YYÜ GCRIS Basic veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

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

No Thumbnail Available

Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Abdus Salam School of mathematical Sciences

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.

Description

Keywords

In-Degree, Regularity, Structure Of Digraph, Tree

Turkish CoHE Thesis Center URL

WoS Q

N/A

Scopus Q

Q2

Source

Journal of Prime Research in Mathematics

Volume

17

Issue

2

Start Page

58

End Page

72