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» A Proof of the Two-path Conjecture
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FOCS
1998
IEEE
14 years 27 days ago
The Shortest Vector in a Lattice is Hard to Approximate to Within Some Constant
We show that approximating the shortest vector problem (in any p norm) to within any constant factor less than p 2 is hard for NP under reverse unfaithful random reductions with i...
Daniele Micciancio
ATVA
2008
Springer
143views Hardware» more  ATVA 2008»
13 years 10 months ago
Automating Algebraic Specifications of Non-freely Generated Data Types
Abstract. Non-freely generated data types are widely used in case studies carried out in the theorem prover KIV. The most common examples are stores, sets and arrays. We present an...
Andriy Dunets, Gerhard Schellhorn, Wolfgang Reif
CCCG
2006
13 years 10 months ago
Polygons Flip Finitely: Flaws and a Fix
Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdos posed this as an open problem in 1935, several independent purport...
Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, ...
COMBINATORICS
2006
101views more  COMBINATORICS 2006»
13 years 8 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
JCT
2007
97views more  JCT 2007»
13 years 8 months ago
What power of two divides a weighted Catalan number?
Given a sequence of integers b = (b0,b1,b2,...) one gives a Dyck path P of length 2n the weight wt(P) = bh1 bh2 ···bhn , where hi is the height of the ith ascent of P. The corr...
Alexander Postnikov, Bruce E. Sagan