5 papers
Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes
Huan-Zhi Zhang, Yi-Min Song, Yi-Zheng Fan
Let be an -dimensional simplicial complex. We prove that the spectrum of its -dimensional up-Laplacian is majorized by the conjugate degree sequence of its $(r - 1)…
Signless Laplacian Spectral Radius and Link Homology of Simplicial Complexes
Yi-Zheng Fan, Huan-Zhi Zhang
In this paper, we study the signless Laplacian spectral radius of pure simplicial complexes under local homological restrictions on links. Let be a pure -dimensional complex…
Upper Bounds for the Largest Laplacian Eigenvalue of Simplicial Complexes
Huan-Zhi Zhang, Yi-Zheng Fan
Let be a finite -dimensional simplicial complex with vertex set of size . We study the largest eigenvalue of the combinatorial -up Laplacian $L^{\operatorname{…
Signless Laplacian spectral radius of simplicial complexes without -dimensional wheels
Huan-Zhi Zhang, Yi-Zheng Fan
An -dimensional wheel is defined as the join of an -simplex and a cycle. In this paper, we study the maximum signless Laplacian spectral radius of -vertex -dimensio…
Signless Laplacian spectral radius of simplicial complexes without holes
Yi-Zheng Fan, Chuan-Ming She, Huan-Zhi Zhang
We study a spectral analog of the Turán problem for simplicial complexes. Specifically, we consider the extremal problem of maximizing the signless Laplacian spectral radius among…