The unitary Cayley graph of a semiring

Published 14 Nov 2023 in math.RA | (2311.08018v1)

Abstract: We study the unitary Cayley graph of a matrix semiring. We find bounds for its diameter, clique number and independence number, and determine its girth. We also find the relationship between the diameter and the clique number of a unitary Cayley graph of a semiring $S$ and a matrix semiring over $S$.

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David Dolžan

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