3 papers
math.CO2021
On the Seidel spectrum of threshold graphs
Santanu Mandal, Ranjit Mehatari
In this paper, we analyse spectral properties of Seidel matrix (denoted by ) of connected threshold graphs. We compute the characteristic polynomial and determinant of Seidel ma…
math.CO2018
Eigenvalue bounds for some classes of matrices associated with graphs
Ranjit Mehatari, M. Rajesh Kannan
For a given complex square matrix with constant row sum, we establish two new eigenvalue inclusion sets. Using these bounds, first we derive bounds for the second largest and s…
math.CO2018
On the adjacency matrix of a complex unit gain graph
Ranjit Mehatari, M. Rajesh Kannan, Aniruddha Samanta
A complex unit gain graph is a simple graph in which each orientation of an edge is given a complex number with modulus 1 and its inverse is assigned to the opposite orientation of…