The Intersection Graph of Subgroups of the Dihedral Group of Order 2pq

  • Peshawa M. Khudhur Department of Mathematics, Faculty of Science, Soran University, Erbil, Kurdistan Region, Iraq https://orcid.org/0000-0003-0062-7519
  • Rashad R. Haji Department of Mathematics, College of Education, Salahaddin University-Erbil, Erbil, Kurdistan Region, Iraq
  • Sanhan M.S. Khasraw Department of Mathematics, College of Basic Education, Salahaddin University-Erbil, Erbil, Kurdistan Region, Iraq
Keywords: dihedral group, intersection graph of subgroups, detour distance, mean distance

Abstract

   For a finite group G, the intersection graph   of G is the graph whose vertex set is the set of all proper non-trivial subgroups of G, where two distinct vertices are adjacent if their intersection is a non-trivial subgroup of G. In this article, we investigate the detour index, eccentric connectivity, and total eccentricity polynomials of the intersection graph  of subgroups of the dihedral group  for distinct primes . We also find the mean distance of the graph  .

Published
2021-12-30
How to Cite
Khudhur, P. M., Haji, R. R., & Khasraw, S. M. (2021). The Intersection Graph of Subgroups of the Dihedral Group of Order 2pq. Iraqi Journal of Science, 62(12), 4923-4929. https://doi.org/10.24996/ijs.2021.62.12.30
Section
Mathematics