English

Weighted Regularity Lemma with Applications

Combinatorics 2011-02-15 v2

Abstract

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.

Keywords

Cite

@article{arxiv.0907.0245,
  title  = {Weighted Regularity Lemma with Applications},
  author = {Béla Csaba and András Pluhár},
  journal= {arXiv preprint arXiv:0907.0245},
  year   = {2011}
}

Comments

Added new applications

R2 v1 2026-06-21T13:20:16.954Z