EXPOSITIO

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A public repository for expository academic papers, with an integrated scholarly record.

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Coloring of graphs and hypergraphs

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Mathematics Combinatorics Graph theory Coloring of graphs and hypergraphs
Domain: Mathematics × Branch: Combinatorics × Branch: Graph theory × Branch: Coloring of graphs and hypergraphs ×

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Expositio paper

How Close Can a Chromatic Root Get to One?

Arnav Dhiman

Preprint
v1

In this paper we show that the chromatic function $P(G,t)$ is always a polynomial. We then ask a simple question: where does this polynomial equal zero? Tutte showed that two stretches of the real line, $(-\infty,0)$ and $(0,1)$, can never contain a root. Jackson showed in 1993 …

Mathematics / Combinatorics
Mathematics > Combinatorics > Coloring of graphs and hypergraphs Primary