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

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5 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…

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.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…