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» A proof of the q, t-square conjecture
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DM
2002
93views more  DM 2002»
13 years 4 months ago
A proof of the q, t-Catalan positivity conjecture
We present here a proof that a certain rational function Cn(q, t) which has come to be known as the "q, t-Catalan" is in fact a polynomial with positive integer coeffici...
Adriano M. Garsia, James Haglund
JCT
2006
55views more  JCT 2006»
13 years 4 months ago
A proof of the q, t-square conjecture
We prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of the sign character in (pn). Here denotes the Bergeron-Garsia nabla operator, and pn is a...
Mahir Can, Nicholas A. Loehr
DCC
2002
IEEE
14 years 4 months ago
Subcodes of the Projective Generalized Reed-Muller Codes Spanned by Minimum-Weight Vectors
We use methods of Mortimer [19] to examine the subcodes spanned by minimumweight vectors of the projective generalized Reed-Muller codes and their duals. These methods provide a p...
Peng Ding, Jennifer D. Key
COMBINATORICS
2006
101views more  COMBINATORICS 2006»
13 years 4 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
FOCS
2004
IEEE
13 years 8 months ago
Optimal Inapproximability Results for Max-Cut and Other 2-Variable CSPs?
In this paper we show a reduction from the Unique Games problem to the problem of approximating MAX-CUT to within a factor of GW + , for all > 0; here GW .878567 denotes the a...
Subhash Khot, Guy Kindler, Elchanan Mossel, Ryan O...