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COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 9 months ago
Bijections and Congruences for Generalizations of Partition Identities of Euler and Guy
In 1958, Richard Guy proved that the number of partitions of n into odd parts greater than one equals the number of partitions of n into distinct parts with no powers of 2 allowed...
James A. Sellers, Andrew V. Sills, Gary L. Mullen
COMBINATORICS
2004
90views more  COMBINATORICS 2004»
13 years 9 months ago
Strings with Maximally Many Distinct Subsequences and Substrings
A natural problem in extremal combinatorics is to maximize the number of distinct subsequences for any length-n string over a finite alphabet ; this value grows exponentially, but...
Abraham Flaxman, Aram Wettroth Harrow, Gregory B. ...
COCOON
2004
Springer
14 years 1 months ago
Regular Expressions for Languages over Infinite Alphabets
In this paper we introduce a notion of a regular expression over infinite alphabets and show that a language is definable by an infinite alphabet regular expression if and only if ...
Michael Kaminski, Tony Tan
COMBINATORICS
2004
102views more  COMBINATORICS 2004»
13 years 9 months ago
Satisfiability and Computing van der Waerden Numbers
In this paper we bring together the areas of combinatorics and propositional satisfiability. Many combinatorial theorems establish, often constructively, the existence of positive...
Michael R. Dransfield, Lengning Liu, Victor W. Mar...
COCOON
2004
Springer
14 years 1 months ago
k-Center Problems with Minimum Coverage
In this work, we study an extension of the k-center facility location problem, where centers are required to service a minimum of clients. This problem is motivated by requirement...
Andrew Lim, Brian Rodrigues, Fan Wang, Zhou Xu