4 citations · 10 across the 12 of their papers we have counts for
15 papers
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…
Hosoya properties of power graphs over certain groups
Yogendra Singh, Anand Kumar Tiwari, Fawad Ali
The power graph denoted by of a finite group is a graph with vertex set and there is an edge between two distinct elements $u…
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.…
On the power graph of a certain gyrogroup
Yogendra Singh, Anand Kumar Tiwari, Fawad Ali +1
The power graph of a group is a simple graph with the vertex set such that two distinct vertices are adjacent in if and only if or $v^m…
2-semi-equivelar maps on the torus and Klein bottle with few vertices
Anand Kumar Tiwari, Yogendra Singh, Amit Tripathi
The -semi equivelar maps, for , are generalizations of maps on the surfaces of Johnson solids to closed surfaces other than the 2-sphere. In the present study, we dete…
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…
Some doubly semi-equivelar maps on the plane and the torus
Yogendra Singh, Anand Kumar Tiwari
A vertex in a map has the face-sequence , if there are numbers of -gons incident at in the given cyclic order, for $1 \leq i…
Semi - Equivelar Maps on the Torus and the Klein Bottle with few vertices
Anand Kumar Tiwari, Ashish K. Upadhyay
Semi-Equivelar maps are generalizations of maps on the surfaces of Archimedean solids to surfaces other than the -sphere. The well known 11 types of normal tilings of the plane…
Semi-equivelar maps on the surface of Euler characteristic -1
Ashish K Upadhyay, Anand K Tiwari
Semi-Equivelar maps are generalizations of Archimedean solids to the surfaces other than 2-sphere. In earlier work a complete classification of semi-equivelar map of type $(3^5, 4)…
Some Semi - Equivelar Maps
Ashish K. Upadhyay, Anand K. Tiwari, Dipendu Maity
Semi-Equivelar maps are generalizations of Archimedean Solids (as are equivelar maps of the Platonic solids) to the surfaces other than Sphere. We classify some semi equivelar…
Equivelar and d-Covered Triangulations of Surfaces. II. Cyclic Triangulations and Tessellations
Frank H. Lutz
With the -family of cyclic triangulations we introduce a rich class of vertex-transitive triangulations of surfaces. In particular, there are infinite series of cyclic …
Equivelar and d-Covered Triangulations of Surfaces. I
Frank H. Lutz, Thom Sulanke, Anand K. Tiwari +1
We survey basic properties and bounds for -equivelar and -covered triangulations of closed surfaces. Included in the survey is a list of the known sources for -equivelar a…