NOTE - Katona's Intersection Theorem: Four Proofs

نویسندگان

  • R. AHLSWEDE
  • L. H. KHACHATRIAN
چکیده

It is known from a previous paper [3] that Katona’s Intersection Theorem follows from the Complete Intersection Theorem by Ahlswede and Khachatrian via a Comparison Lemma. It also has been proved directly in [3] by the pushing–pulling method of that paper. Here we add a third proof via a new (k,k+1)-shifting technique, whose impact will be exploared elsewhere. The fourth and last of our proofs is a gift from heaven for Gyula’s birthday.

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تاریخ انتشار 2001