Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 13, No 2 (2025): Electronic Journal of Graph Theory and Applications

The locating chromatic number of (k,n)-split cycle graph and its barbell operation

Asmiati, Asmiati (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia)
Prawinasti, Kasandra (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia)
Damayanti, Maharani (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia)
Yulianti, Lyra (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Andalas, Indonesia)

Article Info

Publish Date
28 Oct 2025

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.

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Journal Info
Electronic Journal of Graph Theory and Applications (EJGTA)
Website

Abbrev

ejgta

Publisher

Indonesian Combinatorial Society

Subject

Electrical & Electronics Engineering

Description

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...