4 papers · 1 filter
Neighbourhood second Zagreb matrix of graphs: spectral radius bounds and extremal graphs
Subhendu Chakraborty, Priti Prasanna Mondal
Let be a connected graph on at least two vertices, and let be the sum of the degrees of the neighbours of a vertex . The \emph{neighbourhood second Zagreb matrix} $\N…
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…