The Dominant Metric Dimension of the Edge Corona Product Graph

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Abstract

The dominant metric dimension is the result of the development of the concept of metric dimension and dominant number in graph theory. This study aims to determine the dominant metric dimension of the edge corona product of a connected graph G and special graph H. The special graphs in here such as path graph, cycle graph, complete graph, and complete bipartite graph. As a result, the dominant metric dimension of the edge corona product graph depends on the size of graph G and the order of its special graph.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
EditorsElly Pusporani, Nashrul Millah, Eva Hariyanti
PublisherAmerican Institute of Physics Inc.
Edition1
ISBN (Electronic)9780735447738
DOIs
Publication statusPublished - 22 Dec 2023
EventInternational Conference on Mathematics, Computational Sciences, and Statistics 2022, ICoMCoS 2022 - Hybrid, Surabaya, Indonesia
Duration: 2 Oct 20223 Oct 2022

Publication series

NameAIP Conference Proceedings
Number1
Volume2975
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematics, Computational Sciences, and Statistics 2022, ICoMCoS 2022
Country/TerritoryIndonesia
CityHybrid, Surabaya
Period2/10/223/10/22

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