In this paper we consider the exact solution of the closest string problem (CSP). In general, exact algorithms for an NP-hard problem are either branch and bound procedures or dynamic programs. With respect to branch and bound, we give a new Integer Linear Programming formulation, improving over the standard one, and also suggest some combinatorial lower bounds for a possible non-ILP branch and bound approach. Furthermore, we describe the first dynamic programming procedure for the CSP.
New modeling ideas for the exact solution of the closest string problem
Dalpasso, Marcello;
2018
Abstract
In this paper we consider the exact solution of the closest string problem (CSP). In general, exact algorithms for an NP-hard problem are either branch and bound procedures or dynamic programs. With respect to branch and bound, we give a new Integer Linear Programming formulation, improving over the standard one, and also suggest some combinatorial lower bounds for a possible non-ILP branch and bound approach. Furthermore, we describe the first dynamic programming procedure for the CSP.
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