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arxiv: 2206.11964 · v1 · pith:IVU2URJ2new · submitted 2022-06-23 · 🧮 math.CO

Relation between the correspondence chromatic number and the Alon--Tarsi number

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keywords numberalon--tarsichromaticcorrespondencegraphsrelationarbitrarybounds
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We study the relation between the correspondence chromatic number and the Alon--Tarsi number, both upper bounds on the list chromatic number of a graph. There are many graphs with Alon--Tarsi number greater than the correspondence chromatic number. We present here a family of graphs with arbitrary Alon--Tarsi number, with correspondence chromatic number one larger. Keywords: correspondence coloring, Alon--Tarsi number AMS Mathematics Subject Classification: 05C15

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