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Abstract: this paper, we settle the diameter problem for the syntenic distance over n-chromosome genomes. Note that because we allow for an arbitrary number N of genes, the space of all possible n-chromosome genomes is in fact in nite; so it is not immediately apparent that the diameter of this space should be nite. However, it is not dicult to show that the diameter can be bounded by a function of n, as we will see in the next section. Indeed, in previous work, the second author [20] established an... (Update)
Context of citations to this paper: More
...a worst instance of this size, and implies that D y (n) is exactly the number of moves required to solve this instance. In recent work [9], we have shown that this number is 2n 4. We have recently learned that Pisanti and Sagot [12] have given an independent proof of this fact....
.... there are ecient 2 approximations [10, 12, 23] Recent work has also explored some of the rich combinatorial structure of this model [10, 21, 23, 24, 25]. In this paper, we present an improved (exponentialtime) algorithm for exactly computing syntenic distance. Our algorithm...
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4: Sorting by transpositions (context) - Bafna, Pevzner
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BibTeX entry: (Update)
Jon Kleinberg and David Liben-Nowell. The syntenic diameter of the space of N-chromosome genomes. In David Sanko and Joseph H. Nadeau, editors, Comparative Genomics: Empirical and Analytical Approaches to Gene Order Dynamics, Map Alignment and the Evolution of Gene Families. Kluwer Academic Press, 2000. http://citeseer.ist.psu.edu/article/kleinberg00syntenic.html More
@misc{ kleinberg00syntenic,
author = "J. Kleinberg and D. Liben-Nowell",
title = "The syntenic diameter of the space of N-chromosome genomes",
text = "Jon Kleinberg and David Liben-Nowell. The syntenic diameter of the space
of N-chromosome genomes. In David Sanko and Joseph H. Nadeau, editors,
Comparative Genomics: Empirical and Analytical Approaches to Gene Order
Dynamics, Map Alignment and the Evolution of Gene Families. Kluwer Academic
Press, 2000.",
year = "2000",
url = "citeseer.ist.psu.edu/article/kleinberg00syntenic.html" }
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Documents on the same site (http://www.cs.cornell.edu/home/dln/research.html):
Structural Properties and Tractability Results for Linear.. - Liben-Nowell, Kleinberg (2000) (Correct)
On the Structure of Syntenic Distance - Liben-Nowell (1999) (Correct)
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