6 papers · 1 filter
Characterisations of finite groups with exponent via their power graphs
Aditya Singh, Anmol chugh, Yogendra Singh +1
The power graph of a finite group is the graph with vertex set and edge set $E(P(G))=\{uv:\ u,v \in G,\ u \neq v,\ u \in \langle v \rangle \ \text{or}\ v \in \langle…
Spectral Properties of Power Graphs of Metacyclic Groups
Aditya Singh, Yogendra Singh, Anand Kumar Tiwari
For a group , the associated power graph is defined as the graph whose vertices are the elements of , with two distinct vertices being adjacent if either $u…
-Spectra of Joined Union Graphs with Applications to Power Graphs of Finite Groups
Aditya Singh, Yogendra Singh, Anand Kumar Tiwari
The \emph{generalized reciprocal distance matrix} of a graph , denoted by , is defined as $RD_α(\mathscr{G})=α\,RT_r(\mathscr{G})+(1-α)\,RD(\mathscr…
On the and matrices over certain groups
Yogendra Singh, Anand Kumar Tiwari, Fawad Ali
The power graph of a finite group is a graph with the vertex set and two vertices form an edge if and only if one is an integral power of the other.…
On the Spectral properties of power graphs over certain groups
Yogendra Singh, Anand Kumar Tiwari, Fawad Ali
The power graph of a group is a graph with the vertex set such that two distinct vertices form an edge if and only if one of them is an integral power of the other.…
Hamiltonicity of doubly semi-equivelar maps on the torus
Yogendra Singh, Anand Kumar Tiwari, Seema Kushwaha
The well-known twenty types of 2-uniform tilings of the plane give rise infinitely many doubly semi-equivelar maps on the torus. In this article, we show that every such doubly sem…