Diameters of commuting graphs of matrices over semirings

Details Diameters of commuting graphs of matrices over semirings Diameters of commuting graphs of matrices over semirings

2010-12-26

arxiv.org/abs/1012.5505v1

Mathematics

Rings and Algebras

8 pages

Scientific paper

We calculate the diameters of commuting graphs of matrices over the binary
Boolean semiring, the tropical semiring and an arbitrary nonentire commutative
semiring. We also find the lower bound for the diameter of the commuting graph
of the semiring of matrices over an arbitrary commutative entire antinegative
semiring.

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