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math.CO2021
Self-converse mixed graphs are extremely rare
Pepijn Wissing
A mixed graph is cospectral to its converse, with respect to the usual adjacency matrices. Hence, it is easy to see that a mixed graph whose eigenvalues occur uniquely, up to isomo…
math.CO2021★ 1 cited
Unit gain graphs with two distinct eigenvalue and systems of lines in complex space
Pepijn Wissing, Edwin R. van Dam
Since the introduction of the Hermitian adjacency matrix for digraphs, interest in so-called complex unit gain graphs has surged. In this work, we consider gain graphs whose spectr…