M. Kannan

activity

20172021

collaborators

14 papers

math.CO2021

Eccentricity energy change of complete multipartite graphs due to edge deletion

Iswar Mahato, M. Rajesh Kannan

The eccentricity matrix $ε (G)$ of a graph $G$ is obtained from the distance matrix of $G$ by retaining the largest distances in each row and each column, and leaving zero…

math.CO2021

Bounds for the extremal eigenvalues of gain Laplacian matrices

M. Rajesh Kannan, Navish Kumar, Shivaramakrishna Pragada

A complex unit gain graph ( $T$ -gain graph), $Φ = (G, φ)$ is a graph where the function $φ$ assigns a unit complex number to each orientation of an edge of $G$ , and its inve…

math.CO2021

Gain distance matrices for complex unit gain graphs

Aniruddha Samanta, M. Rajesh Kannan

A complex unit gain graph ( $T$ -gain graph), $Φ = (G, φ)$ is a graph where the function $φ$ assigns a unit complex number to each orientation of an edge of $G$ , and it…

math.CO2021

On the multiplicity of $A α$ -eigenvalues and the rank of complex unit gain graphs

Aniruddha Samanta, M. Rajesh Kannan

Let $Φ = (G, φ)$ be a connected complex unit gain graph ( $T$ -gain graph) on a simple graph $G$ with $n$ vertices and maximum vertex degree $Δ$ . The associated adjac…

math.RA2020

Interval hulls of $N$ -matrices and almost $P$ -matrices

Projesh Nath Choudhury, M. Rajesh Kannan

We establish a characterization of almost $P$ -matrices via a sign non-reversal property. In this we are inspired by the analogous results for $N$ -matrices. Next, the interval hull…

math.CO2020

On the $A_{α}$ -spectra of some join graphs

Mainak Basunia, Iswar Mahato, M. Rajesh Kannan

Let $G$ be a simple, connected graph and let $A (G)$ be the adjacency matrix of $G$ . If $D (G)$ is the diagonal matrix of the vertex degrees of $G$ , then for every real $α \in [0, 1]$ ,…

Eccentricity energy change of complete multipartite graphs due to edge deletion

Bounds for the extremal eigenvalues of gain Laplacian matrices

Gain distance matrices for complex unit gain graphs

On the multiplicity of Aα-eigenvalues and the rank of complex unit gain graphs

Interval hulls of N-matrices and almost P-matrices

On the Aα​-spectra of some join graphs

On the multiplicity of $A α$ -eigenvalues and the rank of complex unit gain graphs

Interval hulls of $N$ -matrices and almost $P$ -matrices

On the $A_{α}$ -spectra of some join graphs