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.authorEgecioglu, Omer-
dc.contributor.authorSaygi, Elif-
dc.contributor.authorSaygi, Zulfukar-
dc.date.accessioned2023-07-14T20:17:07Z-
dc.date.available2023-07-14T20:17:07Z-
dc.date.issued2024-
dc.identifier.issn1793-8309-
dc.identifier.issn1793-8317-
dc.identifier.urihttps://doi.org/10.1142/S1793830923500271-
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.en_US
dc.description.sponsorshipHacettepe University [SUK-2021-19737]; TUBITAK [120F125]en_US
dc.description.sponsorshipThe work of the second author is supported by SUK-2021-19737 of the Hacettepe University. This work is partially supported by TUBITAK under Grant No.120F125.en_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectShortest Pathen_US
dc.subjectDiametral Pathen_US
dc.subjectFibonacci Cubeen_US
dc.subjectLucas Cubeen_US
dc.subjectAlternate Lucas Cubeen_US
dc.subjectEuler Numberen_US
dc.titleEuler Numbers and Diametral Paths in Fibonacci Cubes, Lucas Cubes and Alternate Lucas Cubesen_US
dc.typeArticleen_US
dc.departmentTOBB University of Economics and Technologyen_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.authorwosidSaygi, Elif/Aam-5834-2020-
dc.authorwosidSaygi, Zulfukar/W-4782-2018-
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.scopusqualityQ2-
dc.identifier.wosqualityN/A-
dc.description.woscitationindexEmerging Sources Citation Index-
item.grantfulltextnone-
item.fulltextNo Fulltext-
item.openairetypeArticle-
item.languageiso639-1en-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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