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» On the Complexity of the Sperner Lemma
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JCT
2006
75views more  JCT 2006»
13 years 5 months ago
Sperner labellings: A combinatorial approach
In 2002, De Loera, Peterson and Su proved the following conjecture of Atanassov: let T be a triangulation of a d-dimensional polytope P with n vertices v1, v2, . . . , vn; label t...
Frédéric Meunier
CORR
2011
Springer
151views Education» more  CORR 2011»
13 years 13 days ago
Multiply-Recursive Upper Bounds with Higman's Lemma
We develop a new analysis for the length of controlled bad sequences in well-quasi-orderings based on Higman’s Lemma. This leads to tight multiply-recursive upper bounds that re...
Sylvain Schmitz, Philippe Schnoebelen
JCT
1998
193views more  JCT 1998»
13 years 5 months ago
Fractional Kernels in Digraphs
The aim of this note is to point out some combinatorial applications of a lemma of Scarf, proved first in the context of game theory. The usefulness of the lemma in combinatorics...
Ron Aharoni, Ron Holzman
COCO
2003
Springer
98views Algorithms» more  COCO 2003»
13 years 10 months ago
The Complexity of Unique k-SAT: An Isolation Lemma for k-CNFs
Chris Calabro, Russell Impagliazzo, Valentine Kaba...
BIRTHDAY
2010
Springer
13 years 6 months ago
Metrization Theorem for Space-Times: From Urysohn's Problem towards Physically Useful Constructive Mathematics
In the early 1920s, Pavel Urysohn proved his famous lemma (sometimes referred to as "first non-trivial result of point set topology"). Among other applications, this lemm...
Vladik Kreinovich