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COMBINATORICS
2004
61views more  COMBINATORICS 2004»
13 years 8 months ago
Improved Bounds on the Length of Maximal Abelian Square-free Words
A word is abelian square-free if it does not contain two adjacent subwords which are permutations of each other. Over an alphabet k on k letters, an abelian squarefree word is max...
Evan M. Bullock
COMBINATORICS
2000
91views more  COMBINATORICS 2000»
13 years 8 months ago
A Construction Method for Complete Sets of Mutually Orthogonal Frequency Squares
A construction is described for combining affine designs with complete sets of mutually orthogonal frequency squares to produce other complete sets. Key words: Matrices, orthogona...
Vassili C. Mavron
COMBINATORICS
2000
88views more  COMBINATORICS 2000»
13 years 8 months ago
An Infinite Antichain of Permutations
We constructively prove that the partially ordered set of finite permutations ordered by deletion of entries contains an infinite antichain. In other words, there exists an infini...
Daniel A. Spielman, Miklós Bóna
COMBINATORICS
2000
78views more  COMBINATORICS 2000»
13 years 8 months ago
Two New Extensions of the Hales-Jewett Theorem
: We prove two extensions of the Hales-Jewett coloring theorem. The first is a polynomial version of a finitary case of Furstenberg and Katznelson's multiparameter elaboration...
Randall McCutcheon
COMBINATORICS
2007
68views more  COMBINATORICS 2007»
13 years 8 months ago
Compositions of Graphs Revisited
The idea of graph compositions, which was introduced by A. Knopfmacher and M. E. Mays, generalizes both ordinary compositions of positive integers and partitions of finite sets. ...
Aminul Huq