On balanced characteristic functions of canonical cliques in Paley graphs of square order
Abstract
In this paper we prove that balanced characteristic functions of canonical cliques in a Paley graph of square order P(q2) span the -1+q2-eigenspace of the graph. This is the first of two steps to a second proof of the analogue of Erd\"os-Ko-Rado theorem for Paley graphs of square order (the first proof was given by A. Blokhuis in 1984).
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