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» A new upper bound for the bipartite Ramsey problem
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ENDM
2007
96views more  ENDM 2007»
14 years 11 months ago
Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples
For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainb...
Jacob Fox, Veselin Jungic, Rados Radoicic
AAECC
2006
Springer
79views Algorithms» more  AAECC 2006»
15 years 5 months ago
New Bounds on the Capacity of Multi-dimensional RLL-Constrained Systems
Abstract. We examine the well-known problem of determining the capacity of multi-dimensional run-length-limited constrained systems. By recasting the problem, which is essentially ...
Moshe Schwartz, Alexander Vardy
SAT
2007
Springer
99views Hardware» more  SAT 2007»
15 years 5 months ago
Horn Upper Bounds and Renaming
Abstract. We consider the problem of computing tractable approximations to CNF formulas, extending the approach of Selman and Kautz to compute the Horn-LUB to involve renaming of v...
Marina Langlois, Robert H. Sloan, György Tur&...
AAAI
2006
15 years 1 months ago
Compact, Convex Upper Bound Iteration for Approximate POMDP Planning
Partially observable Markov decision processes (POMDPs) are an intuitive and general way to model sequential decision making problems under uncertainty. Unfortunately, even approx...
Tao Wang, Pascal Poupart, Michael H. Bowling, Dale...
SODA
1992
ACM
109views Algorithms» more  SODA 1992»
15 years 26 days ago
New Algorithms for Minimum Area k-gons
Given a set P of n points in the plane, we wish to find a set Q P of k points for which the convex hull conv(Q) has the minimum area. We solve this, and the related problem of fi...
David Eppstein