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» Upper and lower Ramsey bounds in bounded arithmetic
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TIT
2008
90views more  TIT 2008»
14 years 11 months ago
An Improved Sphere-Packing Bound for Finite-Length Codes Over Symmetric Memoryless Channels
This paper derives an improved sphere-packing (ISP) bound for finite-length error-correcting codes whose transmission takes place over symmetric memoryless channels, and the codes...
Gil Wiechman, Igal Sason
RANDOM
1998
Springer
15 years 4 months ago
"Balls into Bins" - A Simple and Tight Analysis
Suppose we sequentially throw m balls into n bins. It is a natural question to ask for the maximum number of balls in any bin. In this paper we shall derive sharp upper and lower b...
Martin Raab, Angelika Steger
ARSCOM
2008
103views more  ARSCOM 2008»
14 years 12 months ago
Estimating the number of graphs containing very long induced paths
Let P(n, k) denote the number of graphs on n + k vertices that contain Pn, a path on n vertices, as an induced subgraph. In this note we will find upper and lower bounds for P(n, ...
Steven Butler
KDID
2004
134views Database» more  KDID 2004»
15 years 1 months ago
Theoretical Bounds on the Size of Condensed Representations
Abstract. Recent studies demonstrate the usefulness of condensed representations as a semantic compression technique for the frequent itemsets. Especially in inductive databases, c...
Nele Dexters, Toon Calders
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