r_11=1 and r_10=0 for adjacency -- Sage

html('') C=["J?bBfJM{vF?","JCQeeXenRt_","JCQeRJTnJr_","JCpdcyf\_n_","J?bFMX\w}|?","J?bFU^w]~\?","J?bFU^[V~\?","JCpdurTrju_","JCZJf`}mru?","JCZJdqlvVl?","JCZJdefvVl?","JEhbtjYj\u?","J?rNTizxqv_","J?bFU^m~J}_","J?o|vZfnv|?"] print "------------------------------------" for x in C: Graph(x).show() print Graph(x).adjacency_matrix() print "Degree sequence: ",Graph(x).degree() print "Determinant: ",Graph(x).adjacency_matrix().determinant() print "------------------------------------"

------------------------------------

[0 0 0 0 1 1 0 1 1 1 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 1 0 1 1]
[0 0 0 0 0 0 1 0 0 1 0]
[1 0 0 0 0 0 0 0 1 0 0]
[1 1 0 0 0 0 0 1 1 0 0]
[0 1 1 1 0 0 0 0 1 1 1]
[1 1 1 0 0 1 0 0 0 1 1]
[1 1 0 0 1 1 1 0 0 0 1]
[1 1 1 1 0 0 1 1 0 0 0]
[1 1 1 0 0 0 1 1 1 0 0]
Degree sequence:   [6, 6, 4, 2, 2, 4, 6, 6, 6, 6, 6]
Determinant:   32
------------------------------------

[0 0 0 1 0 1 1 1 0 1 0]
[0 0 0 0 1 0 1 1 1 0 1]
[0 0 0 0 0 1 0 0 1 1 1]
[1 0 0 0 0 0 1 0 0 1 1]
[0 1 0 0 0 0 0 1 0 1 1]
[1 0 1 0 0 0 0 1 1 1 0]
[1 1 0 1 0 0 0 0 1 0 1]
[1 1 0 0 1 1 0 0 0 1 0]
[0 1 1 0 0 1 1 0 0 0 1]
[1 0 1 1 1 1 0 1 0 0 1]
[0 1 1 1 1 0 1 0 1 1 0]
Degree sequence:   [5, 5, 4, 4, 4, 5, 5, 5, 5, 7, 7]
Determinant:   512
------------------------------------

[0 0 0 1 0 1 1 0 1 1 0]
[0 0 0 0 1 0 1 1 1 0 1]
[0 0 0 0 0 1 0 1 0 1 1]
[1 0 0 0 0 0 0 0 1 1 1]
[0 1 0 0 0 0 1 0 0 1 1]
[1 0 1 0 0 0 0 1 1 1 0]
[1 1 0 0 1 0 0 0 0 0 0]
[0 1 1 0 0 1 0 0 1 0 1]
[1 1 0 1 0 1 0 1 0 1 1]
[1 0 1 1 1 1 0 0 1 0 1]
[0 1 1 1 1 0 0 1 1 1 0]
Degree sequence:   [5, 5, 4, 4, 4, 5, 3, 5, 7, 7, 7]
Determinant:   128
------------------------------------

[0 0 0 1 1 0 1 1 1 0 0]
[0 0 0 0 1 1 0 0 0 1 0]
[0 0 0 0 0 1 1 0 1 1 0]
[1 0 0 0 0 0 1 1 0 1 1]
[1 1 0 0 0 0 0 1 0 0 0]
[0 1 1 0 0 0 0 1 1 1 1]
[1 0 1 1 0 0 0 0 1 1 1]
[1 0 0 1 1 1 0 0 1 0 1]
[1 0 1 0 0 1 1 1 0 0 1]
[0 1 1 1 0 1 1 0 0 0 1]
[0 0 0 1 0 1 1 1 1 1 0]
Degree sequence:   [5, 3, 4, 5, 3, 6, 6, 6, 6, 6, 6]
Determinant:   128
------------------------------------

