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math.CO2026
A New Sufficient Condition for Oriented Graphs Determined by Their Generalized Skew Spectra
Limeng Lin, Wei Wang, Hao Zhang
Characterizing graphs uniquely determined by their spectra (DS) is a core open problem in spectral graph theory. While this problem has been extensively investigated for simple und…
math.CO2026
Nearly permanental cospectral graphs
Weifang Lv, Quanyu Tang, Wei Wang +1
Let be a simple graph of order with adjacency matrix . The \emph{determinant} and the \emph{permanen}t of the matrix are defined as \[\mathrm{det}A= \sum_{…