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Incidence structures of type ( p , n )

František Machala — 2003

Czechoslovak Mathematical Journal

Every incidence structure 𝒥 (understood as a triple of sets ( G , M , I ) , I G × M ) admits for every positive integer p an incidence structure 𝒥 p = ( G p , M p , I p ) where G p ( M p ) consists of all independent p -element subsets in G ( M ) and I p is determined by some bijections. In the paper such incidence structures 𝒥 are investigated the 𝒥 p ’s of which have their incidence graphs of the simple join form. Some concrete illustrations are included with small sets G and M .

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