Solution of ahortest paths in non-euclidean farey graph with floyd-warshall algorithm

dc.authorid0000-0002-6933-8494
dc.contributor.authorGökcan, İbrahim
dc.date.accessioned2025-10-09T05:39:59Z
dc.date.available2025-10-09T05:39:59Z
dc.date.issued2025
dc.departmentAÇÜ
dc.description.abstractAlgorithm applications on graphs are intensively researched. Graph theory systematizes complex and difficult problems and algorithms provide fast and clear solutions, which increases interest in the discipline. The Floyd-Warshall algorithm determines the shortest paths between all the vertices in a graph. In this paper, we consider the Floyd-Warshall algorithm on the Farey graph defined in a non-Euclidean hyperbolic space. A Farey graph with 15 edges and 9 vertices is constructed and the shortest paths from all vertices to other vertices are detected. By defining the weight between consecutive vertices, the shortest paths between the vertices are measured in terms of the number of steps.
dc.identifier.doi10.29233/sdufeffd.1591711
dc.identifier.endpage74
dc.identifier.issue1
dc.identifier.startpage63
dc.identifier.urihttps://hdl.handle.net/11494/6011
dc.identifier.volume20
dc.indekslendigikaynakTR-Dizin
dc.institutionauthorGökcan, İbrahim
dc.institutionauthorid0000-0002-6933-8494
dc.language.isoen
dc.publisherSüleyman Demirel Üniversitesi
dc.relation.ispartofSüleyman Demirel Üniversitesi Fen Edebiyat Fakültesi Fen Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFarey graph
dc.subjectFloyd-Warshall algorithm
dc.subjectnon-Euclidean hyperbolic space
dc.titleSolution of ahortest paths in non-euclidean farey graph with floyd-warshall algorithm
dc.typeArticle

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