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2010
Springer

Fixed Parameter Evolutionary Algorithms and Maximum Leaf Spanning Trees: A Matter of Mutation

8 years 10 months ago
Fixed Parameter Evolutionary Algorithms and Maximum Leaf Spanning Trees: A Matter of Mutation
Abstract. Evolutionary algorithms have been shown to be very successful for a wide range of NP-hard combinatorial optimization problems. We investigate the NP-hard problem of computing a spanning tree that has a maximal number of leaves by evolutionary algorithms in the context of fixed parameter tractability (FPT) where the maximum number of leaves is the parameter under consideration. Our results show that simple evolutionary algorithms working with an edge-set encoding are confronted with local optima whose size of the inferior neighborhood grows with the value of an optimal solution. Investigating two common mutation operators, we show that an operator related to spanning tree problems leads to an FPT running time in contrast to a general mutation operator that does not have this property.
Stefan Kratsch, Per Kristian Lehre, Frank Neumann,
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where PPSN
Authors Stefan Kratsch, Per Kristian Lehre, Frank Neumann, Pietro Simone Oliveto
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