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math.CO2026
On Spectra of -Gain Digraphs
Shivani Tushar Parab, Tarkeshwar Singh, Mukesh Kumar Nagar
A \(\mathbb{T}\)-gain digraph is a directed graph with complex unit gains on its arcs, allowing for no restrictions on oppositely directed arcs. This framework unifies various grap…
math.CO2024
Two Laplacians for the resistance distance matrix of a graph
Shivani Tushar Parab, Raisa DSouza
In this paper, we present two new matrices, namely the resistance Laplacian and resistance signless Laplacian matrix of a connected graph. We provide a generalized form of these ma…