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COMBINATORICS
1998
77views more  COMBINATORICS 1998»
13 years 7 months ago
Permutations which are the Union of an Increasing and a Decreasing Subsequence
It is shown that there are 2n n − n−1 m=0 2n−m−1 2m m permutations which are the union of an increasing sequence and a decreasing sequence. 1991 Mathematics Subject Classi...
M. D. Atkinson
COMBINATORICS
2007
99views more  COMBINATORICS 2007»
13 years 7 months ago
Permutations Without Long Decreasing Subsequences and Random Matrices
We study the shape of the Young diagram λ associated via the Robinson– Schensted–Knuth algorithm to a random permutation in Sn such that the length of the longest decreasing ...
Piotr Sniady
COMBINATORICS
2002
113views more  COMBINATORICS 2002»
13 years 7 months ago
Longest Increasing Subsequences in Pattern-Restricted Permutations
Inspired by the results of Baik, Deift and Johansson on the limiting distribution of the lengths of the longest increasing subsequences in random permutations, we find those limit...
Emeric Deutsch, A. J. Hildebrand, Herbert S. Wilf
COMBINATORICS
2007
164views more  COMBINATORICS 2007»
13 years 7 months ago
Longest Alternating Subsequences in Pattern-Restricted Permutations
We determine the limiting distributions of the longest alternating subsequence for pattern-restricted permutations in which the pattern is any one of the six patterns of length th...
Ghassan Firro, Toufik Mansour, Mark C. Wilson
COCOON
2005
Springer
14 years 29 days ago
Finding Longest Increasing and Common Subsequences in Streaming Data
In this paper, we present algorithms and lower bounds for the Longest Increasing Subsequence (LIS) and Longest Common Subsequence (LCS) problems in the data streaming model. For t...
David Liben-Nowell, Erik Vee, An Zhu