NDLI: The regularity lemma and approximation schemes for dense problems

Content Provider	IEEE Xplore Digital Library
Author	Frieze, A. Kannan, R.
Copyright Year	1996
Description	Author affiliation: Dept. of Math. Sci., Carnegie Mellon Univ., Pittsburgh, PA, USA (Frieze, A.)
Abstract	There are two main contributions of the present paper. In the first, we use the constructive version of the Regularity Lemma to give directly simple polynomial time approximation schemes for several graph "subdivision" problems in dense graphs including the Max Cut problem, the Graph Bisection problem, the Min l-way cut problem and Graph Separator problem. Arora, Karger and Karpinski (1992) gave the first PTASs for these problems whose running time is O(n/sup o(1/e2)/). Our PTASs have running time where the exponent of n is a constant independent of e. The central point here is that the Regularity Lemma provides an explanation of why these Max-SNP hard problems turn out to be easy in dense graphs. We also give a simple PTAS for dense versions of a special case of the Quadratic Assignment Problem (QAP).
Starting Page	12
Ending Page	20
File Size	675853
Page Count	9
File Format	PDF
ISBN	0818675942
ISSN	02725428
DOI	10.1109/SFCS.1996.548459
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-10-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Mirrors Particle separators Computer science Partitioning algorithms
Content Type	Text
Resource Type	Article

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The regularity lemma and approximation schemes for dense problems