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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
CPM
2006
Springer
175views Combinatorics» more  CPM 2006»
14 years 5 days ago
On-Line Linear-Time Construction of Word Suffix Trees
Abstract. Suffix trees are the key data structure for text string matching, and are used in wide application areas such as bioinformatics and data compression. Sparse suffix trees ...
Shunsuke Inenaga, Masayuki Takeda
COMBINATORICS
2007
81views more  COMBINATORICS 2007»
13 years 8 months ago
The m-Colored Composition Poset
We define a partial order on colored compositions with many properties analogous to Young’s lattice. We show that saturated chains correspond to colored permutations, and that ...
Brian Drake, T. Kyle Petersen
COMBINATORICS
2007
121views more  COMBINATORICS 2007»
13 years 8 months ago
A Bound for Size Ramsey Numbers of Multi-partite Graphs
It is shown that the (diagonal) size Ramsey numbers of complete m-partite graphs Km(n) can be bounded from below by cn22(m−1)n, where c is a positive constant. Key words: Size R...
Yuqin Sun, Yusheng Li
COMBINATORICS
2000
74views more  COMBINATORICS 2000»
13 years 8 months ago
Frequency Squares and Affine Designs
The known methods for constructing complete sets of mutually orthogonal frequency squares all yield one of two parameter sets. We show that almost all these constructions can be d...
Vassili C. Mavron