Peer Abdul Manan

collaborators

4 papers

math.CO2026

On singular values and trace norm of signed digraphs

Mushtaq A. Bhat, Peer Abdul Manan

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

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 $Δ^{+} = Δ^{+} (D)$ . Then the Laplacian and signless Laplacian matrices of $D$ are respectively define…

math.CO2024

Variation in $α$ 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 $α \in [0, 1)$ , the $A_{α}$ matrix of $D$ is defined as $A_{α} (D) = α Δ^{+} (D) + (1 - α) A (D)$ , where $Δ^{+}(D)=\mbox{diag}~(d_…

math.CO2024

Bounds for the trace norm of $A_{α}$ matrix of digraphs

Mushtaq A. Bhat, Peer Abdul Manan

On singular values and trace norm of signed digraphs

On digraphs determined by their singular values

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

Bounds for the trace norm of Aα​ matrix of digraphs

Variation in $α$ trace norm of a digraph by deletion of a vertex or an arc and its applications

Bounds for the trace norm of $A_{α}$ matrix of digraphs