The Odd and Even Intersection Properties

نویسنده

  • Victor Scharaschkin
چکیده

A non-empty family S of subsets of a finite set A has the odd (respectively, even) intersection property if there exists non-empty B ⊆ A with |B∩S| odd (respectively, even) for each S ∈ S. In characterizing sets of integers that are quadratic nonresidues modulo infinitely many primes, Wright asked for the number of such S, as a function of |A|. We give explicit formulae.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2011