The complexity of string partitioning
Abstract
Given a string w over a finite alphabet and an integer K, can w be partitioned into strings of length at most K, such that there are no collisions? We refer to this question as the string partition problem and show it is -complete for various definitions of collision and for a number of interesting restrictions including ||=2. This establishes the hardness of an important problem in contemporary synthetic biology, namely, oligo design for gene synthesis.
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