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» An Algorithmic Hypergraph Regularity Lemma
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APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
14 years 11 months ago
Santa Claus Meets Hypergraph Matchings
We consider the problem of max-min fair allocation of indivisible goods. Our focus will be on the restricted version of the problem in which there are m items, each of which assoc...
Arash Asadpour, Uriel Feige, Amin Saberi
ICALP
2007
Springer
15 years 3 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...
JCT
1998
193views more  JCT 1998»
14 years 9 months ago
Fractional Kernels in Digraphs
The aim of this note is to point out some combinatorial applications of a lemma of Scarf, proved first in the context of game theory. The usefulness of the lemma in combinatorics...
Ron Aharoni, Ron Holzman
KDD
2008
ACM
150views Data Mining» more  KDD 2008»
15 years 10 months ago
Hypergraph spectral learning for multi-label classification
A hypergraph is a generalization of the traditional graph in which the edges are arbitrary non-empty subsets of the vertex set. It has been applied successfully to capture highord...
Liang Sun, Shuiwang Ji, Jieping Ye
STOC
2006
ACM
168views Algorithms» more  STOC 2006»
15 years 10 months ago
A combinatorial characterization of the testable graph properties: it's all about regularity
A common thread in all the recent results concerning the testing of dense graphs is the use of Szemer?edi's regularity lemma. In this paper we show that in some sense this is...
Noga Alon, Eldar Fischer, Ilan Newman, Asaf Shapir...