M. Bhat

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math.CO2024

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

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.CO2022

On adjacency and Laplacian cospectral non-isomorphic signed graphs

Tahir Shamsher, S. Pirzada, Mushtaq A. Bhat

Let $Γ = (G, σ)$ be a signed graph, where $σ$ is the sign function on the edges of $G$ . In this paper, we use the operation of partial transpose to obtain non-isomorphic Laplacian cos…

Bounds for the trace norm of Aα​ matrix of digraphs

On adjacency and Laplacian cospectral non-isomorphic signed graphs

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