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AdjacencyDeterminant on LabeledGraph ​

The determinant of the adjacency matrix.

On LabeledGraph

FindStat's St000351. The graph with no vertices has the empty determinant, 1.

Called as CombinatorialStat(x, "AdjacencyDeterminant"). The head's page has its examples.

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FindStat St000351

The determinant of the adjacency matrix of a graph.

ObjectValue
([],1)0
([],2)0
([],3)0
([],4)0
([],5)0
([],6)0
([],7)0
([(0,1)],2)-1

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000351 has the rest.