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» A Result in Dual Ramsey Theory
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TCS
2010
14 years 6 months ago
Factorization forests for infinite words and applications to countable scattered linear orderings
The theorem of factorization forests of Imre Simon shows the existence of nested factorizations -- `a la Ramsey -- for finite words. This theorem has important applications in sem...
Thomas Colcombet
PAMI
2012
13 years 2 months ago
M-Idempotent and Self-Dual Morphological Filters
—In this paper, we present a comprehensive analysis of self-dual and m-idempotent operators. We refer to an operator as m-idempotent if it converges after m iterations. We focus ...
Nidhal Bouaynaya, Mohammed Charif-Chefchaouni, Dan...
FCT
2007
Springer
15 years 3 months ago
Factorisation Forests for Infinite Words
The theorem of factorisation forests shows the existence of nested factorisations -- a la Ramsey -- for finite words. This theorem has important applications in semigroup theory, a...
Thomas Colcombet
SIGACT
2008
103views more  SIGACT 2008»
14 years 11 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke
JCT
2010
63views more  JCT 2010»
14 years 10 months ago
Cyclic sieving, promotion, and representation theory
We prove a collection of conjectures of D. White [37], as well as some related conjectures of Abuzzahab-Korson-Li-Meyer [1] and of Reiner and White [21], [37], regarding the cyclic...
Brendon Rhoades