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Superpower graphs of finite groups

dc.contributor.authorKumar A.
dc.contributor.authorSelvaganesh L.
dc.contributor.authorCameron P.J.
dc.contributor.authorTamizh Chelvam T.
dc.date.accessioned2026-06-24T09:44:07Z
dc.date.issued2025
dc.descriptionThis paper published with affiliation IIT (BHU), Varanasi in open access mode.
dc.description.Volume24
dc.description.abstractFor a finite group G, the superpower graph S(G) of G is an undirected simple graph with vertex set G and two vertices are adjacent in S(G) if and only if the order of one divides the order of the other in G. The aim of this paper is to provide tight bounds for the vertex connectivity, discuss Hamiltonian-like properties of superpower graph of finite non-Abelian groups having an element of exponent order. We also give some general results about superpower graphs and their relation to other graphs such as the Gruenberg-Kegel graph. © 2025 World Scientific Publishing Company.
dc.description.issue9
dc.identifier.doihttps://doi.org/10.1142/S0219498825502147
dc.identifier.issn2194988
dc.identifier.urihttps://idr-sdlib.iitbhu.ac.in/handle/123456789/24384
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofseriesJournal of Algebra and its Applications
dc.subjectMathematical Science
dc.titleSuperpower graphs of finite groups
dc.typeArticle

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