[0 0 0 0 1 1 1 1 0 1 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 0 0 1 0]
[0 0 0 0 0 0 0 0 1 0 1]
[1 0 0 0 0 0 0 1 1 0 1]
[1 1 0 0 0 0 1 1 1 0 1]
[1 1 1 0 0 1 0 0 0 1 1]
[1 1 0 0 1 1 0 0 1 1 0]
[0 1 0 1 1 1 0 1 0 1 1]
[1 1 1 0 0 0 1 1 1 0 0]
[1 1 0 1 1 1 1 0 1 0 0]
Degree sequence:   [6, 6, 2, 2, 4, 6, 6, 6, 7, 6, 7]
Determinant:   32
------------------------------------

[0 0 0 0 1 1 1 1 1 0 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 0 1 1 1]
[0 0 0 0 0 0 0 0 1 1 0]
[1 0 0 0 0 0 1 1 1 1 1]
[1 1 0 0 0 0 0 1 0 0 1]
[1 1 1 0 1 0 0 1 0 1 1]
[1 1 0 0 1 1 1 0 0 1 0]
[1 1 1 1 1 0 0 0 0 1 1]
[0 1 1 1 1 0 1 1 1 0 0]
[1 1 1 0 1 1 1 0 1 0 0]
Degree sequence:   [6, 6, 4, 2, 6, 4, 7, 6, 7, 7, 7]
Determinant:   32
------------------------------------

[0 0 0 0 1 1 1 1 1 0 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 1 1 0]
[1 0 0 0 0 0 1 1 1 1 1]
[1 1 0 0 0 0 0 1 1 1 1]
[1 1 1 0 1 0 0 1 0 1 1]
[1 1 0 0 1 1 1 0 0 1 0]
[1 1 0 1 1 1 0 0 0 1 1]
[0 1 0 1 1 1 1 1 1 0 0]
[1 1 1 0 1 1 1 0 1 0 0]
Degree sequence:   [6, 6, 2, 2, 6, 6, 7, 6, 7, 7, 7]
Determinant:   32
------------------------------------

[0 0 0 1 1 0 1 1 1 1 0]
[0 0 0 0 1 1 0 1 1 1 1]
[0 0 0 0 0 1 1 0 0 0 1]
[1 0 0 0 0 0 1 1 1 0 1]
[1 1 0 0 0 0 1 1 0 1 1]
[0 1 1 0 0 0 0 0 1 1 0]
[1 0 1 1 1 0 0 0 0 1 1]
[1 1 0 1 1 0 0 0 1 0 1]
[1 1 0 1 0 1 0 1 0 1 0]
[1 1 0 0 1 1 1 0 1 0 1]
[0 1 1 1 1 0 1 1 0 1 0]
Degree sequence:   [6, 6, 3, 5, 6, 4, 6, 6, 6, 7, 7]
Determinant:   128
------------------------------------

[0 0 0 1 0 1 0 1 0 1 0]
[0 0 0 0 1 1 1 1 1 0 1]
[0 0 0 0 1 0 1 1 1 1 1]
[1 0 0 0 0 0 1 1 1 1 1]
[0 1 1 0 0 1 0 0 1 1 1]
[1 1 0 0 1 0 0 0 1 0 0]
[0 1 1 1 0 0 0 0 1 1 1]
[1 1 1 1 0 0 0 0 0 1 1]
[0 1 1 1 1 1 1 0 0 0 0]
[1 0 1 1 1 0 1 1 0 0 0]
[0 1 1 1 1 0 1 1 0 0 0]
Degree sequence:   [4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6]
Determinant:   32
------------------------------------

