On the Wiener index of prime graphs PG(Zn)

被引：0

作者：

Wagay, Samir Ahmad ^{[1
]}

Bhat, Raof Ahmad ^{[2
]}

机构：

[1] Natl Inst Technol Srinagar, Srinagar, Jammu & Kashmir, India

[2] Aligarh Muslim Univ, Dept Math, Aligarh 202002, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2025年 / 18卷 / 09期

关键词：

Group action; orbits; Euler totient function phi(n); prime graph;

D O I：

10.1142/S1793557125500263

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Prime Graph, denoted by PG(R), is a graph associated with a ring R. The vertices of PG(R) correspond to the elements of the ring R, and two elements x and y are adjacent in PG(R) if and only if xRy = 0 or yRx = 0. In this paper, we explore the Wiener index of the prime graph for certain rings, specifically Z(n), where n = p(alpha) and n = p(alpha)q.

引用

页数：12

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