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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

S. Parab

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Open access Jan 2024

Two Laplacians for the resistance distance matrix of a graph

In this paper, we study the resistance Laplacian and the resistance signless Laplacian matrix associated with a connected graph. We provide the general form of these matrices for various types of graphs, including complete graphs, complete bipartite graphs, and cycles. We investigate their spectral characteristics, det...

S. Parab, Raisa Dsouza · 1 citation
Preprint Aug 2026

On Spectra of $\mathbb{T}$-Gain Digraphs

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 graph types, such as signed graphs, mixed graphs, complex unit gain graphs, digraphs, and signed digraphs. The gain adjacency, Laplacian, and si...

S. Parab, Tarkeshwar Singh, M. Nagar · 0 citations

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