DC FieldValueLanguage
dc.contributor.authorStevanović, Sanjaen
dc.date.accessioned2020-05-01T20:13:08Z-
dc.date.available2020-05-01T20:13:08Z-
dc.date.issued2011-05-01en
dc.identifier.issn0011-1643en
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/1331-
dc.description.abstractLet G=(V,E) be a simple graph with n=|V| vertices and m=|E| edges. The first and the second Zagreb index are defined as M1= σuεVd2u and M2= σuvεEdudv, where du is the degree of vertex u. Professor Pierre Hansen at the International Academy of Mathematical Chemistry Meeting in 2006 conjectured that M1/m≤ M1/n holds for all simple graphs. While the conjecture is true for trees, unicyclic and chemical graphs, several counterexamples appeared in the literature. Here we extend the construction of counterexamples by showing that we may add a sufficiently large star to any graph G with m≥n+δ to obtain a counterexample For the variable Zagreb indices λ M1= σuεVdu2λ and λ M2=σuvεvd 2λuand λM2= σuvεEdλudλv, we prove that any graph G can be extended by a suitably large star so that λM1/n>λM2/m when 0<λ<1, and λM1/n<lambda;M2/m when λ<0 or λ>1.en
dc.publisherCroatian Chemical Society-
dc.relationSpatial, environmental, energy and social aspects of developing settlements and climate change – mutual impacts-
dc.relation.ispartofCroatica Chemica Actaen
dc.subjectMolecular structure descriptor | Zagreb indicesen
dc.titleOn a relation between the Zagreb indicesen
dc.typeArticleen
dc.identifier.doi10.5562/cca1579en
dc.identifier.scopus2-s2.0-79960229649en
dc.relation.firstpage17en
dc.relation.lastpage19en
dc.relation.issue1en
dc.relation.volume84en
dc.description.rankM23-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextnone-
crisitem.author.orcid0000-0001-7723-3417-
crisitem.project.funderNIH-
crisitem.project.fundingProgramNATIONAL INSTITUTE OF NEUROLOGICAL DISORDERS AND STROKE-
crisitem.project.openAireinfo:eu-repo/grantAgreement/NIH/NATIONAL INSTITUTE OF NEUROLOGICAL DISORDERS AND STROKE/5S11NS036035-03-
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