# Packing of (0, 1)-matrices

RAIRO - Theoretical Informatics and Applications (2006)

- Volume: 40, Issue: 4, page 519-535
- ISSN: 0988-3754

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topVialette, Stéphane. "Packing of (0, 1)-matrices." RAIRO - Theoretical Informatics and Applications 40.4 (2006): 519-535. <http://eudml.org/doc/249712>.

@article{Vialette2006,

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.
},

author = {Vialette, Stéphane},

journal = {RAIRO - Theoretical Informatics and Applications},

keywords = {NP-hardness; (0,1)-matrix.},

language = {eng},

month = {11},

number = {4},

pages = {519-535},

publisher = {EDP Sciences},

title = {Packing of (0, 1)-matrices},

url = {http://eudml.org/doc/249712},

volume = {40},

year = {2006},

}

TY - JOUR

AU - Vialette, Stéphane

TI - Packing of (0, 1)-matrices

JO - RAIRO - Theoretical Informatics and Applications

DA - 2006/11//

PB - EDP Sciences

VL - 40

IS - 4

SP - 519

EP - 535

AB -
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.

LA - eng

KW - NP-hardness; (0,1)-matrix.

UR - http://eudml.org/doc/249712

ER -

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