5 papers
-Spectra of - and -Join Graphs with Applications to Cospectral Constructions
Mainak Basunia, Pratima Panigrahi
For , the -matrix of a graph is defined by , where and denote the adjacency matrix and the diagonal degree mat…
Exploring new upper and lower bounds for the -energy of graphs
Mainak Basunia, Pratima Panigrahi
Let be a graph on vertices and edges. For , the -matrix of is defined as , where is the adjacency matrix…
Characterizing tricyclic graphs with pendant vertices having largest -spectral radius
Mainak Basunia, Pratima Panigrahi
For a graph with adjacency matrix and degree diagonal matrix , the -matrix of is defined as \begin{equation*} A_α(G) = αD(G) + (1- α) A(G), \text{ for…
A method to optimize antipodal coloring span of graphs and its application
Kush Kumar, Pratima Panigrahi
In this article, we study radio \(k\)-colorings of simple connected graphs \(G\) with diameter \(d\), where a radio \(k\)-coloring \(g\) assigns non-negative integers to \(V(G)\) (…
A new generalization of Fielder's lemma with applications
Komal Kumari, Pratima Panigrahi
Very recently Ma and Wu \cite{wu2024generalization} obtained a generalization of Fielder's lemma and applied to find adjacency, Laplacian, and signless Laplacian spectra of …