10 citations · 21 across the 14 of their papers we have counts for
17 papers
Energy of signed graphs and the vertex cover number
Aniruddha Samanta, Deepshikha, Kinkar Chandra Das
The energy of a signed graph is the sum of the absolute values of the eigenvalues of its adjacency matrix . In this article, we prove that $\mathca…
Hoffman-type Results for the Sum of k Largest Eigenvalues of a Graph
Shaowei Sun, Mengyao Guo, Hongyan Ge +1
Let denote the sum of the largest eigenvalues of a graph . Motivated by the classical Hoffman program for the spectral radius of a graph, we investigate an additive…
Bounds on the Inverse symmetric division deg index and the relation with other topological indices of graphs
Kinkar Chandra Das, B. R. Rakshith, Wojciech Macek
Let be a simple graph. The concept of Inverse symmetric division deg index was introduced in the chemical graph theory very recently. In spite of this, a few pap…
Unifying adjacency, Laplacian, and signless Laplacian theories
Aniruddha Samanta, Deepshikha, Kinkar Chandra Das
Let be a simple graph with associated diagonal matrix of vertex degrees , adjacency matrix , Laplacian matrix and signless Laplacian matrix . Recently,…
On Energy of Graphs with Self-Loops
B. R. Rakshith, Kinkar Chandra Das, B. J. Manjunatha
Let G be a simple graph on n vertices with vertex set V(G). The energy of G, denoted by, is the sum of all absolute values of the eigenvalues of the adjacency matr…
Common neighborhood energies and their relations with Zagreb index
Firdous Ee Jannat, Rajat Kanti Nath, Kinkar Chandra Das
In this paper we establish connections between common neighborhood Laplacian and common neighborhood signless Laplacian energies and the first Zagreb index of a graph …