[0 0 0 1 0 1 0 1 1 1 1]
[0 0 0 0 1 1 1 0 0 1 1]
[0 0 0 0 1 0 1 1 1 0 1]
[1 0 0 0 0 0 1 1 0 1 1]
[0 1 1 0 0 1 0 1 1 1 0]
[1 1 0 0 1 0 0 0 1 1 1]
[0 1 1 1 0 0 0 0 0 0 1]
[1 0 1 1 1 0 0 0 1 1 0]
[1 0 1 0 1 1 0 1 0 0 1]
[1 1 0 1 1 1 0 1 0 0 0]
[1 1 1 1 0 1 1 0 1 0 0]
Degree sequence:   [6, 5, 5, 5, 6, 6, 4, 6, 6, 6, 7]
Determinant:   512
------------------------------------

[0 0 0 1 0 1 0 1 1 1 1]
[0 0 0 0 1 1 1 0 0 1 1]
[0 0 0 0 1 0 1 1 1 0 1]
[1 0 0 0 0 0 1 1 0 1 1]
[0 1 1 0 0 1 0 0 0 1 0]
[1 1 0 0 1 0 0 0 1 1 1]
[0 1 1 1 0 0 0 1 1 0 1]
[1 0 1 1 0 0 1 0 1 1 0]
[1 0 1 0 0 1 1 1 0 0 1]
[1 1 0 1 1 1 0 1 0 0 0]
[1 1 1 1 0 1 1 0 1 0 0]
Degree sequence:   [6, 5, 5, 5, 4, 6, 6, 6, 6, 6, 7]
Determinant:   128
------------------------------------

[0 0 0 1 1 0 0 1 1 1 1]
[0 0 0 1 0 1 1 0 1 0 0]
[0 0 0 0 1 1 1 1 0 1 1]
[1 1 0 0 0 0 1 1 1 0 1]
[1 0 1 0 0 0 1 0 1 1 1]
[0 1 1 0 0 0 0 1 0 1 0]
[0 1 1 1 1 0 0 0 1 0 1]
[1 0 1 1 0 1 0 0 0 1 1]
[1 1 0 1 1 0 1 0 0 1 0]
[1 0 1 0 1 1 0 1 1 0 0]
[1 0 1 1 1 0 1 1 0 0 0]
Degree sequence:   [6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6]
Determinant:   512
------------------------------------

[0 0 0 0 1 1 1 1 1 1 0]
[0 0 0 0 1 1 1 0 0 1 1]
[0 0 0 0 0 0 1 1 1 1 0]
[0 0 0 0 0 0 0 1 1 0 1]
[1 1 0 0 0 1 1 0 1 0 1]
[1 1 0 0 1 0 0 1 0 1 0]
[1 1 1 0 1 0 0 0 1 1 1]
[1 0 1 1 0 1 0 0 1 1 1]
[1 0 1 1 1 0 1 1 0 0 1]
[1 1 1 0 0 1 1 1 0 0 1]
[0 1 0 1 1 0 1 1 1 1 0]
Degree sequence:   [6, 5, 4, 3, 6, 5, 7, 7, 7, 7, 7]
Determinant:   128
------------------------------------

[0 0 0 0 1 1 1 1 1 1 0]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 0 1 1 1]
[0 0 0 0 0 0 0 0 0 1 1]
[1 0 0 0 0 0 1 1 1 1 1]
[1 1 0 0 0 0 0 1 1 1 1]
[1 1 1 0 1 0 0 1 1 0 1]
[1 1 0 0 1 1 1 0 0 0 1]
[1 1 1 0 1 1 1 0 0 1 0]
[1 1 1 1 1 1 0 0 1 0 1]
[0 1 1 1 1 1 1 1 0 1 0]
Degree sequence:   [6, 6, 4, 2, 6, 6, 7, 6, 7, 8, 8]
Determinant:   32
------------------------------------

[0 0 0 0 1 0 1 1 1 1 1]
[0 0 0 0 1 0 0 1 1 0 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 1 1 0 0 1 1]
[1 1 0 0 0 1 1 1 0 1 1]
[0 0 1 1 1 0 0 1 1 1 1]
[1 0 1 1 1 0 0 0 1 1 1]
[1 1 1 0 1 1 0 0 1 1 0]
[1 1 1 0 0 1 1 1 0 0 1]
[1 0 1 1 1 1 1 1 0 0 0]
[1 1 1 1 1 1 1 0 1 0 0]
Degree sequence:   [6, 4, 6, 4, 7, 7, 7, 7, 7, 7, 8]
Determinant:   32
------------------------------------

