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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 30, 1994 - Issue 3
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Original Articles

The complexity of finding the minimal of the maximum cycle means of similar zero-one matrices

Pages 283-287 | Published online: 20 Mar 2007
 

Abstract

Let A = (aij ) be a given zero-one matrix of order n and be a cyclic permutation of a subset of . We define , the mean weight of σ, as and λ(A) the maximum cycle mean of A, as . Matrices A,B are said be similar (abbr. AB) if one can be obtained from the other by permuting its rows and columns. We show the problem for a given matrix A to find is NP-complete.

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