Yi-Min Song

activity

20232026

most citedThe largest normalized Laplacian eigenvalue and incidence balancedness of simplicial complexes

1 citations · 1 across the 8 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.CO2026

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes

Huan-Zhi Zhang, Yi-Min Song, Yi-Zheng Fan

Let $K$ be an $r$ -dimensional simplicial complex. We prove that the spectrum of its $(r - 1)$ -dimensional up-Laplacian is majorized by the conjugate degree sequence of its $(r - 1)…

math.CO2026

Maximizing the signless Laplacian spectral radius of simplicial 2-complexes with a prescribed second Betti number

Chuan-Ming She, Yi-Zheng Fan, Yi-Min Song

We study how a prescribed second Betti number constrains the largest eigenvalue of the signless Laplacian on edges of a pure two-dimensional simplicial complex. For each fixed posi…