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Reconstructing a Generalized Quadrangle from its Distance Two Association Scheme
Authors:Sylvia A Hobart  Stanley E Payne
Institution:(1) Department of Mathematics, University of Wyoming, Laramie, WY, 82071;(2) Department of Mathematics, University of Colorado at Denver, Campus Box 170, P.O. Box 173364, Denver, CO, 80217-3364
Abstract:Payne 4] constructed an association scheme from a generalized quadrangle with a quasiregular point. We show that an association scheme with appropriate parameters and satisfying an assumption about maximal cliques must be one of these schemes arising from a generalized quadrangle.
Keywords:association scheme  generalized quadrangle  quasiregular point
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