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All Journal TARBIYA : Journal Education in Muslim Society Jurnal Matematika UNAND ALGORITMA : Journal of Mathematics Education
Maryati, Tita Khalis
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Computer Science & IT Education Mathematics

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Journal : Jurnal Matematika UNAND

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On Metric Dimension of Edge Comb Product of Symmetric Graphs Maryati, Tita Khalis; Sobiruddin, Dindin; Hadiputra, Fawwaz Fakhrurrozi
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.349-357.2024

Abstract

Consider a finite graph G that is simple, undirected, and connected. Let W be an ordered set of vertices with |W| = k. The representation of a vertex v is defined as an ordered k-tuple that consists of the distances from vertex v to each vertex in W. The set W is called a resolving set for G if the k-tuples for any two vertices in G are distinct. The metric dimension of G, denoted by dim(G), is the smallest possible size of such a set W. In this paper, we determine the metric dimension of edge comb product of trees with complete multipartites or petersen graphs.
Co-Authors Aisah, K Dindin Sobiruddin, Dindin Hadiputra, Fawwaz Fakhrurrozi Raden Mohamad Herdian Bhakti Ramdani Miftah Rojabiah, Lulu Ul