Inverse graphs associated with finite groups

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...

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Veröffentlicht in:Electronic journal of graph theory and applications 2017-04, Vol.5 (1), p.142-154
Hauptverfasser: Alfuraidan, Monther R., Zakariya, Yusuf F.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2338-2287
2338-2287
DOI:10.5614/ejgta.2017.5.1.14