Inverse problem for sigma index

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dc.contributor.authorGutman, Ivan
dc.contributor.authorÇevik, Ahmet Sinan
dc.contributor.buuauthorTogan, Müge
dc.contributor.buuauthorYurttaş, Aysun
dc.contributor.buuauthorNaci Cangül, İsmail
dc.contributor.departmentUludağ Üniversitesi/Fen - Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0002-0700-5774tr_TR
dc.contributor.researcheridGBL-2333-2022
dc.contributor.researcheridAAG-8470-2021
dc.contributor.researcheridJ-3505-2017
dc.contributor.scopusid54403978300tr_TR
dc.contributor.scopusid37090056000tr_TR
dc.contributor.scopusid57189022403tr_TR
dc.date.accessioned2024-04-02T07:25:16Z
dc.date.available2024-04-02T07:25:16Z
dc.date.issued2018
dc.description.abstractIf G is a (molecular) graph and d(v), the degree of its vertex u, then its sigma index is defined as sigma(G) = Sigma(d(u) - d(v))(2), with summation going over all pairs of adjacent vertices. Some basic properties of sigma(G) are established. The inverse problem for topological indices is about the existence of a graph having its index value equal to a given non-negative integer. We study the problem for the sigma index and first show that sigma(G) is an even integer. Then we construct graph classes in which sigma(G) covers all positive even integers. We also study the inverse problem for acyclic, unicyclic, and bicyclic graphs.en_US
dc.identifier.citationGutman, I. vd. (2018). ''Inverse problem for sigma index''. Match, 79(2), 491-508.en_US
dc.identifier.endpage508tr_TR
dc.identifier.issn0340-6253
dc.identifier.issue2tr_TR
dc.identifier.scopus2-s2.0-85040943182tr_TR
dc.identifier.startpage491tr_TR
dc.identifier.urihttps://hdl.handle.net/11452/40903
dc.identifier.volume79tr_TR
dc.identifier.wos000426139900019tr_TR
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherUniversity of Kragujevacen_US
dc.relation.bapF-2015/17
dc.relation.collaborationYurt dışıtr_TR
dc.relation.collaborationYurt içitr_TR
dc.relation.journalMatchen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject1st zagreb indexen_US
dc.subjectMoleculer-orbitalsen_US
dc.subjectWiener indexesen_US
dc.subjectGraph-theoryen_US
dc.subjectIrregularityen_US
dc.subjectTressen_US
dc.subject.scopusGraph; Unicyclic Graph; Vertex Degreeen_US
dc.subject.wosChemistry, multidisciplinaryen_US
dc.subject.wosComputer science, interdisciplinary applicationsen_US
dc.subject.wosMathematics, interdisciplinary applicationsen_US
dc.titleInverse problem for sigma indexen_US
dc.typeArticleen_US

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