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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Fitness landscapes and the Andrews-Curtis conjecture
Author(s): Swan, Jerry
Ochoa, Gabriela
Kendall, Graham
Edjvet, Martin
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Keywords: Andrews–Curtis conjecture
fitness landscapes
combinatorial optimization
Issue Date: Mar-2012
Date Deposited: 8-Oct-2012
Citation: Swan J, Ochoa G, Kendall G & Edjvet M (2012) Fitness landscapes and the Andrews-Curtis conjecture. International Journal of Algebra and Computation, 22 (2), p. 1250009.
Abstract: Attempts have been made to eliminate some potential counterexamples to the Andrews-Curtis conjecture using the combinatorial optimization methods of blind-search and the genetic algorithms meta-heuristic. Breadth-first search with secondary storage is currently the most successful method, which raises questions regarding the inferior performance of heuristic search. In order to understand the underlying reasons we obtain fitness landscape metrics for a number of balanced presentations and draw conclusions regarding the likely effectiveness of other meta-heuristics.
DOI Link: 10.1142/S0218196711006753
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