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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Monther Rashed Alfuraidan
Department of Mathematics & Statistics King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia
Electrical & Electronics Engineering

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Inverse graphs associated with finite groups Monther Rashed Alfuraidan; Yusuf F. Zakariya
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 5, No 1 (2017): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2017.5.1.14

Abstract

Let $(\Gamma,*)$ be a finite group and $S$ a possibly empty subset of $\Gamma$ containing its non-self-invertible elements. In this paper, we introduce the inverse graph associated with $\Gamma$ whose set of vertices coincides with $\Gamma$ such that two distinct vertices $u$ and $v$ are adjacent if and only if either $u * v\in S$ or $v * u\in S$. We then investigate its algebraic and combinatorial structures.
Co-Authors Yusuf F. Zakariya