Journal of Mathematics Education and Science
Vol. 8 No. 2 (2025): Journal of Mathematics Education and Science

On Local Vertex Antimagic Total Coloring Of Path, Cycle, And Star Graphs With Comb Operation

Taradita Ayitia Meisya Fendina (Unknown)
Desi Febriani Putri (Unknown)
Wasono (Unknown)
Maria Alensia Deltin Dala (Unknown)



Article Info

Publish Date
31 Oct 2025

Abstract

Let G(V,E) be a graph consisting of a set of vertices V(G) and a set of edges E(G) where the number of vertices and edges are denoted by |V(G)| and |E(G)|, respectively. A bijective function f:V(G) \vee E(G) \to {1,2,3,...,(|V(G)|+|E(G)|)} is defined as a local vertex antimagic total coloring if there exist two adjacent vertex vx and vy with . Therefore, every local vertex antimagic total coloring produces a vertex coloring of the graph G, where each vertex v is assigned a color corresponding to its weight w(v). This research is essential as it contributes to development of graph coloring theory, particularly in the area of local vertex antimagic total coloring, which has been rarely studied. This research discusses the local vertex antimagic total coloring of and  which aims to determine the chromatic number. The result of the research is the chromatic number of local vertex antimagic total coloring of  and the chromatic number of local vertex antimagic total coloring , is if  is odd and  if  is even.

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Journal Info

Abbrev

JaMES

Publisher

Subject

Education Mathematics

Description

Journal of Mathematics Education and Science (JaMES) is a mathematical journal published biannually (April & October) by the Mathematics Educations Department, Fakultas Keguruan dan Ilmu Pendidikan, Universitas Nahdlatul Ulama Sunan Giri Bojonegoro. Journal includes research papers, literature ...