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Jonathan N. Davidson

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Preprint Oct 2026

Coloring Monomial Cayley Graphs: The One-Parameter Case

How do algebraic relations among unit directions influence the chromatic number of the plane? We introduce monomial Cayley graphs as a framework for investigating this question, beginning with graphs whose allowed unit steps are signed powers of a single complex parameter. Transcendental parameters give bipartite graph...

Jonathan N. Davidson · 0 citations

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