Meunier Conjecture
Combinatorics
2012-09-04 v1
Abstract
Fr\'ed\'eric Meunier's question about a multicolored Sperner lemma is addressed, leaving the question of connectivity for the color hypergraphs of such a multicolored simplex. Sperner's lemma asserts the existence of a simplex using all the colors for any vertex coloring of a subdivision of a large simplex with appropriate boundary conditions. Meunier's questions generalizes this to the situation of having several such colorings and asserts the existence of a simplex using enough different colors from each coloring.
Keywords
Cite
@article{arxiv.1209.0102,
title = {Meunier Conjecture},
author = {Eric Babson},
journal= {arXiv preprint arXiv:1209.0102},
year = {2012}
}