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K-Narayana sequence self-Similarity. flip graph views of k-Narayana self-Similarity

ArticleAçık Erişim

Özet

This paper introduces self-similarity inherent in planar Milich-Jennings centered flip graphs derived from the Narayana sequence. We show that self-similarity found in a Narayana sequence yields a connected spanning subgraph with a centered flip. This paper has several main results (1) Every Narayana sequence constructs a flip graph, (2) Every Narayana sequence is self-similar and (3) Every Pascal 3-triangle has a free group presentation. © 2021

Anahtar Kelimeler

Flip graphsK-Narayana sequencePascal 3-trianglePlanar graphSelf-SimilarityFlip graphFree groupsGroup presentationK-narayanum sequenceSelf-similarSelf-similaritiesSpanning subgraphsGraphic methods
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13198Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1016/j.chaos.2021.111473Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorÖzkan, Engin
dc.contributor.authorKuloǧlu, Bahar
dc.contributor.authorPeters, James F.
dc.date.accessioned2026-10-18T20:28:02.306635314Z
dc.date.available2026-10-18T20:28:02.306635314Z
dc.date.issued2021
dc.description.abstractThis paper introduces self-similarity inherent in planar Milich-Jennings centered flip graphs derived from the Narayana sequence. We show that self-similarity found in a Narayana sequence yields a connected spanning subgraph with a centered flip. This paper has several main results (1) Every Narayana sequence constructs a flip graph, (2) Every Narayana sequence is self-similar and (3) Every Pascal 3-triangle has a free group presentation. © 2021
dc.description.sponsorshipThis research has been supported by the Natural Sciences & Engineering Research Council of Canada (NSERC) discovery grant 185,986 and Instituto Nazionale di Alta Matematica (INdAM) Francesco Severi, Gruppo Nazionale per le Strutture Algebriche, Geometriche e Loro Applicazioni grant 9 920160 000362, n.prot U 2016/000036 and Scientific and Technological Research Council of Turkey (TUB. ITAK) Scientific Human Resources Development (BIDEB) under grant no: 2221-1059B211301223.
dc.identifier.doi10.1016/j.chaos.2021.111473
dc.identifier.eissn1873-2887
dc.identifier.issn0960-0779
dc.identifier.scopus2-s2.0-85117578525
dc.identifier.startpage111473
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13198
dc.identifier.volume153
dc.identifier.wosWOS:000712465700006
dc.language.isoen
dc.publisherElsevier Ltd
dc.relation.ispartofChaos, Solitons and Fractals
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFlip graphs
dc.subjectK-Narayana sequence
dc.subjectPascal 3-triangle
dc.subjectPlanar graph
dc.subjectSelf-Similarity
dc.subjectFlip graph
dc.subjectFree groups
dc.subjectGroup presentation
dc.subjectK-narayanum sequence
dc.subjectSelf-similar
dc.subjectSelf-similarities
dc.subjectSpanning subgraphs
dc.subjectGraphic methods
dc.titleK-Narayana sequence self-Similarity. flip graph views of k-Narayana self-Similarity
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus12
rdl.citation.wos11
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)