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» Proof of a Chromatic Polynomial Conjecture
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FOCS
2002
IEEE
14 years 13 days ago
The Hardness of 3 - Uniform Hypergraph Coloring
We prove that coloring a 3-uniform 2-colorable hypergraph with c colors is NP-hard for any constant c. The best known algorithm [20] colors such a graph using O(n1/5 ) colors. Our...
Irit Dinur, Oded Regev, Clifford D. Smyth
COMBINATORICS
2006
101views more  COMBINATORICS 2006»
13 years 7 months ago
Optimal Penney Ante Strategy via Correlation Polynomial Identities
In the game of Penney Ante two players take turns publicly selecting two distinct words of length n using letters from an alphabet of size q. They roll a fair q sided die having ...
Daniel Felix
JSYML
2008
56views more  JSYML 2008»
13 years 7 months ago
On metric types that are definable in an o-minimal structure
Abstract. In this paper we study the metric spaces that are definable in a polynomially bounded ominimal structure. We prove that the family of metric spaces definable in a given p...
Guillaume Valette
STOC
2007
ACM
94views Algorithms» more  STOC 2007»
14 years 7 months ago
Constructing non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky
CORR
2004
Springer
90views Education» more  CORR 2004»
13 years 7 months ago
Non-computable Julia sets
While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were ...
Mark Braverman, Michael Yampolsky