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The Cartographer
Variance of the Internal Profile in Suffix Trees
May 11, 2016 Β· Declared Dead Β· π arXiv.org
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Authors
Jeffrey Gaither, Mark Daniel Ward
arXiv ID
1605.03390
Category
cs.DS: Data Structures & Algorithms
Citations
0
Venue
arXiv.org
Last Checked
5 months ago
Abstract
The precise analysis of the variance of the profile of a suffix tree has been a longstanding open problem. We analyze three regimes of the asymptotic growth of the variance of the profile of a suffix tree built from a randomly generated binary string, in the nonuniform case. We utilize combinatorics on words, singularity analysis, and the Mellin transform.
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