Identifier
Identifier
Values
([],1) generating graphics... => 0
([],2) generating graphics... => 0
([(0,1)],2) generating graphics... => 0
([],3) generating graphics... => 0
([(1,2)],3) generating graphics... => 0
([(0,2),(1,2)],3) generating graphics... => 0
([(0,1),(0,2),(1,2)],3) generating graphics... => 1
([],4) generating graphics... => 0
([(2,3)],4) generating graphics... => 0
([(1,3),(2,3)],4) generating graphics... => 0
([(1,2),(1,3),(2,3)],4) generating graphics... => 0
([(0,3),(1,3),(2,3)],4) generating graphics... => 0
([(0,3),(1,2)],4) generating graphics... => 0
([(0,3),(1,2),(2,3)],4) generating graphics... => 0
([(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 1
([(0,2),(0,3),(1,2),(1,3)],4) generating graphics... => 0
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 4
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 12
([],5) generating graphics... => 0
([(3,4)],5) generating graphics... => 0
([(2,4),(3,4)],5) generating graphics... => 0
([(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(1,4),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,4),(2,4),(3,4)],5) generating graphics... => 0
([(1,4),(2,3)],5) generating graphics... => 0
([(1,4),(2,3),(3,4)],5) generating graphics... => 0
([(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 0
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,1),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,4),(2,3),(3,4)],5) generating graphics... => 0
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 1
([(0,4),(1,3),(2,3),(2,4)],5) generating graphics... => 0
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 4
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 0
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 12
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) generating graphics... => 1
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 4
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 15
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 12
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 36
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) generating graphics... => 36
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 81
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 162
([(0,1),(2,3),(2,4),(3,4)],5) generating graphics... => 0
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) generating graphics... => 1
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 4
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 12
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) generating graphics... => 6
([],6) generating graphics... => 0
([(4,5)],6) generating graphics... => 0
([(3,5),(4,5)],6) generating graphics... => 0
([(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(2,5),(3,4)],6) generating graphics... => 0
([(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,2),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,4),(3,4),(3,5)],6) generating graphics... => 0
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) generating graphics... => 0
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,2),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 1
([(0,5),(1,5),(2,4),(3,4)],6) generating graphics... => 0
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 1
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 4
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 12
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 32
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 4
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) generating graphics... => 0
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 1
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 4
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 12
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) generating graphics... => 1
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 6
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 4
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 15
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 12
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 36
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 4
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 20
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) generating graphics... => 4
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) generating graphics... => 10
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 24
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 56
([(0,5),(1,4),(2,3)],6) generating graphics... => 0
([(0,1),(2,5),(3,4),(4,5)],6) generating graphics... => 0
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 1
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 6
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) generating graphics... => 0
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 4
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 12
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 15
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 36
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 12
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 36
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 81
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 162
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 36
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 81
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 4
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 4
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 12
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 36
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 12
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 1
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) generating graphics... => 0
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 1
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 4
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 12
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 0
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 4
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) generating graphics... => 1
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 4
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 15
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 4
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) generating graphics... => 12
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 44
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 32
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 96
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 16
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) generating graphics... => 0
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 6
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 20
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 44
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 50
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 105
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 216
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 432
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 234
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 120
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 125
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 56
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 120
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 128
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 256
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) generating graphics... => 24
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 54
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 20
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 50
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) generating graphics... => 0
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 15
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 50
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) generating graphics... => 15
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 44
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 105
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 36
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 96
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 216
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 105
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) generating graphics... => 54
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 120
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 250
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 256
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 480
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 512
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 896
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 1536
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 2560
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 0
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 36
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 108
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) generating graphics... => 0
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 81
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 234
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 480
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 864
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 216
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 432
click to show generating function       
Description
The determinant of the product of the incidence matrix and its transpose of a graph divided by $4$.
Code
def statistic(G):
    inc_mat = G.incidence_matrix()
    return ZZ((inc_mat*inc_mat.transpose()).determinant()/4)
Created
Nov 26, 2015 at 12:13 by Christian Stump
Updated
Nov 26, 2015 at 12:13 by Christian Stump