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arXiv · 0809.2879

An analogue of the Szemeredi Regularity Lemma for bounded degree graphs

Gábor Elek·Gábor Lippner
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Abstract

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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Gábor Elek, Gábor Lippner. 2009-04-18. An analogue of the Szemeredi Regularity Lemma for bounded degree graphs. https://arxiv.org/abs/0809.2879

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