Peer Abdul Manan

collaborators

3 papers

math.CO2026

On singular values and trace norm of signed digraphs

Mushtaq A. Bhat, Peer Abdul Manan

Let $S = (D, I ¨ )$ be a signed digraph, where $D = (V, A)$ is the underlying digraph of $S$ and $I ¨ : A \to {- 1, + 1}$ is a sign function. In this pap…

math.CO2026

On digraphs determined by their singular values

Mushtaq A. Bhat, Peer Abdul Manan

Let $D$ be an digraph of order $n$ with adjacency matrix $A (D)$ and outdegree matrix $I^^{+} = I^^{+} (D)$ . Then the Laplacian and signless Laplacian matrices of $D$ are respectively defi…

math.CO2024

Variation in $I^\pm$ trace norm of a digraph by deletion of a vertex or an arc and its applications

Mushtaq A. Bhat, Peer Abdul Manan

Let $D$ be a digraph of order $n$ with adjacency matrix $A (D)$ . For $I^\pm \in [0, 1)$ , the $A_{I^} \pm$ matrix of $D$ is defined as $A_{I^} \pm (D) = I^\pm I^^{+} (D) + (1 - I^\pm) A (D)$ , where $Î^{+}(D)=\mbox{di…

On singular values and trace norm of signed digraphs

On digraphs determined by their singular values

Variation in I^± trace norm of a digraph by deletion of a vertex or an arc and its applications

Variation in $I^\pm$ trace norm of a digraph by deletion of a vertex or an arc and its applications