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On some properties of vector space based graphs

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dc.contributor.authorCameron, Peter J.
dc.contributor.authorDas, Angsuman
dc.contributor.authorDey, Hiranya Kishore
dc.date.accessioned2023-09-12T23:36:11Z
dc.date.available2023-09-12T23:36:11Z
dc.date.issued2023
dc.identifier281138422
dc.identifierc1e298ff-bd55-4268-9d25-f4ff1ebdedc9
dc.identifier85138009075
dc.identifier000853763600001
dc.identifier.citationCameron , P J , Das , A & Dey , H K 2023 , ' On some properties of vector space based graphs ' , Linear and Multilinear Algebra , vol. 71 , no. 17 , pp. 2858-2868 . https://doi.org/10.1080/03081087.2022.2121370en
dc.identifier.issn0308-1087
dc.identifier.otherORCID: /0000-0003-3130-9505/work/119212256
dc.identifier.urihttps://hdl.handle.net/10023/28356
dc.descriptionFunding: The second author acknowledges the funding of DST grants no. SRG/2019/000475 and SR/F ST/MS − I/2019/41, Govt. of India. The third author acknowledges Department of Atomic Energy, Government of India for the financial support and Harish-Chandra Research Institute for the research facilities provided.en
dc.description.abstractIn this paper, we study some problems related to subspace inclusion graph ℐn() and subspace sum graph () of a finite-dimensional vector space . Namely, we prove that ℐn() is a Cayley graph as well as Hamiltonian when the dimension of is 3. We also find the exact value of independence number of () when the dimension of is odd. The above two problems were left open in previous works in the literature. Moreover, we prove that the determining numbers of ℐn() and () are bounded above by 6. Finally, we study some forbidden subgraphs of these two graphs.
dc.format.extent11
dc.format.extent257682
dc.language.isoeng
dc.relation.ispartofLinear and Multilinear Algebraen
dc.subjectMaximal intersecting familyen
dc.subjectHamiltonianen
dc.subjectBaseen
dc.subjectQA Mathematicsen
dc.subjectMathematics(all)en
dc.subjectT-NDASen
dc.subject.lccQAen
dc.titleOn some properties of vector space based graphsen
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.doi10.1080/03081087.2022.2121370
dc.description.statusPeer revieweden
dc.date.embargoedUntil2023-09-13


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