A polynomial recognition algorithm for balanced matrices

نویسنده

  • Giacomo Zambelli
چکیده

A 0,±1 matrix is balanced if it does not contain a square submatrix with two nonzero elements per row and column in which the sum of all entries is 2 modulo 4. Conforti, Cornuéjols and Rao [9], and Conforti, Cornuéjols, Kapoor and Vušković [6], provided a polynomial algorithm to test balancedness of a matrix. In this paper we present a simpler polynomial algorithm, based on techniques introduced by Chudnovsky and Seymour in [3] for Berge graphs.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. B

دوره 95  شماره 

صفحات  -

تاریخ انتشار 2005