3 papers
math.CO2024
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…
math.CO2022
Distance spectra of some double join of graphs and some new families of distance equienergetic graphs
Rakshith B. R., B. J. Manjunatha
In this paper we compute the spectrum of a special block matrix and use it to describe the distance spectra of some double join of graphs. As an application, we give several famili…
math.CO2022
Reciprocal distance energy of complete multipartite graphs
Rakshith B. R., B. J. Manjunatha
In this paper, first we compute the energy of a special partitioned matrix under some cases. As a consequence, we obtain the reciprocal distance energy of the complete multipartite…