Vol. 3, No. 1, 2006

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Some properties of the twisted Grassmann graphs

Tatsuya Fujisaki, Jack H. Koolen and Makoto Tagami

Vol. 3 (2006), No. 1, 81–87
Abstract

In this note we determine the full automorphism group of the twisted Grassmann graph. Further we show that twisted Grassmann graphs do not have antipodal distance-regular covers. At last, we show that the twisted Grassmann graphs are not the halved graphs of bipartite distance-regular graphs.

Keywords
automorphism group twisted Grassmann graph, antipodal covers, bipartite
Mathematical Subject Classification 2000
Primary: 05C25, 05E20, 05E30
Milestones
Received: 9 November 2005
Authors
Tatsuya Fujisaki
Jack H. Koolen
Makoto Tagami