6 papers · 1 filter
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…
Helmholzian Spectra of Graphs: Novel Properties
Lu Lu, Yongtang Shi, Zoran StaniÄ +2
Let $\grad$, $\curl$, and $\dv$ be the graph-theoretic analogues of the gradient, curl, and divergence operators from multivariate calculus. The graph Laplacian $-\dv \grad$ gives…
On the Spread of Graph-Related Matrices
Lele Liu, Yi-Zheng Fan, Yi Wang +1
The spread of a real symmetric matrix is defined as the difference between its largest and smallest eigenvalue. The study of graph-related matrices has attracted considerable atten…
The spectra of Laplace operators on covering simplicial complexes
Yi-Zheng Fan, Yi-Min Song, Yi Wang
We give a decomposition of the Laplace operator (in matrix form) of a covering simplicial complex as a direct sum of several matrices, one of which is the Laplace operator of the b…
Spectral Methods for Matrix Product Factorization
Saieed Akbari, Yi-Zheng Fan, Fu-Tao Hu +2
A graph is factored into graphs and via a matrix product if there exist adjacency matrices , , and of , , and , respectively, such that . In…
The largest Laplacian eigenvalue and the balancedness of simplicial complexes
Yi-Zheng Fan, Hui-Feng Wu, Yi Wang
Let be a simplical complex, and let be the -th up Laplacian and signless Laplacian of , respectively. In this paper we prov…