Dian Eka Wijayanti, Noor Hidayat, Diari Indriati, Abdul Rouf Alghofari, Slamin
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. © 2023,Electronic Journal of Graph Theory and Applications. All Rights Reserved.
Department of Mathematics, Universitas Brawijaya, Indonesia; Department of Mathematics, Universitas Sebelas Maret, Indonesia; Information System Study Program, University of Jember, Indonesia; Department of Mathematics, Universitas Ahmad Dahlan, Yogyakarta, Indonesia