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- W4313331877 abstract "The cyclic graph [Formula: see text] of a semigroup [Formula: see text] is the simple undirected graph whose vertex set is [Formula: see text] and two vertices [Formula: see text] are adjacent if the subsemigroup generated by [Formula: see text] and [Formula: see text] is monogenic. In this paper, we determine the clique number of [Formula: see text] for an arbitrary semigroup [Formula: see text]. Further, we obtain the independence number of [Formula: see text] if [Formula: see text] is a finite monogenic semigroup. At the final part of this paper, we give bounds for independence number of [Formula: see text] if [Formula: see text] is a semigroup of bounded exponent and we also characterize the semigroups attaining the bounds." @default.
- W4313331877 created "2023-01-06" @default.
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- W4313331877 date "2023-02-02" @default.
- W4313331877 modified "2023-10-16" @default.
- W4313331877 title "On the clique number and independence number of the cyclic graph of a semigroup" @default.
- W4313331877 doi "https://doi.org/10.1142/s0219498824501019" @default.
- W4313331877 hasPublicationYear "2023" @default.
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