Local Multiset Dimension of Amalgamation Cycle

Ridho Alfarisi, Liliek Susilowati, Dafik

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

One of the topics of distance in graphs is resolving set problems. Suppose the set W = {s1, s2,. . ., sk} ⊂ V(G), the vertex representations of ∈ V(G) is rm(x|W) = {d(x, s1), d(x, s2),. . ., d(x, sk)}, where d(x, si) is the length of the shortest path of the vertex x and the vertex in W together with their multiplicity. The set W is called a local m-resolving set of graphs G if rm(v|W) ≠ rm(u|W) for uv ∈ E(G). The local m-resolving set having minimum cardinality is called the local multiset basis and it’s cardinality is called the local multiset dimension of G, denoted by mdl(G). In our paper, we determined the local multiset dimension of amalgamation of cycles.

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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