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All Journal Journal of the Indonesian Mathematical Society
Tanuja Yadav
Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali-304022, India.
Mathematics

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Cayley Graphs Versus Algebraic Graphs Pranjali Pranjali; Amit Kumar; Tanuja Yadav
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 2 (July 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.2.800.130-136

Abstract

Let Γ be a finite group and let S ⊆ Γ be a subset. The Cayley graph, denoted byCay(Γ, S) has vertex set Γ and two distinct vertices x, y ∈ Γ are joined by a directed edge fromx to y if and only if there exists s ∈ S such that x = sy. In this manuscript, we characterize the generating setsS for which Cay(Γ, S) is isomorphic to somealgebraic graphs, namely, unit graphs, co-unit graphs, total graph and co-total graphs.
Co-Authors Amit Kumar Pranjali Pranjali