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Nature of Graphs of Commutative Ring of Gaussian Integer Modulo N Under X3 - 1 Mapping

dc.authorscopusid 55658335000
dc.authorscopusid 16307659900
dc.authorscopusid 57248210600
dc.authorscopusid 35185892900
dc.contributor.author Khalaf, A.J.M.
dc.contributor.author Nazeer, S.
dc.contributor.author Qayyum, K.
dc.contributor.author Cancan, M.
dc.date.accessioned 2025-05-10T16:43:50Z
dc.date.available 2025-05-10T16:43:50Z
dc.date.issued 2021
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp Khalaf A.J.M., Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq; Nazeer S., Department of Mathematics, Lahore College for Women University, Lahore, Pakistan; Qayyum K., Department of Mathematics, Lahore College for Women University, Lahore, Pakistan; Cancan M., Faculty of Education, Van Yuzuncu Yil University, Van, Turkey en_US
dc.description.abstract The aim of the present paper is to observe the structures of digraphs derived from the mappings f1: Zn[i] Zn[i] defined by f1 (x) = x3 — 1 whose vertex is Zn[i] = {a + bi: a, b (Formula presented) Zn} and for which there is a directed edge from x (Formula presented) Zn[i] to y (Formula presented) Zn[i] if and only if x3 — 1 = y (mod n). In this article, we investigated the structure of digraph. The in-degree of 1 and 0 in D1(n) are established where D1(n) is digraph obtained. Some regularity conditions of D1(n) are also discussed. For certain values of n, the simple conditions for the number of components and length of cycles is obtained. © 2021. All Rights Reserved. en_US
dc.identifier.endpage 72 en_US
dc.identifier.issn 1817-3462
dc.identifier.issue 2 en_US
dc.identifier.scopus 2-s2.0-85114360755
dc.identifier.scopusquality Q2
dc.identifier.startpage 58 en_US
dc.identifier.uri https://hdl.handle.net/20.500.14720/303
dc.identifier.volume 17 en_US
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Abdus Salam School of mathematical Sciences en_US
dc.relation.ispartof Journal of Prime Research in Mathematics en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject In-Degree en_US
dc.subject Regularity en_US
dc.subject Structure Of Digraph en_US
dc.subject Tree en_US
dc.title Nature of Graphs of Commutative Ring of Gaussian Integer Modulo N Under X3 - 1 Mapping en_US
dc.type Article en_US

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