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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Mn, Abdilla Nurul Azisah
Hasanuddin University
Electrical & Electronics Engineering

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The Edge Metric Dimension of the Comb Product of a Cycle and a Graph with a Dominant Vertex Mn, Abdilla Nurul Azisah; Hasmawati, Hasmawati; Nurwahyu, Budi; Hinding, Nurdin
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 14, No 1 (2026): 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.2026.14.1.2

Abstract

In this paper, we determine the edge metric dimension of the comb product of a cycle graph and a simple graph containing a dominant vertex. This result generalizes previous findings on the edge metric dimension of the comb product of a cycle and a complete graph. We show that the edge metric dimension of Cn ▷ D, where D is a simple graph with a dominant vertex, equals the product of the order of Cn and the order of D reduced by two.
Co-Authors Hasmawati, Hasmawati Hinding, Nurdin Nurwahyu, Budi