Weighted Regularity Lemma with Applications

Details Weighted Regularity Lemma with Applications Weighted Regularity Lemma with Applications

2009-07-01

arxiv.org/abs/0907.0245v2

Mathematics

Combinatorics

Added new applications

Scientific paper

We prove an extension of the Regularity Lemma with vertex and edge weights
which can be applied for a large class of graphs. The applications involve
random graphs and a weighted version of the Erd\H{o}s-Stone theorem. We also
provide means to handle the otherwise uncontrolled exceptional set.

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