Conforti, M, Cornuejols, G and Vuskovic, K (2006) Balanced matrices. Discrete Applied Mathematics, 306 (19-20). 2411 - 2437 . ISSN 0166-218X
Abstract
A 0,±1 matrix is balanced if, in every submatrix with two nonzero entries per row and column, the sum of the entries is a multiple of 4. This definition was introduced by Truemper and generalizes the notion of balanced 0,1 matrix introduced by Berge. In this tutorial, we survey what is currently known about these matrices: polyhedral results, combinatorial and structural theorems, and recognition algorithms.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2006, Elsevier. This is an author produced version of a paper published in Discrete Applied Mathematics. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 21 Jun 2012 14:51 |
Last Modified: | 01 Nov 2016 21:54 |
Published Version: | http://dx.doi.org/10.1016/j.disc.2005.12.033 |
Status: | Published |
Publisher: | Elsevier for North-Holland Publishing |
Identification Number: | 10.1016/j.disc.2005.12.033 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:74351 |