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.
2018
Communications in Computer and Information Science
9783319991320
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/3287764
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