Edge reflexive irregularity strength of mk -graph of path graph

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Authors: Muhammad Amir Asif, Hafiz Muhammad Afzal Siddiqui, Muhammad Faisal Nadeem
Cited by: 0

Abstract

In graph theory we define the total labeling, such that the edge labels and vertex labels are positive integers and even integers respectively and for different edges we have distinct weights, whereas the weight of an edge is the sum of labels of that edge and adjacent vertices, then labeling is referred as edge irregular reflexive total labeling. In this paper we calculated the exact values of reflexive edge irregularity strength for mk-graph of path graph mPn for k = 1 with n ≥ 3, m ≥ 4.

Fields of Study & Subjects

Graph Labeling and Dimension Problems Digital Image Processing Techniques Advanced Graph Theory Research

Publication details

Journal / source
Journal of Information and Optimization Sciences
Volume
47
Issue
1
Pages
235–250
Publication date
1 January 2026