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dc.contributor.authorBhowal, Parthajit
dc.contributor.authorCameron, Peter J.
dc.contributor.authorNath, Rajat Kanti
dc.contributor.authorSambale, Benjamin
dc.date.accessioned2023-04-21T11:30:04Z
dc.date.available2023-04-21T11:30:04Z
dc.date.issued2023-08-01
dc.identifier284055319
dc.identifierabe7a96a-fb74-49c9-b5d9-e3d39fb80029
dc.identifier85152964855
dc.identifier.citationBhowal , P , Cameron , P J , Nath , R K & Sambale , B 2023 , ' Solvable conjugacy class graph of groups ' , Discrete Mathematics , vol. 346 , no. 8 , 113467 . https://doi.org/10.1016/j.disc.2023.113467en
dc.identifier.issn0012-365X
dc.identifier.otherORCID: /0000-0003-3130-9505/work/133729472
dc.identifier.urihttps://hdl.handle.net/10023/27454
dc.descriptionFunding: The fourth author [BS] is supported by the German Research Foundation (SA 2864/1-2 and SA 2864/3-1).en
dc.description.abstractIn this paper we introduce the graph Γsc(G) associated with a group G, called the solvable conjugacy class graph (abbreviated as SCC-graph), whose vertices are the nontrivial conjugacy classes of G and two distinct conjugacy classes C, D are adjacent if there exist x ∈ C and y ∈ D such that x and y generate a solvable group. We discuss the connectivity, girth, clique number, and several other properties of the SCC-graph. One of our results asserts that there are only finitely many finite groups whose SCC-graph has given clique number d, and we find explicitly the list of such groups with d=2. We pose some problems on the relation of the SCC-graph to the solvable graph and to the NCC-graph, which we cannot solve.
dc.format.extent8
dc.format.extent308296
dc.language.isoeng
dc.relation.ispartofDiscrete Mathematicsen
dc.subjectClique numberen
dc.subjectNon-solvable groupen
dc.subjectGraphen
dc.subjectGirthen
dc.subjectConjugacy classen
dc.subjectQA Mathematicsen
dc.subjectMathematics(all)en
dc.subjectT-DASen
dc.subjectMCCen
dc.subject.lccQAen
dc.titleSolvable conjugacy class graph of groupsen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doi10.1016/j.disc.2023.113467
dc.description.statusPeer revieweden


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