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arxiv: 0809.2879 · v2 · submitted 2008-09-17 · 🧮 math.CO · math.DS

An analogue of the Szemeredi Regularity Lemma for bounded degree graphs

classification 🧮 math.CO math.DS
keywords boundeddegreeanalogueclassicaldecomposeddecompositionergodicfarrell-varadarajan
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We show that a sufficiently large graph of bounded degree can be decomposed into quasi-homogeneous pieces. The result can be viewed as a "finitarization" of the classical Farrell-Varadarajan Ergodic Decomposition Theorem.

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