Heng Zhang

activity

20242026

most citedRicci curvature, diameter and eigenvalues of amply regular graphs

1 citations · 1 across the 10 of their papers we have counts for

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math.CO2026

On Lichnerowicz sharp distance-regular graphs

Kaizhe Chen, Shiping Liu, Heng Zhang

The first non-zero Laplacian eigenvalue $λ_{1}$ of a finite graph is bounded below by its minimum Lin--Lu--Yau curvature $κ$ . This is a discrete analogue of the classical Lichnerowic…

math.CO2025

Monotonic normalized heat diffusion for distance-regular graphs with classical parameters of diameter $3$

Shiping Liu, Heng Zhang

We prove the monotonic normalized heat diffusion property on distance-regular graphs with classical parameters of diameter $3$ . Regev and Shinkar found a Cayley graph for which thi…

math.CO2024

Curvature and local matchings of conference graphs and extensions

Kaizhe Chen, Shiping Liu, Heng Zhang

We prove a conjecture of Bonini et al. on the precise values of the Lin--Lu--Yau curvature of conference graphs, i.e., strongly regular graphs with parameters $(4 γ + 1, 2 γ, γ - 1, γ)$ . Ou…

On Lichnerowicz sharp distance-regular graphs

Monotonic normalized heat diffusion for distance-regular graphs with classical parameters of diameter 3

Curvature and local matchings of conference graphs and extensions

Monotonic normalized heat diffusion for distance-regular graphs with classical parameters of diameter $3$