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Using Differential Evolution for a Subclass of Graph Theory Problems
Greenwood, G.W.  
Dept. of Electr. & Comput. Eng., Portland State Univ., Portland, OR, USA;

This paper appears in: Evolutionary Computation, IEEE Transactions on
Publication Date: Oct. 2009
Volume: 13,  Issue: 5
On page(s): 1190-1192
ISSN: 1089-778X
INSPEC Accession Number: 10879804
Digital Object Identifier: 10.1109/TEVC.2009.2026000
First Published: 2009-09-09
Current Version Published: 2009-09-22

Abstract
Conventional differential evolution algorithms explore continuous spaces. In contrast, NP-complete graph problems are combinatorial and thus have discrete solution spaces, many with solutions encoded as binary strings. This letter describes a simple method showing how a conventional differential evolution algorithm can be used to solve these types of graph theory problems. The method is deterministic and can handle graphs of arbitrary size.

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