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Colloq_CS_EE: String Reconstruction from Substring Compositions
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Alon Orlitsky (ECE and CSE, UC San Diego)
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Wednesday, 20.7.2011, 13:30
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EE Meyer Building 1003
Motivated by mass-spectrometry protein sequencing, we consider the simple problem of reconstructing a string from its substring compositions. Relating the question to the long-standing turnpike problem, polynomial factorization, and cyclotomic polynomials, we cleanly characterize the lengths of reconstructable strings and the structure of non-reconstructable ones. The talk is elementary and self contained and covers work with Jayadev Acharya, Hirakendu Das, Olgica Milenkovic, and Shengjun Pan.
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