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Document type:
Zeitschriftenaufsatz
Author(s):
Brunetti, S.; A. Del Lungo, P. Gritzmann and S. de Vries
Title:
On the reconstruction of binary and permutation matrices under (binary) tomographic constraints
Abstract:
The paper studies the problem of reconstructing binary matrices constrained by binary tomographic information. We prove new NP-hardness results that sharpen previous complexity results in the realm of discrete tomography but also allow applications to related problems for permutation matrices. Hence our results can be interpreted in terms of other combinatorial problems including the queens’ problem.
Keywords:
Combinatorics, Discrete tomography, Queens’ problem, Bipartite matching, Contingency table, Binary matrix, Permutation, Computational complexity, NP-hardness
Journal title:
Theoretical Computer Science
Year:
2008
Journal issue:
406
Pages contribution:
63-71
Reviewed:
ja
Language:
en
TUM Institution:
Lehrstuhl für Angewandte Geometrie und Diskrete Mathematik
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