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The total distance vertex irregularity strength of fan and wheel graphs

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The distance vertex irregular total k-labelings on graph G(V, E) is a mapping f: V (G) ? E(G) ? {1, 2,?, k} such as for every u, v ? V (G) and u ? v, the weight of u is not equal to the weight of v. The weight of any vertex u ? V (G) evaluate based on the neighborhood of vertices and the neighborhood of edges of u. The total distance vertex irregularity strength of G denote by tdis(G), is the minimum of the biggest label k over all distance vertex irregular total k-labelings of G. In this paper, we determine the total distance vertex irregularity strength of fan and wheel graphs.

Original languageEnglish
Title of host publication3rd International Conference on Mathematics
Subtitle of host publicationEducation, Theory, and Application, ICMETA 2021
EditorsDiari Indriati, Tri Atmojo Kusmayadi, Sutrima Sutrima, Dewi Retno Sari Saputro, Putranto Hadi Utomo
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440708
DOIs
Publication statusPublished - 8 Feb 2021
Event3rd International Conference on Mathematics: Education, Theory, and Application, ICMETA 2021 - Surakarta, Online, Indonesia
Duration: 20 Oct 2020 → …

Publication series

NameAIP Conference Proceedings
Volume2326
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Conference on Mathematics: Education, Theory, and Application, ICMETA 2021
Country/TerritoryIndonesia
CitySurakarta, Online
Period20/10/20 → …

Keywords

  • distance vertex irregular total k-labeling
  • fan graphs
  • total labeling
  • wheel graphs

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