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math.CO2026
Constructions of almost controllable graphs determined by their generalized spectra
Wei Wang, Manjin Shi, Fenjin Liu
Identifying and constructing graphs that are determined by their generalized spectrum (DGS) is a significant and challenging problem in spectral graph theory. Recently, a simple cr…
math.CO2026
On spanning trees whose degrees are congruent to one modulo
Zhidan Yan, Wei Wang
An -congruent spanning tree of a nontrivial connected graph is a spanning tree in which every vertex has degree congruent to one modulo . This notion provides a common…