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» Proof of a Chromatic Polynomial Conjecture
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FOCS
2002
IEEE
15 years 4 months 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»
14 years 11 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»
14 years 11 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»
15 years 12 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»
14 years 11 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