Indonesian Journal of Combinatorics
Vol 10, No 1 (2026)

Tripotent graph of finite rings

Haval M. Mohammed Salih (Soran University)

Article Info

Publish Date
24 Jun 2026

Abstract

In this paper, we find the number of non-trivial tripotent elements for some finite rings, namely ℤn, H(?q), and ?q Cn. For this purpose, we find the general formula of them. Furthermore, we introduce the tri-potent graph of a finite ring R, denoted by Tri(R), where two distinct vertices x and y in R with a<b are adjacent if and only if a − b ∈ Tri(R). It is shown that the tri-potent graph is a bi-regular connected with girth at most 4. Also, the tri potent graph of ℤn is bipartite graph for some n.

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Journal Info
Indonesian Journal of Combinatorics
Website

Abbrev

ijc

Publisher

Indonesian Combinatorial Society

Subject

Computer Science & IT Decision Sciences, Operations Research & Management

Description

Indonesian Journal of Combinatorics (IJC) publishes current research articles in any area of combinatorics and graph theory such as graph labelings, optimal network problems, metric dimension, graph coloring, rainbow connection and other related topics. IJC is published by the Indonesian ...