5 papers
Spectral Radius, Vertex Deletion, and Chromatic Number of Signed Graphs
Abhay Jayarajan, M. Rajesh Kannan, Priti Prasanna Mondal +1
A signed graph is a graph with edges given signs or defined by the function . The adjacency matrix of is defined as per these signs. The relation betw…
When Are Standard Graph Products Isomorphic?
Priti Prasanna Mondal, M. Rajesh Kannan, Fouzul Atik
This article investigates the isomorphism problem for graphs derived from the four standard graph products: Cartesian, Kronecker (direct), strong, and lexicographic product. We pro…
On the Spectral Analysis of Power Graph of Dihedral Groups
Basit Auyoob Mir, Fouzul Atik, Priti Prasanna Mondal
The power graph \( \mathcal{G}_G \) of a group \( G \) is a graph whose vertex set is \( G \), and two elements \( x, y \in G \) are adjacent if one is an integral power of the oth…
On the distance spectrum of the Kronecker product of distance regular graphs
Priti Prasanna Mondal, Fouzul Atik
Consider two simple graphs, G1 and G2, with their respective vertex sets V(G1) and V(G2). The Kronecker product forms a new graph with a vertex set V(G1) X V(G2). In this new graph…
Spectral radius and second largest eigenvalues of power graphs of finite groups
Priti Prasanna Mondal, Basit Auyoob Mir, Fouzul Atik
Consider a group and construct its power graph, whose vertex set consists of the elements of . Two distinct vertices (elements) are adjacent in the graph i…