English

Sperner type lemma for quadrangulations

Combinatorics 2015-12-08 v2 Metric Geometry

Abstract

Sperner's lemma states that every Sperner coloring of a triangulation of a simplex contains a fully colored simplex. We present a generalization of this lemma, where instead of triangulations are considered quadrangulations.

Cite

@article{arxiv.1406.5082,
  title  = {Sperner type lemma for quadrangulations},
  author = {Oleg R. Musin},
  journal= {arXiv preprint arXiv:1406.5082},
  year   = {2015}
}

Comments

8 pages, 2 figures. arXiv admin note: text overlap with arXiv:1405.7513

R2 v1 2026-06-22T04:42:27.660Z