On reconstructing a string from its substring compositions

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On reconstructing a string from its substring compositions

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Creation Date: Jun 13, 2013

Published In: Jun 2010

Paper Type: Conference Paper

Book Title: Proc. of IEEE International Symposium on Information Theory

Address: Austin, TX, USA

Abstract:

Motivated by protein sequencing, we consider the problem of reconstructing a string from thecompositions of its substrings. We provide several results, including the following. General classes of strings that cannot be distinguished from their substring compositions. An almost complete characterization of the lengths for which reconstruction is possible. Bounds on the number of strings with the same substring compositions in terms of the number of divisors of the string length plus one. A relation to the turnpike problem and a bivariate polynomial formulation of string reconstruction.

IEEE Explore link: http://dx.doi.org/10.1109/ISIT.2010.5513668

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