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Packing of (0, 1)-matrices

Published online by Cambridge University Press:  08 November 2006

Stéphane Vialette
Stéphane Vialette*
Affiliation:
Laboratoire de Recherche en Informatique (LRI), UMR 8623, Bât. 490, Université Paris-Sud, 91405 Orsay Cedex, France; Stephane.vialette@lri.fr
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Abstract

The MATRIX PACKING DOWN problem asks to find a row permutation of a given (0,1)-matrix in such a way that the total sum of the first non-zero column indexes is maximized. We study the computational complexity of this problem. We prove that the MATRIX PACKING DOWN problem is NP-complete even when restricted to zero trace symmetric (0,1)-matrices or to (0,1)-matrices with at most two 1's per column. Also, as intermediate results, we introduce several new simple graph layout problems which are proved to be NP-complete.

Keywords

NP-hardness(0,1)-matrix.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 40 , Issue 4 , October 2006 , pp. 519 - 535
Copyright
© EDP Sciences, 2006

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