activity
20182026
most citedEigenvectors of Laplacian or signless Laplacian of Hypergraphs Associated with Zero Eigenvalue

11 citations · 15 across the 12 of their papers we have counts for

collaborators

12 papers

math.CO2026

An Erdős--Ko--Rado theorem for cross-intersecting families in the Euclidean inner product

Jiang-Chao Wan, Yi Wang

Let be the set of all -element subsets of the set and let be two cross-intersecting families,…

math.CO2026

A solution to Csikvári's conjecture and the largest matching root of -graphs

Jiang-Chao Wan, Yi Wang

In 2011, Csikvári [Electron. J. Combin. {\bf 18} (2011), P182] proved that among all graphs with a prescribed number of edges, the largest matching root is attained by a thresh…

math.CO2026

Perturbation of the largest matching root of hypergraphs

Jiang-Chao Wan, Yi Wang

The largest matching root of a -graph is the largest real root of its matching polynomial, which is equal to the maximum modulus of all the zeros of the matching polynomial. In…

math.CO2024

Subdivision method in the Laplacian matching polynomial

Jiang-Chao Wan, Yi Wang, Zhi-Yuan Wang

As a bridge connecting the matching polynomial and the Laplacian matching polynomial of graphs, the subdivision method is expected to be useful for investigating the Laplacian matc…

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…

math.CO2021★ 2 cited

The spectral property of hypergraph coverings

Yi-Min Song, Yi-Zheng Fan, Yi Wang +2

Let be a connected -uniform hypergraph, and let be the adjacency tensor of whose spectrum is simply called the spectrum of . Let denote the nu…

math.CO2021

On the location of zeros of the Laplacian matching polynomials of graphs

Jiang-Chao Wan, Yi Wang, Ali Mohammadian

The Laplacian matching polynomial of a graph , denoted by , is a new graph polynomial whose all roots are nonnegative real numbers. In this pap…

math.CO2020

Minimal non-odd-transversal hypergraphs and minimal non-odd-bipartite hypergraphs

Yi-Zheng Fan, Yi Wang, Jiang-Chao Wan

Among all uniform hypergraphs with even uniformity, the odd-transversal or odd-bipartite hypergraphs are more close to bipartite simple graphs from the viewpoint of both structure…

math.CO2020★ 1 cited

The linear unicyclic hypergraph with the second or third largest spectral radius

Chao Ding, Yi-Zheng Fan, Jiang-Chao Wan

The spectral radius of a uniform hypergraph is defined to be that of the adjacency tensor the hypergraph. It is known that the unique unicyclic hypergraph with the largest spectral…

math.CO2019★ 1 cited

The least H-eigenvalue of signless Laplacian of non-odd-bipartite hypergraphs

Yi-Zheng Fan, Jiang-Chao Wan, Yi Wang

Let be a connected non-odd-bipartite hypergraph with even uniformity. The least H-eigenvalue of the signless Laplacian tensor of is simply called the least eigenvalue of $G…

math.CO2018★ 11 cited

Eigenvectors of Laplacian or signless Laplacian of Hypergraphs Associated with Zero Eigenvalue

Yi-Zheng Fan, Yi Wang, Yan-Hong Bao +3

Let be a connected -uniform hypergraph. In this paper we mainly consider the eigenvectors of the Laplacian or signless Laplacian tensor of associated with zero eigenvalu…