An analogue of the Szemeredi Regularity Lemma for bounded degree graphs

Details An analogue of the Szemeredi Regularity Lemma for bounded degree graphs An analogue of the Szemeredi Regularity Lemma for bounded degree graphs

2008-09-17

arxiv.org/abs/0809.2879v2

Mathematics

Combinatorics

Corrected an error in the proof of the Homogeneity Lemma. A new result is proved about edge-colorings of convergent graph sequ

Scientific paper

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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