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coefficient of smallest power of $x$ in the adjacency characteristic polynomial of $g$ is $1$

asked 2022-02-06 20:11:57 +0200

anonymous user

Anonymous

updated 2022-02-07 00:36:39 +0200

slelievre gravatar image

This shows connected graphs on 7 vertices with nonsingular adjacency matrix.

for g in graphs.nauty_geng('7 -c'):
    if g.adjacency_matrix().determinant() == 0:
        t = g.adjacency_matrix().charpoly()
        g.show()
        print(t)

Using the above code, how we can obtain only those graphs (if any) satisfying the following property: coefficient of smallest power of $x$ in the adjacency characteristic polynomial of $g$ is $1$.

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answered 2022-02-06 20:38:07 +0200

Max Alekseyev gravatar image

Just add if t[t.ord()] == 1: before g.show()

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Nice..thanks

rewi gravatar imagerewi ( 2022-02-06 20:45:26 +0200 )edit

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Asked: 2022-02-06 20:11:57 +0200

Seen: 80 times

Last updated: Feb 07