A characterization of the Grassmann graphs
Building on other people's work Metsch showed in the 1990's that the Grassmann graph \(Jq(n, D)\) is characterized as a distance-regular graph when \(n \geq 2D + 2 + \max(4-q, 0)\) and \(D \geq 3\). Van Dam and Koolen constructed the twisted Grassmann graph with the same intersection numbers as the Grassmann graph \(Jq(2D+1,D)\).
In this talk we will show that \(J_q(2D, D)\) is characterized as a distance-regular graph if \(D\) is large enough.
This is joint work with Alexander Gavrilyuk.
Other information: This talk will be broadcast online using Zoom conferencing system. Join from PC, Mac, iOS or Android: https://unimelb.zoom.us/j/491311151
Professor Jack Koolen, University of Science and Technology of China