Contemporary Mathematics and Applications (ConMathA)
Vol. 6 No. 1 (2024)

Dimensi Partisi pada Graf Hasil Operasi Korona Tingkat-k

Rica Amalia (Universitas Islam Madura)
Ummi Nur Yatun Hasanah (Universitas Islam Madura)
Faisol (Universitas Islam Madura)
Tony Yulianto (Universitas Islam Madura)
Kuzairi (Universitas Islam Madura)



Article Info

Publish Date
31 Mar 2024

Abstract

Graph theory is one of the subjects in Discrete Mathematics that have long been known and are widely applied in various fields. The topics that are often discussed in graph theory include labeling, coloring, chromatic numbers, metric dimensions, and partition dimensions. Partition dimensions are obtained by grouping all the vertices on the graph into a number of partition classes, then determine the distance of all vertices to each partition class to get a representation. Partition class which representations have different coordinate vectors is called resolving partition. The minimum cardinality of resolving partition is called partition dimensions of the graph. The purpose of this study is to determine the partition dimensions of level corona operation graphs which are GʘkPm, GʘkCm and GʘkKm, where G, Pm, Cm and Km are connected non trivial graph, path graph, circle graph and complete graph respectively, and any integer k≥1.

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Journal Info

Abbrev

CONMATHA

Publisher

Subject

Materials Science & Nanotechnology Mathematics

Description

Contemporary Mathematics and Applications welcome research articles in the area of mathematical analysis, algebra, optimization, mathematical modeling and its applications include but are not limited to the following topics: general mathematics, mathematical physics, numerical analysis, ...