Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 11, No 1 (2023): Electronic Journal of Graph Theory and Applications

Total distance vertex irregularity strength of some corona product graphs

Dian Eka Wijayanti (Universitas Brawijaya Universitas Ahmad Dahlan)
Noor Hidayat (Universitas Brawijaya)
Diari Indriati (Universitas Sebelas Maret)
Abdul Rouf Alghofari (Universitas Brawijaya)
Slamin Slamin (University of Jember)



Article Info

Publish Date
08 Apr 2023

Abstract

A distance vertex irregular total k-labeling of a simple undirected graph G = G(V, E), is a function f : V(G)∪E(G)→{1, 2, …, k} such that for every pair vertices u, v ∈ V(G) and u ≠ v, the weights of u and v are distinct. The weight of vertex v ∈ V(G) is defined to be the sum of the label of vertices in neighborhood of v and the label of all incident edges to v. The total distance vertex irregularity strength of G (denoted by tdis(G)) is the minimum of k for which G has a distance vertex irregular total k-labeling. In this paper, we present several results of the total distance vertex irregularity strength of some corona product graphs.

Copyrights © 2023






Journal Info

Abbrev

ejgta

Publisher

Subject

Electrical & Electronics Engineering

Description

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...