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
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