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On extremal spectral radius of blow-up uniform hypergraphs
Shao-Han Xu, Fu-Tao Hu, Yi Wang
Let be an -uniform hypergraph of order and is the spectral radius of , where is the adjacency tensor of . A blow-up of res…
Spanning trees in graphs without large bipartite holes
Jie Han, Jie Hu, Lidan Ping +3
We show that for any and , there exists such that for sufficiently large , every -vertex graph satisfying that $δ(G)\geq\varepsilon…
On integral variations for roots of the Laplacian matching polynomial of graphs
Yi Wang, Hai-Jian Cui, Sebastian M. Cioabă
In this paper, we study the Laplacian matching polynomial of a graph and the effect of adding edges to a graph on the roots (called Laplacian matching roots) of this polynomial. In…
Positivity problem of three-term recurrence sequences
Yanni Pei, Yaling Wang, Yi Wang
We present some necessary and/or sufficient conditions for the positivity problem of three-term recurrence sequences. As applications we show the positivity of diagonal Taylor coef…
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.…
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…