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» Regularity Lemmas and Combinatorial Algorithms
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94
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COCO
2010
Springer
144views Algorithms» more  COCO 2010»
15 years 3 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...
94
Voted
COCOON
2007
Springer
15 years 5 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»
14 years 11 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
116
Voted
ICALP
2007
Springer
15 years 5 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»
14 years 11 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...