English

Regular decomposition of the edge set of graphs with applications

Combinatorics 2021-10-27 v2

Abstract

We introduce a new method for decomposing the edge set of a graph, and use it to replace the Regularity lemma of Szemer\'edi in some graph embedding problems. An algorithmic version is also given.

Keywords

Cite

@article{arxiv.2109.12394,
  title  = {Regular decomposition of the edge set of graphs with applications},
  author = {Béla Csaba},
  journal= {arXiv preprint arXiv:2109.12394},
  year   = {2021}
}