Integer program with bimodular matrix

نویسندگان

  • Sergey I. Veselov
  • A. J. Chirkov
چکیده

Let A be an m × n integral matrix of rank n. We say that A is bimodular if the maximum of the absolute values of the n×n minors is at most 2. We give a polynomial time algorithm that finds an integer solution for system Ax ≤ b. A polynomial time algorithm for integer program max{cx : Ax ≤ b} is constructed proceeding on some assumptions.

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عنوان ژورنال:
  • Discrete Optimization

دوره 6  شماره 

صفحات  -

تاریخ انتشار 2009