7 citations · 9 across the 4 of their papers we have counts for
6 papers
Some New Results on Seidel Equienergetic Graphs
Samir K. Vaidya, Kalpesh M. Popat
The energy of a graph is the sum of the absolute values of the eigenvalues of the adjacency matrix of . Some variants of energy can also be found in the literature which are…
Some New Results on Energy of Graphs with Self Loops
Kalpesh M. Popat, Kunal R. Shingala
The graph is obtained from graph by attaching self loops on vertices. The energy of the graph with order and eigenvalues $λ_1,λ_2,\dots,λ_n…
Locally Equienergetic Graphs
Cahit Dede, Kalpesh M. Popat
For a given graph \( G \), let \( G^{(j)} \) denote the graph obtained by the deletion of vertex \( v_j \) from \( G \). The difference \( \mathscr{E}(G) - \mathscr{E}(G^{(j)}) \)…
Graph Energies of Generalized and Shadow-Splitting Graphs
Ronak B. Dudhat, Vinodray J. Kaneria, Kalpesh M. Popat
We extend the notions of the m-splitting graph Sm(G) and the m-shadow graph Dm(G) to introduce two new graph operations: the (p, q)-generalized splitting graph Sp,q(G) and the (c,…
On the Vertex Seidel Energy of Graphs
Kalpesh M. Popat, Enide Andrade
We introduce the vertex Seidel energy via the diagonal entries of the absolute Seidel matrix. We establish a spectral formula, compute exact values for several graph families, deri…
Some new results on the Seidel energy of graphs with self-loops
Kalpesh M. Popat, Irena M. Jovanovic
Harshitha et al. recently introduced Seidel energy of graphs with self loops. In this paper, we extend some of their results by giving a necessary and sufficient condition for the…