Coja-Oghlan, Amin, Cooper, Colin and Frieze, Alan (2009) An efficient sparse regularity concept. In: SODA08 19th ACM-SIAM Symposium on Discrete Algorithms, San Francisco, CA, USA, 20-22 Jan 2008. Published in: SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms pp. 207-216. doi:10.1137/080730160

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Abstract

Let A be a 0/1 matrix of size m x n, and let p be the density of A (i.e., the number of ones divided by m · n). We show that A can be approximated in the cut norm within ε · mnp by a sum of cut matrices (of rank 1), where the number of summands is independent of the size m · n of A, provided that A satisfies a certain boundedness condition. The decomposition can be computed in polynomial time. This result extends the work of Frieze and Kannan (Combinatorica 1999) to sparse matrices. As an application, we obtain efficient 1 - ε approximation algorithms for "bounded" instances of Max CSP problems.

Item Type:	Conference Item (Paper)
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title:	SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Publisher:	SIAM
Official Date:	2009
Dates:	Date Event 2009 Published
Page Range:	pp. 207-216
DOI:	10.1137/080730160
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Conference Paper Type:	Paper
Title of Event:	SODA08 19th ACM-SIAM Symposium on Discrete Algorithms
Type of Event:	Conference
Location of Event:	San Francisco, CA, USA
Date(s) of Event:	20-22 Jan 2008

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