 1, 3, 4, 7, 5, 9, 6], [0, 2, 1, 3, 4, 7, 5, 10, 6], [0, 2, 1, 3, 4, 7, 6], [0, 2, 1, 3, 4, 7, 8, 6], [0, 2, 1, 3, 4, 7, 8, 11, 6], [0, 2, 1, 3, 4, 7, 8, 11, 12, 6], [0, 2, 1, 3, 4, 7, 8, 11, 12, 13, 6], [0, 2, 1, 3, 4, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 1, 3, 4, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 1, 3, 4, 7, 8, 11, 14, 15, 12, 6], [0, 2, 1, 3, 4, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 1, 3, 4, 7, 8, 11, 15, 16, 12, 6], [0, 2, 1, 3, 4, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 1, 3, 4, 7, 8, 11, 15, 12, 6], [0, 2, 1, 3, 4, 7, 8, 11, 15, 12, 13, 6], [0, 2, 1, 3, 4, 7, 9, 5, 10, 6], [0, 2, 1, 3, 4, 7, 9, 6], [0, 2, 1, 3, 5, 4, 7, 6], [0, 2, 1, 3, 5, 4, 7, 8, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 12, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 12, 13, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 14, 15, 12, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 15, 16, 12, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 15, 12, 6], [0, 2, 1, 3, 5, 4, 7, 8, 11, 15, 12, 13, 6], [0, 2, 1, 3, 5, 4, 7, 9, 6], [0, 2, 1, 3, 5, 7, 6], [0, 2, 1, 3, 5, 7, 8, 6], [0, 2, 1, 3, 5, 7, 8, 11, 6], [0, 2, 1, 3, 5, 7, 8, 11, 12, 6], [0, 2, 1, 3, 5, 7, 8, 11, 12, 13, 6], [0, 2, 1, 3, 5, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 1, 3, 5, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 1, 3, 5, 7, 8, 11, 14, 15, 12, 6], [0, 2, 1, 3, 5, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 1, 3, 5, 7, 8, 11, 15, 16, 12, 6], [0, 2, 1, 3, 5, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 1, 3, 5, 7, 8, 11, 15, 12, 6], [0, 2, 1, 3, 5, 7, 8, 11, 15, 12, 13, 6], [0, 2, 1, 3, 5, 7, 9, 6], [0, 2, 1, 3, 5, 9, 6], [0, 2, 1, 3, 5, 9, 7, 6], [0, 2, 1, 3, 5, 9, 7, 8, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 12, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 12, 13, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 14, 15, 12, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 15, 16, 12, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 15, 12, 6], [0, 2, 1, 3, 5, 9, 7, 8, 11, 15, 12, 13, 6], [0, 2, 1, 3, 5, 10, 6], [0, 2, 1, 3, 6], [0, 2, 3, 4, 5, 7, 6], [0, 2, 3, 4, 5, 7, 8, 6], [0, 2, 3, 4, 5, 7, 8, 11, 6], [0, 2, 3, 4, 5, 7, 8, 11, 12, 6], [0, 2, 3, 4, 5, 7, 8, 11, 12, 13, 6], [0, 2, 3, 4, 5, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 3, 4, 5, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 3, 4, 5, 7, 8, 11, 14, 15, 12, 6], [0, 2, 3, 4, 5, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 3, 4, 5, 7, 8, 11, 15, 16, 12, 6], [0, 2, 3, 4, 5, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 3, 4, 5, 7, 8, 11, 15, 12, 6], [0, 2, 3, 4, 5, 7, 8, 11, 15, 12, 13, 6], [0, 2, 3, 4, 5, 7, 9, 6], [0, 2, 3, 4, 5, 9, 6], [0, 2, 3, 4, 5, 9, 7, 6], [0, 2, 3, 4, 5, 9, 7, 8, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 12, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 12, 13, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 14, 15, 12, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 15, 16, 12, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 15, 12, 6], [0, 2, 3, 4, 5, 9, 7, 8, 11, 15, 12, 13, 6], [0, 2, 3, 4, 5, 10, 6], [0, 2, 3, 4, 7, 5, 9, 6], [0, 2, 3, 4, 7, 5, 10, 6], [0, 2, 3, 4, 7, 6], [0, 2, 3, 4, 7, 8, 6], [0, 2, 3, 4, 7, 8, 11, 6], [0, 2, 3, 4, 7, 8, 11, 12, 6], [0, 2, 3, 4, 7, 8, 11, 12, 13, 6], [0, 2, 3, 4, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 3, 4, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 3, 4, 7, 8, 11, 14, 15, 12, 6], [0, 2, 3, 4, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 3, 4, 7, 8, 11, 15, 16, 12, 6], [0, 2, 3, 4, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 3, 4, 7, 8, 11, 15, 12, 6], [0, 2, 3, 4, 7, 8, 11, 15, 12, 13, 6], [0, 2, 3, 4, 7, 9, 5, 10, 6], [0, 2, 3, 4, 7, 9, 6], [0, 2, 3, 5, 4, 7, 6], [0, 2, 3, 5, 4, 7, 8, 6], [0, 2, 3, 5, 4, 7, 8, 11, 6], [0, 2, 3, 5, 4, 7, 8, 11, 12, 6], [0, 2, 3, 5, 4, 7, 8, 11, 12, 13, 6], [0, 2, 3, 5, 4, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 3, 5, 4, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 3, 5, 4, 7, 8, 11, 14, 15, 12, 6], [0, 2, 3, 5, 4, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 3, 5, 4, 7, 8, 11, 15, 16, 12, 6], [0, 2, 3, 5, 4, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 3, 5, 4, 7, 8, 11, 15, 12, 6], [0, 2, 3, 5, 4, 7, 8, 11, 15, 12, 13, 6], [0, 2, 3, 5, 4, 7, 9, 6], [0, 2, 3, 5, 7, 6], [0, 2, 3, 5, 7, 8, 6], [0, 2, 3, 5, 7, 8, 11, 6], [0, 2, 3, 5, 7, 8, 11, 12, 6], [0, 2, 3, 5, 7, 8, 11, 12, 13, 6], [0, 2, 3, 5, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 3, 5, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 3, 5, 7, 8, 11, 14, 15, 12, 6], [0, 2, 3, 5, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 3, 5, 7, 8, 11, 15, 16, 12, 6], [0, 2, 3, 5, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 3, 5, 7, 8, 11, 15, 12, 6], [0, 2, 3, 5, 7, 8, 11, 15, 12, 13, 6], [0, 2, 3, 5, 7, 9, 6], [0, 2, 3, 5, 9, 6], [0, 2, 3, 5, 9, 7, 6], [0, 2, 3, 5, 9, 7, 8, 6], [0, 2, 3, 5, 9, 7, 8, 11, 6], [0, 2, 3, 5, 9, 7, 8, 11, 12, 6], [0, 2, 3, 5, 9, 7, 8, 11, 12, 13, 6], [0, 2, 3, 5, 9, 7, 8, 11, 14, 15, 16, 12, 6], [0, 2, 3, 5, 9, 7, 8, 11, 14, 15, 16, 12, 13, 6], [0, 2, 3, 5, 9, 7, 8, 11, 14, 15, 12, 6], [0, 2, 3, 5, 9, 7, 8, 11, 14, 15, 12, 13, 6], [0, 2, 3, 5, 9, 7, 8, 11, 15, 16, 12, 6], [0, 2, 3, 5, 9, 7, 8, 11, 15, 16, 12, 13, 6], [0, 2, 3, 5, 9, 7, 8, 11, 15, 12, 6], [0, 2, 3, 5, 9, 7, 8, 11, 15, 12, 13, 6], [0, 2, 3, 5, 10, 6], [0, 2, 3, 6]] 360

