RAIRO-Theor. Inf. Appl.
Volume 40, Number 4, October-December 2006
|Page(s)||519 - 535|
|Published online||08 November 2006|
Packing of (0, 1)-matrices
Laboratoire de Recherche en Informatique (LRI),
UMR 8623, Bât. 490, Université Paris-Sud,
91405 Orsay Cedex, France;
Accepted: June 2004
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.
Mathematics Subject Classification: 68Q17 / 68Q25
Key words: NP-hardness / (0,1)-matrix.
© EDP Sciences, 2006
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.