Yi-Min Song

collaborators

3 papers

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

Spectral radius of $2$ -dimensional simplicial complexes with given Betti number

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

In this paper we establish an asymptotic formula for the signless Laplacian spectral radius of a $2$ -dimensional simplicial complex with given $2$ -th Betti number. Furthermore, we…

math.GT2025

Counting components of moduli space of HCMU spheres via weighted trees

Yi Song

HCMU surfaces are compact Riemann surfaces equipped with the Calabi extremal Kähler metric and a finite number of singularities. By using both the classical football decomposition…

Degree Majorization and Laplacian Eigenvalue Sums for Simplicial Complexes

Spectral radius of 2-dimensional simplicial complexes with given Betti number

Counting components of moduli space of HCMU spheres via weighted trees

Spectral radius of $2$ -dimensional simplicial complexes with given Betti number