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Common subsequences and supersequences and their expected length

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UNSPECIFIED. (1998) Common subsequences and supersequences and their expected length. COMBINATORICS PROBABILITY & COMPUTING, 7 (4). pp. 365-373. ISSN 0963-5483

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Abstract

Let f(n,k, l) be the expected length of a longest common subsequence of I sequences of length n over an alphabet of size k. It is known that there are constants y(k)((l))) such that f(n,k, l) --> gamma(k)((l))n as n --> infinity , and we show that gamma(k)((l)) = Theta(k(1/1-1)) as k --> infinity . Bounds for the k k corresponding constants for the expected length of a shortest common supersequence are also presented.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Q Science > QA Mathematics
Journal or Publication Title: COMBINATORICS PROBABILITY & COMPUTING
Publisher: CAMBRIDGE UNIV PRESS
ISSN: 0963-5483
Date: December 1998
Volume: 7
Number: 4
Number of Pages: 9
Page Range: pp. 365-373
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/14701

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