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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Yulianti, Lyra
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Andalas, Indonesia
Electrical & Electronics Engineering

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The locating chromatic number of (k,n)-split cycle graph and its barbell operation Asmiati, Asmiati; Prawinasti, Kasandra; Damayanti, Maharani; Yulianti, Lyra
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 13, No 2 (2025): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2025.13.2.3

Abstract

The locating chromatic number remains an active topic in graph theory. It combines the concepts of partition dimension and proper vertex coloring. A necessary condition for determining the locating chromatic number is that each vertex must have a unique color code under a minimal coloring. This paper investigates the locating chromatic number of the (k,n)-split cycle graph and its barbell operation.
Co-Authors Asmiati, Asmiati Damayanti, Maharani Prawinasti, Kasandra