------------------------------------

[0 0 0 0 1 1 0 1 1 1 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 1 0 1 1]
[0 0 0 0 0 0 1 0 0 1 0]
[1 0 0 0 0 0 0 0 1 0 0]
[1 1 0 0 0 0 0 1 1 0 0]
[0 1 1 1 0 0 0 0 1 1 1]
[1 1 1 0 0 1 0 0 0 1 1]
[1 1 0 0 1 1 1 0 0 0 1]
[1 1 1 1 0 0 1 1 0 0 0]
[1 1 1 0 0 0 1 1 1 0 0]
Degree sequence:   [6, 6, 4, 2, 2, 4, 6, 6, 6, 6, 6]
Determinant:   32
------------------------------------

[0 0 0 1 0 1 1 1 0 1 0]
[0 0 0 0 1 0 1 1 1 0 1]
[0 0 0 0 0 1 0 0 1 1 1]
[1 0 0 0 0 0 1 0 0 1 1]
[0 1 0 0 0 0 0 1 0 1 1]
[1 0 1 0 0 0 0 1 1 1 0]
[1 1 0 1 0 0 0 0 1 0 1]
[1 1 0 0 1 1 0 0 0 1 0]
[0 1 1 0 0 1 1 0 0 0 1]
[1 0 1 1 1 1 0 1 0 0 1]
[0 1 1 1 1 0 1 0 1 1 0]
Degree sequence:   [5, 5, 4, 4, 4, 5, 5, 5, 5, 7, 7]
Determinant:   512
------------------------------------

[0 0 0 1 0 1 1 0 1 1 0]
[0 0 0 0 1 0 1 1 1 0 1]
[0 0 0 0 0 1 0 1 0 1 1]
[1 0 0 0 0 0 0 0 1 1 1]
[0 1 0 0 0 0 1 0 0 1 1]
[1 0 1 0 0 0 0 1 1 1 0]
[1 1 0 0 1 0 0 0 0 0 0]
[0 1 1 0 0 1 0 0 1 0 1]
[1 1 0 1 0 1 0 1 0 1 1]
[1 0 1 1 1 1 0 0 1 0 1]
[0 1 1 1 1 0 0 1 1 1 0]
Degree sequence:   [5, 5, 4, 4, 4, 5, 3, 5, 7, 7, 7]
Determinant:   128
------------------------------------

[0 0 0 1 1 0 1 1 1 0 0]
[0 0 0 0 1 1 0 0 0 1 0]
[0 0 0 0 0 1 1 0 1 1 0]
[1 0 0 0 0 0 1 1 0 1 1]
[1 1 0 0 0 0 0 1 0 0 0]
[0 1 1 0 0 0 0 1 1 1 1]
[1 0 1 1 0 0 0 0 1 1 1]
[1 0 0 1 1 1 0 0 1 0 1]
[1 0 1 0 0 1 1 1 0 0 1]
[0 1 1 1 0 1 1 0 0 0 1]
[0 0 0 1 0 1 1 1 1 1 0]
Degree sequence:   [5, 3, 4, 5, 3, 6, 6, 6, 6, 6, 6]
Determinant:   128
------------------------------------

[0 0 0 0 1 1 1 1 0 1 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 0 0 1 0]
[0 0 0 0 0 0 0 0 1 0 1]
[1 0 0 0 0 0 0 1 1 0 1]
[1 1 0 0 0 0 1 1 1 0 1]
[1 1 1 0 0 1 0 0 0 1 1]
[1 1 0 0 1 1 0 0 1 1 0]
[0 1 0 1 1 1 0 1 0 1 1]
[1 1 1 0 0 0 1 1 1 0 0]
[1 1 0 1 1 1 1 0 1 0 0]
Degree sequence:   [6, 6, 2, 2, 4, 6, 6, 6, 7, 6, 7]
Determinant:   32
------------------------------------

