English

A more accurate view of the Flat Wall Theorem

Discrete Mathematics 2022-10-06 v2 Data Structures and Algorithms Combinatorics

Abstract

We introduce a supporting combinatorial framework for the Flat Wall Theorem. In particular, we suggest two variants of the theorem and we introduce a new, more versatile, concept of wall homogeneity as well as the notion of regularity in flat walls. All proposed concepts and results aim at facilitating the use of the irrelevant vertex technique in future algorithmic applications.

Keywords

Cite

@article{arxiv.2102.06463,
  title  = {A more accurate view of the Flat Wall Theorem},
  author = {Ignasi Sau and Giannos Stamoulis and Dimitrios M. Thilikos},
  journal= {arXiv preprint arXiv:2102.06463},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2004.12692

R2 v1 2026-06-23T23:05:56.505Z