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math.CO2022
A hypergraph Heilmann--Lieb theorem
Jiang-Chao Wan, Yi Wang, Yi-zheng Fan
The Heilmann--Lieb theorem is a fundamental theorem in algebraic combinatorics which provides a characterization of the distribution of the zeros of matching polynomials of graphs.…
math.CO2022
Spectra of weighted uniform hypertrees
Jiang-Chao Wan, Yi Wang, Fu-Tao Hu
Let be a -tree equipped with a weighting function $\w: V(T)\cup E(T)\rightarrow \C$, where . The weighted matching polynomial of the weighted -tree $(T,\w)$ is…