@article{Pranjali_Kumar_Yadav_2021, title={Cayley Graphs Versus Algebraic Graphs}, volume={27}, url={http://jims-a.org/index.php/jimsa/article/view/800}, DOI={10.22342/jims.27.2.800.130-136}, abstractNote={<span class="fontstyle0">Let Γ be a finite group and let </span><span class="fontstyle2">S </span><span class="fontstyle3">⊆ </span><span class="fontstyle0">Γ be a subset. The </span><span class="fontstyle4">Cayley graph</span><span class="fontstyle0">, denoted by</span><span class="fontstyle2">Cay</span><span class="fontstyle0">(Γ</span><span class="fontstyle2">, S</span><span class="fontstyle0">) has vertex set Γ and two distinct vertices </span><span class="fontstyle2">x, y </span><span class="fontstyle3">∈ </span><span class="fontstyle0">Γ are joined by a directed edge from</span><span class="fontstyle2">x </span><span class="fontstyle0">to </span><span class="fontstyle2">y </span><span class="fontstyle0">if and only if there exists </span><span class="fontstyle2">s </span><span class="fontstyle3">∈ </span><span class="fontstyle2">S </span><span class="fontstyle0">such that </span><span class="fontstyle2">x </span><span class="fontstyle0">= </span><span class="fontstyle2">sy</span><span class="fontstyle0">. In this manuscript, we characterize the generating sets</span><span class="fontstyle2">S </span><span class="fontstyle0">for which </span><span class="fontstyle2">Cay</span><span class="fontstyle0">(Γ</span><span class="fontstyle2">, S</span><span class="fontstyle0">) is isomorphic to some</span><span class="fontstyle4">algebraic graphs</span><span class="fontstyle0">, namely, unit graphs, co-unit graphs, total graph and co-total graphs.</span>}, number={2}, journal={Journal of the Indonesian Mathematical Society}, author={Pranjali, Pranjali and Kumar, Amit and Yadav, Tanuja}, year={2021}, month={Jul.}, pages={130–136} }