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Zagreb indices of graphs with added edges

dc.contributor.authorYurttaş, Aysun
dc.contributor.authorTogan, Müge
dc.contributor.authorCangül, İsmail Naci
dc.contributor.buuauthorYURTTAŞ GÜNEŞ, AYSUN
dc.contributor.buuauthorTogan, Müge
dc.contributor.buuauthorCANGÜL, İSMAİL NACİ
dc.contributor.departmentFen ve Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.scopusid37090056000
dc.contributor.scopusid54403978300
dc.contributor.scopusid57189022403
dc.date.accessioned2025-05-13T09:48:06Z
dc.date.issued2018-01-01
dc.description.abstractEdge deletion and addition to a graph is an important combinatorial method in Graph Theory which enables one to calculate some properties of a graph by means of similar graphs. In this paper, as a sequel to a recent paper on edge deletion, we consider the change in the first and second Zagreb indices of a simple graph G when an arbitrary edge is added. This can be used to calculate the first and second Zagreb indices of larger graphs in terms of the Zagreb indices of smaller graphs. As some examples, some inequalities for the change of Zagreb indices for path, cycle, star, complete, complete bipartite and tadpole graphs are given.
dc.identifier.doi10.17777/pjms2018.21.3.385
dc.identifier.endpage392
dc.identifier.issn1598-7264
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85075180504
dc.identifier.startpage385
dc.identifier.urihttps://hdl.handle.net/11452/52268
dc.identifier.volume21
dc.indexed.scopusScopus
dc.language.isoen
dc.publisherJangjeon Research Institute for Mathematical Sciences and Physics
dc.relation.bapF-2013/23, F-2015/17
dc.relation.journalProceedings of the Jangjeon Mathematical Society
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectZagreb indices
dc.subjectTopological indices
dc.subjectGraphs
dc.subjectEdge addition
dc.subject.scopusTopological Indices in Molecular Graph Theory
dc.titleZagreb indices of graphs with added edges
dc.typeArticle
dspace.entity.typePublication
local.contributor.departmentFen ve Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
relation.isAuthorOfPublicatione2d46f0d-e1af-46a1-8816-bd2c471b2a3d
relation.isAuthorOfPublication601ef81f-9bdf-4a4a-9ac1-82a82260384d
relation.isAuthorOfPublication.latestForDiscoverye2d46f0d-e1af-46a1-8816-bd2c471b2a3d

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