Greedy-reduction from Shortest Linear Superstring to Shortest Circular Superstring
December 16, 2020 Β· Declared Dead Β· π arXiv.org
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Authors
Bastien Cazaux, Eric Rivals
arXiv ID
2012.08878
Category
cs.DS: Data Structures & Algorithms
Citations
2
Venue
arXiv.org
Last Checked
4 months ago
Abstract
A superstring of a set of strings correspond to a string which contains all the other strings as substrings. The problem of finding the Shortest Linear Superstring is a well-know and well-studied problem in stringology. We present here a variant of this problem, the Shortest Circular Superstring problem where the sought superstring is a circular string. We show a strong link between these two problems and prove that the Shortest Circular Superstring problem is NP-complete. Moreover, we propose a new conjecture on the approximation ratio of the Shortest Circular Superstring problem.
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