English

Non-dominating sequences of vectors using only resets and increments

Discrete Mathematics 2015-12-08 v2

Abstract

We consider a variant of Dickson lemma, where each entry of a vector can be reseted or incremented by 1 in respect to the previous one. We give an example of non dominating sequence of length 22θ(n)2^{2^{\theta (n)}}. It perfectly match the previously known upperbound.

Keywords

Cite

@article{arxiv.1506.05279,
  title  = {Non-dominating sequences of vectors using only resets and increments},
  author = {Wojciech Czerwinski and Tomasz Gogacz and Eryk Kopczynski},
  journal= {arXiv preprint arXiv:1506.05279},
  year   = {2015}
}
R2 v1 2026-06-22T09:55:09.774Z