A Characterization for Sparse $\varepsilon$-Regular Pairs
نویسندگان
چکیده
منابع مشابه
A characterization for sparse ε-regular pairs
We are interested in (ε)-regular bipartite graphs which are the central objects in the regularity lemma of Szemerédi for sparse graphs. A bipartite graph G = (A]B,E) with density p = |E|/(|A||B|) is (ε)-regular if for all sets A′ ⊆ A and B′ ⊆ B of size |A′| ≥ ε|A| and |B ′| ≥ ε|B|, it holds that |eG(A, B′)/(|A′||B′|) − p| ≤ εp. In this paper we prove a characterization for (ε)-regularity. That ...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2007
ISSN: 1077-8926
DOI: 10.37236/923