[0 0 0 0 1 1 1 1 1 0 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 0 1 1 1]
[0 0 0 0 0 0 0 0 1 1 0]
[1 0 0 0 0 0 1 1 1 1 1]
[1 1 0 0 0 0 0 1 0 0 1]
[1 1 1 0 1 0 0 1 0 1 1]
[1 1 0 0 1 1 1 0 0 1 0]
[1 1 1 1 1 0 0 0 0 1 1]
[0 1 1 1 1 0 1 1 1 0 0]
[1 1 1 0 1 1 1 0 1 0 0]
Degree sequence:   [6, 6, 4, 2, 6, 4, 7, 6, 7, 7, 7]
Determinant:   32
------------------------------------

[0 0 0 0 1 1 1 1 1 0 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 0 0 0 1]
[0 0 0 0 0 0 0 0 1 1 0]
[1 0 0 0 0 0 1 1 1 1 1]
[1 1 0 0 0 0 0 1 1 1 1]
[1 1 1 0 1 0 0 1 0 1 1]
[1 1 0 0 1 1 1 0 0 1 0]
[1 1 0 1 1 1 0 0 0 1 1]
[0 1 0 1 1 1 1 1 1 0 0]
[1 1 1 0 1 1 1 0 1 0 0]
Degree sequence:   [6, 6, 2, 2, 6, 6, 7, 6, 7, 7, 7]
Determinant:   32
------------------------------------

[0 0 0 1 1 0 1 1 1 1 0]
[0 0 0 0 1 1 0 1 1 1 1]
[0 0 0 0 0 1 1 0 0 0 1]
[1 0 0 0 0 0 1 1 1 0 1]
[1 1 0 0 0 0 1 1 0 1 1]
[0 1 1 0 0 0 0 0 1 1 0]
[1 0 1 1 1 0 0 0 0 1 1]
[1 1 0 1 1 0 0 0 1 0 1]
[1 1 0 1 0 1 0 1 0 1 0]
[1 1 0 0 1 1 1 0 1 0 1]
[0 1 1 1 1 0 1 1 0 1 0]
Degree sequence:   [6, 6, 3, 5, 6, 4, 6, 6, 6, 7, 7]
Determinant:   128
------------------------------------

[0 0 0 1 0 1 0 1 0 1 0]
[0 0 0 0 1 1 1 1 1 0 1]
[0 0 0 0 1 0 1 1 1 1 1]
[1 0 0 0 0 0 1 1 1 1 1]
[0 1 1 0 0 1 0 0 1 1 1]
[1 1 0 0 1 0 0 0 1 0 0]
[0 1 1 1 0 0 0 0 1 1 1]
[1 1 1 1 0 0 0 0 0 1 1]
[0 1 1 1 1 1 1 0 0 0 0]
[1 0 1 1 1 0 1 1 0 0 0]
[0 1 1 1 1 0 1 1 0 0 0]
Degree sequence:   [4, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6]
Determinant:   32
------------------------------------

[0 0 0 1 0 1 0 1 1 1 1]
[0 0 0 0 1 1 1 0 0 1 1]
[0 0 0 0 1 0 1 1 1 0 1]
[1 0 0 0 0 0 1 1 0 1 1]
[0 1 1 0 0 1 0 1 1 1 0]
[1 1 0 0 1 0 0 0 1 1 1]
[0 1 1 1 0 0 0 0 0 0 1]
[1 0 1 1 1 0 0 0 1 1 0]
[1 0 1 0 1 1 0 1 0 0 1]
[1 1 0 1 1 1 0 1 0 0 0]
[1 1 1 1 0 1 1 0 1 0 0]
Degree sequence:   [6, 5, 5, 5, 6, 6, 4, 6, 6, 6, 7]
Determinant:   512
------------------------------------

