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On a limit involving a transform of the chromatic polynomial

Here is a heuristic argument which perhaps someone can make rigorous. I write $v_n=v(G_n)$ and $e_n=e(G_n)$. Let $$ \chi_{G_n}(x) = x^{v_n}-c_{n,v_n-1} x^{v_n-1}+c_{n,v_n-2}x^{v_n-2}-\cdots. $$ I c …
Richard Stanley's user avatar