2 Proof Sketch for Szemerédi Regularity
نویسنده
چکیده
• Generalization of bipartiteness testing: " general graph partition properties " (GGPT) • Testing-freeness via regularity: – Szemerédi Regularity Lemma (SRL) –-removal lemma (tester with query complexity O (1), with the dependence on is a tower of 1.2 Today • Quick sketch of the proof of SRL • 1 Ω(log 1) lower bound for 1-sided error testers for-freeness (ruling out poly(1)-query testers) • Bounded-degree graph property testing (model well-suited for sparse graphs): – adjacency list model – for constant maximum degree d, poly 1-query algorithm for testing con-nectivity.
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