Order divisor graphs of finite groups

Shafiq Ur Rehman, Abdul Qudair Baig, Muhammad Imran, Zia Ullah Khan

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The interplay between groups and graphs have been the most famous and productive area of algebraic graph theory. In this paper, we introduce and study the graphs whose vertex set is group G such that two distinct vertices a and b having different orders are adjacent provided that o(a) divides o(b) or o(b) divides o(a).

Original languageEnglish
Pages (from-to)29-40
Number of pages12
JournalAnalele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Volume26
Issue number3
DOIs
Publication statusPublished - 2018

Keywords

  • Connected graphs
  • Cyclic groups
  • Elementary abelian groups
  • Finite groups
  • P-groups
  • Sequential joins
  • Star graphs

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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