A Permutation Regularity Lemma
نویسندگان
چکیده
منابع مشابه
A Permutation Regularity Lemma
We introduce a permutation analogue of the celebrated Szemerédi Regularity Lemma, and derive a number of consequences. This tool allows us to provide a structural description of permutations which avoid a specified pattern, a result that permutations which scatter small intervals contain all possible patterns of a given size, a proof that every permutation avoiding a specified pattern has a nea...
متن کاملM ay 2 00 4 A Permutation Regularity Lemma
We introduce a permutation analogue of the celebrated Szemerédi Regularity Lemma, and derive a number of consequences. This tool allows us to provide a structural description of permutations which avoid a specified pattern, a result that permutations which scatter small intervals contain all possible patterns of a given size, a proof that every permutation avoiding a specified pattern has a nea...
متن کاملSzemerédi’s Regularity Lemma
Szemerédi’s Regularity Lemma is an important result in extremal graph theory. Roughly speaking, the lemma states that every graph can be approximated by random graphs; that is, the vertex set of every graph can be split into equal size subsets such that the distribution of the edges between almost any two of these subsets is pseudorandom. The Regularity Lemma has already proved to be a powerful...
متن کاملSzemerédi Regularity Lemma
Szemerédi’s Regularity Lemma is one of the few truly universal tools in modern combinatorics, with numerous important applications. In particular, this lemma is the cornerstone of the theory of convergent sequences of dense graphs launched recently by Lovász and Szegedy [15], Borgs, Chayes, Lovász, Sós and Vesztergombi [3], [4] and Borgs, Chayes and Lovász [5]. The germ of a similar theory for ...
متن کاملAn Abstract Regularity Lemma
We extend in a natural way Szemerédis Regularity Lemma to abstract measure spaces. 1 Introduction In this note we extend Szemerédis Regularity Lemma (SRL) to abstract measure spaces. Our main aim is to nd general conditions under which the original proof of Szemerédi still works. Another extension of SRL to probality spaces was proved by Tao [3], but his results do not imply our most general...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2006
ISSN: 1077-8926
DOI: 10.37236/1048