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A new method for the sum-edge characteristic polynomials of graphs

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dc.contributor.authorÖz, Mert Sinan
dc.contributor.authorCangül, İsmail Naci
dc.contributor.buuauthorCANGÜL, İSMAİL NACİ
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.researcheridJ-3505-2017
dc.date.accessioned2024-09-18T13:15:47Z
dc.date.available2024-09-18T13:15:47Z
dc.date.issued2022-01-01
dc.description.abstractIn this paper, the determinant of the sum-edge adjacency matrix of any given graph without loops is calculated by means of an algebraic method using spanning elementary subgraphs and also the coefficients of the corresponding sum-edge characteristic polynomial are determined by means of the elementary subgraphs. Also, we provide a formula for calculating the number of smallest odd-sized cycles in a given regular graph.
dc.identifier.doi10.5269/bspm.47918
dc.identifier.eissn2175-1188
dc.identifier.issn0037-8712
dc.identifier.urihttps://doi.org/10.5269/bspm.47918
dc.identifier.urihttps://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/47918
dc.identifier.urihttps://hdl.handle.net/11452/44905
dc.identifier.volume40
dc.indexed.wosWOS.ESCI
dc.language.isoen
dc.publisherSoc Paranaense Matematica
dc.relation.journalBoletim Sociedade Paranaense de Matematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectEnergy
dc.subjectGraphs
dc.subjectAdjacency
dc.subjectSum-edge adjacency
dc.subjectCharacteristic polynomial
dc.subjectPermutation
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics
dc.titleA new method for the sum-edge characteristic polynomials of graphs
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublication601ef81f-9bdf-4a4a-9ac1-82a82260384d
relation.isAuthorOfPublication.latestForDiscovery601ef81f-9bdf-4a4a-9ac1-82a82260384d

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