Given an integer m n matrix A and an integer m-vector b, the 0-1 integer-programming problem

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Given an integer m × n matrix A and an integer m-vector b, the 0-1 integer-programming problem asks whether there exists an integer n-vector x with elements in the set {0, 1} such that Ax ≤ b. Prove that 0-1 integer programming is NP-complete. 

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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