BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 18 No 2 (2024): BAREKENG: Journal of Mathematics and Its Application

ON THE LOCATING CHROMATIC NUMBER OF DISJOINT UNION OF BUCKMINSTERFULLERENE GRAPHS

Debi Zulkarnain (Department of Mathematics and Science Data, Faculty of Mathematics and Natural Sciences Universitas Andalas, Indonesia)
Lyra Yulianti (Department of Mathematics and Science Data, Faculty of Mathematics and Natural Sciences Universitas Andalas, Indonesia)
Des Welyyanti (Department of Mathematics and Science Data, Faculty of Mathematics and Natural Sciences Universitas Andalas, Indonesia)
Kiki Khaira Mardimar (Department of Mathematics and Science Data, Faculty of Mathematics and Natural Sciences Universitas Andalas, Indonesia)
Muhammad Rafif Fajri (Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia)

Article Info

Publish Date
25 May 2024

Abstract

Let be a connected non-trivial graph. Let c be a proper vertex-coloring using k colors, namely . Let be a partition of induced by , where is the color class that receives the color . The color code, denoted by , is defined as , where for , and is the distance between two vertices and in G. If all vertices in have different color codes, then is called as the locating-chromatic -coloring of . The locating-chromatic number of , denoted by , is the minimum such that has a locating coloring. Let be the Buckminsterfullerene graph on vertices. Buckminsterfullerene graph is a 3-connected planar graph and a member of the fullerene graphs, representing fullerene molecules in chemistry. In this paper, we determine the locating chromatic number of the disjoint union of Buckminsterfullerene graphs, denoted by .

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...