On comb product graphs with respect to the complement metric dimension

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Abstract

The complement metric dimension of graph is one of the recent topics in graph theory. The concept came from the metric dimension which is a topic that has developed very rapidly. The complement metric dimension of graph G is denoted by dmi(G). The goal of this research is to determine complement metric dimension of comb product of special graphs, such as path graph (Pn), star graph (S.,), and complete graph (Kn). Furthermore, we find complement metric dimension of comb product of any graphs G and H. We get that complement metric dimension of comb product of graph G and H depends on the order of both graph and complement metric dimension of graph H.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics, Computational Sciences and Statistics 2020
EditorsCicik Alfiniyah, Fatmawati, Windarto
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440739
DOIs
Publication statusPublished - 26 Feb 2021
EventInternational Conference on Mathematics, Computational Sciences and Statistics 2020, ICoMCoS 2020 - Surabaya, Indonesia
Duration: 29 Sept 2020 → …

Publication series

NameAIP Conference Proceedings
Volume2329
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematics, Computational Sciences and Statistics 2020, ICoMCoS 2020
Country/TerritoryIndonesia
CitySurabaya
Period29/09/20 → …

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