English

An algorithmic regularity lemma for $L_p$ regular sparse matrices

Combinatorics 2017-05-19 v2

Abstract

We prove an algorithmic regularity lemma for LpL_p regular matrices (1<p),(1 < p \leq \infty), a class of sparse {0,1}\{0,1\} matrices which obey a natural pseudorandomness condition. This extends a result of Coja-Oghlan, Cooper and Frieze who treated the case of LL_{\infty} regular matrices. We also present applications of this result for tensors and MAX-CSP instances.

Keywords

Cite

@article{arxiv.1607.07204,
  title  = {An algorithmic regularity lemma for $L_p$ regular sparse matrices},
  author = {Thodoris Karageorgos and Silouanos Brazitikos},
  journal= {arXiv preprint arXiv:1607.07204},
  year   = {2017}
}
R2 v1 2026-06-22T15:03:14.876Z