Sciweavers

14 search results - page 2 / 3
» Regular Partitions of Hypergraphs: Regularity Lemmas
Sort
View
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
JCT
2011
101views more  JCT 2011»
13 years 8 days ago
Almost all triple systems with independent neighborhoods are semi-bipartite
The neighborhood of a pair of vertices u, v in a triple system is the set of vertices w such that uvw is an edge. A triple system H is semi-bipartite if its vertex set contains a ...
József Balogh, Dhruv Mubayi
APAL
2010
93views more  APAL 2010»
13 years 5 months ago
Edge distribution and density in the characteristic sequence
The characteristic sequence of hypergraphs Pn : n < associated to a formula (x; y), introduced in [5], is defined by Pn(y1, . . . yn) = (x) in (x; yi). We continue the study o...
M. E. Malliaris
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...
RSA
2010
89views more  RSA 2010»
13 years 3 months ago
Ramsey properties of random discrete structures
We study thresholds for Ramsey properties of random discrete structures. In particular, we determine the threshold for Rado’s theorem for solutions of partition regular systems o...
Ehud Friedgut, Vojtech Rödl, Mathias Schacht