p[359]

[0, 2, 3, 6]

7 not in p[359]

True

p1 = p[1]

p1[0]

0

#we're assumg path p is given by a list of vertices
#is edge x-y on path p
def is_edge_on_path(p,x,y):
    lenp = len(p)
    if x not in p or y not in p:
        return 0 #using 0 for False
    xindex = p.index(x)
    yindex = p.index(y)
    if abs(xindex-yindex)==1:
        return 1 #using 1 for True
    else:
        return 0

g.incidence_matrix()

[1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1]

incidence = g.incidence_matrix()

def edges(x,y):
    if x == y:
        return false
    i=0
    k=0
    while (i == 0):
        if incidence[x,k] == 1 and incidence[y,k] == 1:
            i = 1
        else:
            if k == 31:
                i=1
                return False
            else:
                i = 0
                k=k+1
    return k

edges(13,6)

19

is_edge_on_path(p[0],3,5)

0

is_edge_on_path(p[359],2,7)

0

paths=matrix(360,32); paths; paths.parent()

360 x 32 dense matrix over Integer Ring Full MatrixSpace of 360 by 32 dense matrices over Integer Ring

p[359]

[0, 2, 3, 6]

edges(12,16)
incidence[12,26]
incidence[16,26]

26 1 1

edges(2,12)

False

for i in [0..359]:
    for j in [0..17]:
        for k in [0..17]:
            if edges(j,k) is not False:
                e = edges(j,k)
                paths[i,e] = is_edge_on_path(p[i],j,k)

is_edge_on_path(p[0],5,7)

0

edges(5,7)

0

paths.parent()

Full MatrixSpace of 360 by 32 dense matrices over Integer Ring

print paths

360 x 32 dense matrix over Integer Ring

for i in [0..359]:
    paths[i,:]

[1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0] [1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0] [1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 0 0 0] [1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0] [1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 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print paths.rows()

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