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Chromatic Number of the Cyclic Graph of Infinite Semigroup

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dc.contributor.author Kumar, Jitender
dc.date.accessioned 2023-08-11T10:39:21Z
dc.date.available 2023-08-11T10:39:21Z
dc.date.issued 2020-01
dc.identifier.uri https://dl.acm.org/doi/abs/10.1007/s00373-019-02120-4
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11336
dc.description.abstract The cyclic graph Γ(S) of a semigroup S is the simple graph whose vertex set is S, two element being adjacent if the subsemigroup generated by these two elements is monogenic. The purpose of this note is to prove that the chromatic number of Γ(S) is at most countable. The present paper generalizes the results of Shitov (Graphs Comb 33(2):485–487, 2017) and the corresponding results on power graph and enhanced power graph of groups obtained by Aalipour et al. (Electron J Comb 24(3):#P3.16, 2017). en_US
dc.language.iso en en_US
dc.publisher ACM Digital Library en_US
dc.subject Mathematics en_US
dc.subject Cyclic graph en_US
dc.title Chromatic Number of the Cyclic Graph of Infinite Semigroup en_US
dc.type Article en_US


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