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» Regularity Lemmas and Combinatorial Algorithms
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COCO
2010
Springer
144views Algorithms» more  COCO 2010»
13 years 9 months ago
A Regularity Lemma, and Low-Weight Approximators, for Low-Degree Polynomial Threshold Functions
We give a “regularity lemma” for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1, 1}n . Roughly speaking, this result shows that every degree-d PTF ...
Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan...
COCOON
2007
Springer
13 years 11 months ago
Can a Graph Have Distinct Regular Partitions?
The regularity lemma of Szemer´edi gives a concise approximate description of a graph via a so called regular-partition of its vertex set. In this paper we address the following ...
Noga Alon, Asaf Shapira, Uri Stav
DAM
2007
79views more  DAM 2007»
13 years 5 months ago
Recognizing splicing languages: Syntactic monoids and simultaneous pumping
We use syntactic monoid methods, together with an enhanced pumping lemma, to investigate the structure of splicing languages. We obtain an algorithm for deciding whether a regular...
Elizabeth Goode, Dennis Pixton
ICALP
2007
Springer
13 years 11 months ago
Quasi-randomness and Algorithmic Regularity for Graphs with General Degree Distributions
Abstract. We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to measure how much a given graph...
Noga Alon, Amin Coja-Oghlan, Hiêp Hàn...
CORR
2006
Springer
105views Education» more  CORR 2006»
13 years 5 months ago
A Combinatorial Family of Near Regular LDPC Codes
Abstract-- An elementary combinatorial Tanner graph construction for a family of near-regular low density parity check (LDPC) codes achieving high girth is presented. These codes a...
K. Murali Krishnan, Rajdeep Singh, L. Sunil Chandr...