Fibonacci graphs

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dc.contributor.authorÇevik, Ahmet Sinan
dc.contributor.buuauthorGüneş, Aysun Yurttaş
dc.contributor.buuauthorDelen, Sadık
dc.contributor.buuauthorDemirci, Musa
dc.contributor.buuauthorCangül, İsmail Naci
dc.contributor.departmentBursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0002-0700-5774tr_TR
dc.contributor.orcid0000-0003-4689-3660tr_TR
dc.contributor.orcid0000-0002-6439-8439tr_TR
dc.contributor.researcheridJ-3505-2017tr_TR
dc.contributor.researcheridAAG-8470-2021tr_TR
dc.contributor.scopusid37090056000tr_TR
dc.contributor.scopusid57204472528tr_TR
dc.contributor.scopusid23566581100tr_TR
dc.contributor.scopusid57189022403tr_TR
dc.date.accessioned2022-12-29T07:06:40Z
dc.date.available2022-12-29T07:06:40Z
dc.date.issued2020-08-14
dc.description.abstractApart from its applications in Chemistry, Biology, Physics, Social Sciences, Anthropology, etc., there are close relations between graph theory and other areas of Mathematics. Fibonacci numbers are of utmost interest due to their relation with the golden ratio and also due to many applications in different areas from Biology, Architecture, Anatomy to Finance. In this paper, we define Fibonacci graphs as graphs having degree sequence consisting of n consecutive Fibonacci numbers and use the invariant omega to obtain some more information on these graphs. We give the necessary and sufficient conditions for the realizability of a set D of n successive Fibonacci numbers for every n and also list all possible realizations called Fibonacci graphs for 1 <= n <= 4.en_US
dc.identifier.citationGüneş, Y. A. vd. (2020). "Fibonacci graphs". Symmetry-Basel, 12(9).en_US
dc.identifier.issn2073-8994
dc.identifier.issue9tr_TR
dc.identifier.scopus2-s2.0-85090400401tr_TR
dc.identifier.urihttps://doi.org/10.3390/sym12091383
dc.identifier.urihttps://www.mdpi.com/2073-8994/12/9/1383
dc.identifier.urihttp://hdl.handle.net/11452/30155
dc.identifier.volume12tr_TR
dc.identifier.wos000587623100001
dc.indexed.scopusScopusen_US
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.collaborationYurt içitr_TR
dc.relation.journalSymmetry-Baselen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectOmega invarianten_US
dc.subjectDegree sequenceen_US
dc.subjectRealizabilityen_US
dc.subjectFibonacci numberen_US
dc.subjectFibonacci graphen_US
dc.subjectScience & technology - other topicsen_US
dc.subject.scopusDegree Sequence; Split Graph; Graphen_US
dc.subject.wosMultidisciplinary sciencesen_US
dc.titleFibonacci graphsen_US
dc.typeArticle
dc.wos.quartileQ2en_US

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