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Maria Alensia Deltin Dala
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Education Mathematics

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On Local Vertex Antimagic Total Coloring Of Path, Cycle, And Star Graphs With Comb Operation Taradita Ayitia Meisya Fendina; Desi Febriani Putri; Wasono; Maria Alensia Deltin Dala
Journal of Mathematics Education and Science Vol. 8 No. 2 (2025): Journal of Mathematics Education and Science
Publisher : Universitas Nahdlatul Ulama Sunan Giri Bojonegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32665/james.v8i2.4777

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.
Co-Authors Desi Febriani Putri Taradita Ayitia Meisya Fendina Wasono