6 papers
On spectrum of corona product of duplication signed graph and its application
Bishal Sonar, Ravi Srivastava
This paper introduces the concept of -signed and duplication signed graphs and shows that both are always structurally balanced. Using the duplication signed graph, we define t…
Bounds on Elliptic Sombor and Euler Sombor indices of join and corona product of graphs
Bishal Sonar, Ravi Srivastava
The Elliptic Somber and Euler Somber indices are newly defined topological indices based on the Somber index. Our paper presents calculations of the upper and lower bounds of these…
On the spectrum of closed neighborhood corona product of graph and its application
Bishal Sonar, Ravi Srivastava
In this paper, we investigate the spectral properties of the closed neighborhood corona product of graphs, which was introduced by Harishchandra S. Ramane et al.~\cite{ramane2021po…
On the strong geodeticity in the corona type product of graphs
Bishal Sonar, Satyam Guragain, Ravi Srivastava
The paper focuses on studying strong geodetic sets and numbers in the context of corona-type products of graphs. Our primary focus is on three variations of the corona products: th…
A graph product and its Application
Bishal Sonar, Ravi Srivastava
The spectrum of Laplacian and signless Laplacian matrix for a graph product is obtained, where both underlying graphs are regular. As an application of this, we have been able to g…
A signed graph product and its Application
Bishal Sonar, Ravi Srivastava
A signed graph product is defined for a new product, and initially the unsigned graph product's Laplacian spectrum and signless Laplacian spectrum are found. Next, for the signed g…