[0 0 0 1 0 1 0 1 1 1 1]
[0 0 0 0 1 1 1 0 0 1 1]
[0 0 0 0 1 0 1 1 1 0 1]
[1 0 0 0 0 0 1 1 0 1 1]
[0 1 1 0 0 1 0 0 0 1 0]
[1 1 0 0 1 0 0 0 1 1 1]
[0 1 1 1 0 0 0 1 1 0 1]
[1 0 1 1 0 0 1 0 1 1 0]
[1 0 1 0 0 1 1 1 0 0 1]
[1 1 0 1 1 1 0 1 0 0 0]
[1 1 1 1 0 1 1 0 1 0 0]
Degree sequence:   [6, 5, 5, 5, 4, 6, 6, 6, 6, 6, 7]
Determinant:   128
------------------------------------

[0 0 0 1 1 0 0 1 1 1 1]
[0 0 0 1 0 1 1 0 1 0 0]
[0 0 0 0 1 1 1 1 0 1 1]
[1 1 0 0 0 0 1 1 1 0 1]
[1 0 1 0 0 0 1 0 1 1 1]
[0 1 1 0 0 0 0 1 0 1 0]
[0 1 1 1 1 0 0 0 1 0 1]
[1 0 1 1 0 1 0 0 0 1 1]
[1 1 0 1 1 0 1 0 0 1 0]
[1 0 1 0 1 1 0 1 1 0 0]
[1 0 1 1 1 0 1 1 0 0 0]
Degree sequence:   [6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 6]
Determinant:   512
------------------------------------

[0 0 0 0 1 1 1 1 1 1 0]
[0 0 0 0 1 1 1 0 0 1 1]
[0 0 0 0 0 0 1 1 1 1 0]
[0 0 0 0 0 0 0 1 1 0 1]
[1 1 0 0 0 1 1 0 1 0 1]
[1 1 0 0 1 0 0 1 0 1 0]
[1 1 1 0 1 0 0 0 1 1 1]
[1 0 1 1 0 1 0 0 1 1 1]
[1 0 1 1 1 0 1 1 0 0 1]
[1 1 1 0 0 1 1 1 0 0 1]
[0 1 0 1 1 0 1 1 1 1 0]
Degree sequence:   [6, 5, 4, 3, 6, 5, 7, 7, 7, 7, 7]
Determinant:   128
------------------------------------

[0 0 0 0 1 1 1 1 1 1 0]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 0 1 0 1 1 1]
[0 0 0 0 0 0 0 0 0 1 1]
[1 0 0 0 0 0 1 1 1 1 1]
[1 1 0 0 0 0 0 1 1 1 1]
[1 1 1 0 1 0 0 1 1 0 1]
[1 1 0 0 1 1 1 0 0 0 1]
[1 1 1 0 1 1 1 0 0 1 0]
[1 1 1 1 1 1 0 0 1 0 1]
[0 1 1 1 1 1 1 1 0 1 0]
Degree sequence:   [6, 6, 4, 2, 6, 6, 7, 6, 7, 8, 8]
Determinant:   32
------------------------------------

[0 0 0 0 1 0 1 1 1 1 1]
[0 0 0 0 1 0 0 1 1 0 1]
[0 0 0 0 0 1 1 1 1 1 1]
[0 0 0 0 0 1 1 0 0 1 1]
[1 1 0 0 0 1 1 1 0 1 1]
[0 0 1 1 1 0 0 1 1 1 1]
[1 0 1 1 1 0 0 0 1 1 1]
[1 1 1 0 1 1 0 0 1 1 0]
[1 1 1 0 0 1 1 1 0 0 1]
[1 0 1 1 1 1 1 1 0 0 0]
[1 1 1 1 1 1 1 0 1 0 0]
Degree sequence:   [6, 4, 6, 4, 7, 7, 7, 7, 7, 7, 8]
Determinant:   32
------------------------------------

r_11=1 and r_10=0 for adjacency

3952 days ago by butler