Total distance vertex irregularity strength of some corona product graphs
Main Authors: | Wijayanti, Dian Eka; Universitas Brawijaya Universitas Ahmad Dahlan, Hidayat, Noor; Universitas Brawijaya, Indriati, Diari; Universitas Sebelas Maret, Alghofari, Abdul Rouf; Universitas Brawijaya, Slamin, Slamin; University of Jember |
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Other Authors: | Prof. Slamin, Department of Informatics, Universitas Jember, Indonesia |
Format: | Article info application/pdf eJournal |
Bahasa: | eng |
Terbitan: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB
, 2023
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Subjects: | |
Online Access: |
https://www.ejgta.org/index.php/ejgta/article/view/1473 https://www.ejgta.org/index.php/ejgta/article/view/1473/pdf_273 |
Daftar Isi:
- 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.