Chen-Hui Lv

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20242026

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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.

math.CO2024

Bounding the parameter $β$ of a distance-regular graph with classical parameters

Chenhui Lv, Jack H. Koolen

Let $Γ$ be a distance-regular graph with classical parameters $(D, b, α, β)$ satisfying $b \geq 2$ and $D \geq 3$ . Let $r = 1 + b + b^{2} + \dots + b^{D - 1}$ . In 1999, K. Metsch showed that ther…

A characterization of the Grassmann graphs: one missing case

Bounding the parameter β of a distance-regular graph with classical parameters

Bounding the parameter $β$ of a distance-regular graph with classical parameters