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New Zealand Mathematics Colloquium 2001
December 3-6, 2001
Massey University
Palmerston North, New Zealand

Organizers
Dr I. Boglaev, Dr M. Carter, Dr J. Hudson, Dr C. Little (convenor), Ass. Prof R. McLachlan, Ass. Prof C. Lai

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On the graphs of McKay-Miller-Sirán
by
Paul R. Hafner
Department of Mathematics, University of Auckland

McKay, Miller and Sirán used a voltage graph construction to introduce three families of graphs of order 2q2, where q is a prime power congruent to 1, 0, or -1 mod 4.

These graphs have diameter 2 and some of the largest known graphs of diameter 2 and given degree come from these families (the Hoffman-Singleton graph is one of them).

We provide an alternative description of these graphs as modified incidence graph of a (bi)affine plane. This will lead to a complete determination of their automorphism groups.

http://www.math.auckland.ac.nz/~hafner/hos.ps

Date received: September 19, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahf-10.