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

8 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

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…

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…

math.CO2024★ 1 cited

The largest normalized Laplacian eigenvalue and incidence balancedness of simplicial complexes

Yi-min Song, Hui-Feng Wu, Yi-Zheng Fan

Let $K$ be a simplicial complex, and let $Δ_{i}^{u p} (K)$ be the $i$ -th up normalized Laplacian of $K$ . Horak and Jost showed that the largest eigenvalue of $Δ_{i}^{u p} (K)$ is at most $…

math.AG2024

Parametrization of geometric Beilinson--Bloch heights via adelic line bundles

Yinchong Song

Let $S$ be a quasi-projective smooth variety over complex field $C$ . For a smooth projective morphism $π : X \to S$ , we will introduce a new height pairing \begin{align…

math.CO2023

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…

math.CO2023

Hypergraph coverings and Ramanujan Hypergraphs

Yi-Min Song, Yi-Zheng Fan, Zhengke Miao

In this paper we investigate Ramanujan hypergraphs by using hypergraph coverings. We first show that the spectrum of a $k$ -fold covering $H ˉ$ of a connected hypergraph $H$ con…

math.AG2023

Asymptotic Behavior of the Zhang--Kawazumi's phi-invariant

Yinchong Song

The phi-invariant was introduced by Shou-Wu Zhang and Nariya Kawazumi. We study the continuity property of the phi-invariants for degenerating graphs, and show that this continuity…