English

A Characterization of Easily Testable Induced Digraphs and $k$-Colored Graphs

Combinatorics 2022-02-24 v2

Abstract

We complete the characterization of the digraphs DD for which the induced DD-removal lemma has polynomial bounds, answering a question of Alon and Shapira. We also study the analogous problem for kk-colored complete graphs. In particular, we prove a removal lemma with polynomial bounds for Gallai colorings.

Keywords

Cite

@article{arxiv.2201.11447,
  title  = {A Characterization of Easily Testable Induced Digraphs and $k$-Colored Graphs},
  author = {Lior Gishboliner},
  journal= {arXiv preprint arXiv:2201.11447},
  year   = {2022}
}
R2 v1 2026-06-24T09:05:16.070Z