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25 Dec 2021Mathchan is launched into public

0 / 1 / 0 / ?

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Hey dudes, can you help me? I would like to reprove Alan Sokal's theorem in another way, I know how to calculate the roots of a chromatic polynomial, but there is a piece missing from my puzzle: how is n-degree a chromatic polynomial calculated?
Pic's chromatic polynomial has degree 10 but it has three obviusly roots: 0,1,2; and it is not hard to calculate septic eq.