Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/10472
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dc.contributor.authorEǧeci˙oǧlu,Ö.-
dc.contributor.authorSaygi,E.-
dc.contributor.authorSaygi,Z.-
dc.date.accessioned2023-07-14T20:17:07Z-
dc.date.available2023-07-14T20:17:07Z-
dc.date.issued2024-
dc.identifier.issn1793-8309-
dc.identifier.urihttps://doi.org/10.1142/S1793830923500271-
dc.identifier.urihttps://hdl.handle.net/20.500.11851/10472-
dc.description.abstractThe diameter of a graph is the maximum distance between pairs of vertices in the graph. A pair of vertices whose distance is equal to its diameter is called diametrically opposite vertices. The collection of shortest paths between diametrically opposite vertices is referred as diametral paths. In this work, we enumerate the number of diametral paths for Fibonacci cubes, Lucas cubes and alternate Lucas cubes. We present bijective proofs that show that these numbers are related to alternating permutations and are enumerated by Euler numbers. © 2024 World Scientific Publishing Company.en_US
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK, (120F125); Hacettepe Üniversitesien_US
dc.language.isoenen_US
dc.publisherWorld Scientificen_US
dc.relation.ispartofDiscrete Mathematics, Algorithms and Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectalternate Lucas cubeen_US
dc.subjectdiametral pathen_US
dc.subjectEuler numberen_US
dc.subjectFibonacci cubeen_US
dc.subjectLucas cubeen_US
dc.subjectShortest pathen_US
dc.titleEuler Numbers and Diametral Paths in Fibonacci Cubes, Lucas Cubes and Alternate Lucas Cubesen_US
dc.typeArticleen_US
dc.departmentTOBB ETÜen_US
dc.identifier.volume16en_US
dc.identifier.issue3en_US
dc.identifier.wosWOS:000979971200002-
dc.identifier.scopus2-s2.0-85158892813-
dc.identifier.doi10.1142/S1793830923500271-
dc.authorscopusid58242987200-
dc.authorscopusid37091562700-
dc.authorscopusid15081022700-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.cerifentitytypePublications-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
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