Vol. 12, No. 1, 2011

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The twisted Grassmann graph is the block graph of a design

Akihiro Munemasa and Vladimir D. Tonchev

Vol. 12 (2011), No. 1, 1–6
Abstract

In this note, we show that the twisted Grassmann graph constructed by Van Dam and Koolen is the block graph of the design constructed by Jungnickel and Tonchev. We also show that the full automorphism group of the design is isomorphic to the full automorphism group that of the twisted Grassmann graph.

Milestones
Received: 13 July 2009
Accepted: 3 September 2009
Authors
Akihiro Munemasa
Vladimir D. Tonchev
Mathematical Sciences
Michigan Technological University
1400 Townsend Drive
Houghton, MI 49931-1295
United States