2016-08-18-164332.sagews

casa=graphs.HouseGraph()

casa.show()

Error in lines 1-1 Traceback (most recent call last): File "/cocalc/lib/python3.9/site-packages/smc_sagews/sage_server.py", line 1234, in execute flags=compile_flags), namespace, locals) File "", line 1, in <module> NameError: name 'casa' is not defined

plato1=graphs.DodecahedralGraph()
plato1.show()

casa.add_vertices([5])

casa.is_connected()

False

casa.add_edges([(5,3),(5,1)])

casa.show()

casa.automorphism_group()

Permutation Group with generators [(1,2)(4,5)]

print casa.vertices()

[0, 1, 2, 3, 4, 5]

for vv in casa.vertices():
    print vv, casa.degree(vv)

0 2 1 3 2 3 3 4 4 2 5 2

casa.size()

8

casa.order()

6

show(casa)

d3-based renderer not yet implemented

tutica=graphs.GrayGraph()

show(tutica)

d3-based renderer not yet implemented

tutica.is_regular()

True

tutica.neighbors(31)

[32, 38, 30]

tutica.neighbors(8)

[1, 7, 9]

Ma=casa.adjacency_matrix()

Ma

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

yas=Graph()
yas.add_vertices(range(15))

yas.add_edges([(0,1),(1,2),(2,3),(3,4),(4,5),(5,6),(6,7),(7,8),(8,9),(9,10),(10,11),(11,12),(12,13),(13,0)])

show(yas)

d3-based renderer not yet implemented

yas.delete_vertex(14)

show(yas)

d3-based renderer not yet implemented

yas.add_edges([(13,2),(11,2),(10,3),(9,4),(9,6)])

show(yas)

d3-based renderer not yet implemented

yas.automorphism_group()

Permutation Group with generators [(0,7)(1,8)(2,9)(3,10)(4,11)(5,12)(6,13)]

for ii in yas.vertices():
    print ii , yas.degree(ii)

0 2 1 2 2 4 3 3 4 3 5 2 6 3 7 2 8 2 9 4 10 3 11 3 12 2 13 3

yas.size()

19

tuta=[(x,y) for x in range(1,37) for y in range(1,37) if (36%x==0 and 36%y==0 and not (36%(x*y)==0))]

tuta

[(2, 4), (2, 12), (2, 36), (3, 9), (3, 18), (3, 36), (4, 2), (4, 4), (4, 6), (4, 12), (4, 18), (4, 36), (6, 4), (6, 9), (6, 12), (6, 18), (6, 36), (9, 3), (9, 6), (9, 9), (9, 12), (9, 18), (9, 36), (12, 2), (12, 4), (12, 6), (12, 9), (12, 12), (12, 18), (12, 36), (18, 3), (18, 4), (18, 6), (18, 9), (18, 12), (18, 18), (18, 36), (36, 2), (36, 3), (36, 4), (36, 6), (36, 9), (36, 12), (36, 18), (36, 36)]

tete=[x*x*y*y for (x,y) in tuta]

tete

[64, 576, 5184, 729, 2916, 11664, 64, 256, 576, 2304, 5184, 20736, 576, 2916, 5184, 11664, 46656, 729, 2916, 6561, 11664, 26244, 104976, 576, 2304, 5184, 11664, 20736, 46656, 186624, 2916, 5184, 11664, 26244, 46656, 104976, 419904, 5184, 11664, 20736, 46656, 104976, 186624, 419904, 1679616]

sum=0
for ii in tete:
    sum=ii
sum

1679616

runa=Graph()

runa.add_vertices(range(5))

runa.add_edges([(0,1),(1,2),(1,3),(1,4)])

runa.show()

runa3=runa

runa3.add_edge(2,3)

runa3.show()

runa3n4n0=runa3

runa3n4n0.add_edge(4,0)

runa3n4n0.show()

runa3P=Graph()
runa3P.add_vertices(range(5))
runa3P.add_edges([(2,1),(3,1),(1,4),(1,0),(0,4),(0,2)])

runa3P.show()

runa3PW=Graph()
runa3PW.add_vertices(range(5))
runa3PW.add_edges([(2,1),(3,1),(1,4),(1,0),(0,4),(0,2),(4,3)])

runa3PW.show()

runa3PWZ=Graph()
runa3PWZ.add_vertices(range(5))
runa3PWZ.add_edges([(2,1),(3,1),(1,4),(1,0),(0,4),(0,2),(4,3),(2,3)])

runa3PWZ.show()

runa3PXWZ=Graph()
runa3PXWZ.add_vertices(range(5))
runa3PXWZ.add_edges([(2,1),(1,4),(1,0),(0,4),(0,2),(4,3),(2,3)])

runa3PXWZ.show()