Chenhui Lv

activity

20242026

collaborators

4 papers

math.CO2026

On the characterization of geometric distance-regular graphs

Chenhui Lv, Jack H. Koolen

In 2010, Koolen and Bang proposed the following conjecture: For a fixed integer $m \geq 2$ , any geometric distance-regular graph with smallest eigenvalue $- m$ , diameter $D \geq 3$ …

math.CO2025

An improved bound for strongly regular graphs with smallest eigenvalue $- m$

Jack Koolen, Chenhui Lv, Greg Markowsky +1

In 1979, Neumaier gave a bound on $λ$ in terms of $m$ and $μ$ , where $- m$ is the smallest eigenvalue of a primitive strongly regular graph, unless the graph in question belongs to…

math.CO2025

A Bose-Laskar-Hoffman theory for $μ$ -bounded graphs with fixed smallest eigenvalue

Jack H. Koolen, Hong-Jun Ge, Chenhui Lv +1

In 2018, by Ramsey and Hoffman theory, Koolen, Yang, and Yang presented a structural result on graphs with smallest eigenvalue at least $- 3$ and large minimum degree. In this study…

math.CO2024

A characterization of the Grassmann graphs: one missing case

Jack H. Koolen, Chenhui Lv, Alexander L. Gavrilyuk

We prove that the Grassmann graphs $J_{2} (2 D + 3, D)$ , $D \geq 3$ , are characterized by their intersection numbers, which settles one of the few remaining cases.

On the characterization of geometric distance-regular graphs

An improved bound for strongly regular graphs with smallest eigenvalue −m

A Bose-Laskar-Hoffman theory for μ-bounded graphs with fixed smallest eigenvalue

A characterization of the Grassmann graphs: one missing case

An improved bound for strongly regular graphs with smallest eigenvalue $- m$

A Bose-Laskar-Hoffman theory for $μ$ -bounded graphs with fixed smallest eigenvalue