Application of near approximations in Cayley graphs

Dian Winda Setyawati, Soleha, Subiono, Imam Mukhlash, Rinurwati, Bijan Davvaz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we study near approximations in Cayley graphs, which are an extended study of rough approximations in Cayley graphs by using more than one equivalence relations. Furthermore, we introduce the notion of a near edge Cayley graphs, expanded to the near vertex pseudo-Cayley graphs and near pseudo-Cayley graphs. Some theorems dealing with the properties discussed are derived. We illustrate some examples especially in cyclic groups for simplification in graphs visualization.

Original languageEnglish
Article number2250180
JournalDiscrete Mathematics, Algorithms and Applications
Volume15
Issue number8
DOIs
Publication statusPublished - 1 Nov 2023

Keywords

  • Cayley graph
  • group
  • near approximation
  • rough approximation

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