String Reconstruction from Substring Compositions

Motivated by mass-spectrometry protein sequencing, we consider the problem of reconstructing a string from the multisets of its substring composition. We show that all strings of length 7, one less than a prime and one less than twice a prime, can be reconstructed uniquely up to reversal. For all ot...

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Bibliographic Details
Main Authors: Acharya, Jayadev, Das, Hirakendu, Milenkovic, Olgica, Orlitsky, Alon, Pan, Shengjun
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2015
Online Access:http://hdl.handle.net/1721.1/100545
https://orcid.org/0000-0001-6416-2904