Publication:
Inverse problem for albertson irregularity index

dc.contributor.buuauthorGüneş, Aysun
dc.contributor.buuauthorYURTTAŞ GÜNEŞ, AYSUN
dc.contributor.buuauthorTogan, M.
dc.contributor.buuauthorDemirci, Musa
dc.contributor.buuauthorDEMİRCİ, MUSA
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.buuauthorCANGÜL, İSMAİL NACİ
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.
dc.contributor.orcid0000-0001-5349-3978
dc.contributor.orcid0000-0002-0700-5774
dc.contributor.researcheridA-6557-2018
dc.contributor.researcheridAAG-8470-2021
dc.contributor.researcheridJ-3505-2017
dc.date.accessioned2024-10-03T12:39:55Z
dc.date.available2024-10-03T12:39:55Z
dc.date.issued2022-01-01
dc.description.abstractGraph indices have attracted great interest as they give us numerical clues for several properties of molecules. Some indices give valuable information on the molecules under consideration using mathematical calculations only. For these reasons, the calculation and properties of graph indices have been in the center of research. Naturally, the values taken by a graph index is an important problem called the inverse problem. It requires knowledge about the existence of a graph having index equal to a given number. The inverse problem is studied here for Albertson irregularity index as a part of investigation on irregularity indices. A class of graphs is constructed to show that the Albertson index takes all positive even integers. It has been proven that there exists at least one tree with Albertson index equal to every even positive integer but 4. The existence of a unicyclic graph with irregularity index equal to m is shown for every even positive integer m except 4. It is also shown that the Albertson index of a cyclic graph can attain any even positive integer.
dc.identifier.endpage669
dc.identifier.issn2146-1147
dc.identifier.issue2
dc.identifier.startpage662
dc.identifier.urihttps://hdl.handle.net/11452/45814
dc.identifier.volume12
dc.identifier.wos000785812900025
dc.indexed.wosWOS.ESCI
dc.language.isoen
dc.publisherTurkic World Mathematical Soc
dc.relation.journalTwms Journal Of Applied And Engineering Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectGraph
dc.subjectTrees
dc.subjectInverse problem
dc.subjectAlbertson index
dc.subjectIrregularity index
dc.subjectTopological graph index
dc.subjectScience & technology
dc.subjectPhysical sciences
dc.subjectMathematics, applied
dc.subjectMathematics
dc.titleInverse problem for albertson irregularity index
dc.typeArticle
dspace.entity.typePublication
relation.isAuthorOfPublicatione2d46f0d-e1af-46a1-8816-bd2c471b2a3d
relation.isAuthorOfPublication939e5708-c157-458f-9a96-64c516b838b5
relation.isAuthorOfPublication601ef81f-9bdf-4a4a-9ac1-82a82260384d
relation.isAuthorOfPublication.latestForDiscoverye2d46f0d-e1af-46a1-8816-bd2c471b2a3d

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