Algebraic Graph Theory - Xiaoye Liang

Title: Thin distance-regular graphs with classical parameters $(D,q,q,\frac{q^{t}-1}{q-1}-1)$ with $t> D$ are the Grassmann graphs

Abstract: In the survey paper by Van Dam, Koolen and Tanaka (Distance-regular graphs, Electron. J. Comb., Dynamic Survey (2016), \#DS22), they asked to classify the thin $Q$-polynomial distance-regular graphs. In this talk, we will discuss our result which states that the Grassmann graphs with large diameter are characterized by their intersection numbers under the extra condition that they are thin.

This is joint work with Jack Koolen and Ying-Ying Tan.