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- W4324302653 abstract "A cubelike graph is a Cayley graph on the product $mathbb{Z}_2timescdotstimesmathbb{Z}_2$ of the integers modulo $2$ with itself finitely many times. In 1992, Payan proved that no cubelike graph can have chromatic number $3$. The authors of the present paper previously developed a general matrix method for studying chromatic numbers of Cayley graphs on abelian groups. In this note, we apply this method of Heuberger matrices to give an alternate proof of Payan's theorem." @default.
- W4324302653 created "2023-03-16" @default.
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- W4324302653 date "2023-03-10" @default.
- W4324302653 modified "2023-10-16" @default.
- W4324302653 title "An alternate proof of Payan's theorem on cubelike graphs" @default.
- W4324302653 doi "https://doi.org/10.48550/arxiv.2303.06267" @default.
- W4324302653 hasPublicationYear "2023" @default.
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