Important: The networks package has been deprecated.  Use the superseding command GraphTheory[CharacteristicPolynomial] instead.

This routine computes the characteristic polynomial of the adjacency matrix of G expressed as a polynomial in x.

As part of the networks package it is normally loaded via with(networks) but the full name of networks['charpoly'](...) can also be used.

$\mathrm{with}\left(\mathrm{networks}\right)\:$

$\mathrm{charpoly}\left(\mathrm{complete}\left(4\right)\,x\right)$

$x^4-6x^2-8x-3$

$\mathrm{charpoly}\left(\mathrm{complete}\left(2\,3\right)\,x\right)$

$x^5-6x^3$

$\mathrm{solve}\left(\right)$

$0,0,0,\sqrt{6},-\sqrt{6}$