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An Empirical Study on Crossover Operator for Degree Constraint Minimal Spanning Tree Problem Using Genetic Algorithm


Affiliations
1 Department of Master of Computer Applications, M.S. Engineering College, Bangalore, India
2 Faculty of Computer Studies Kadi Sarva Vishwavidyalya, Gandhinagar, India
     

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This paper presents an influence of crossover operator in genetic algorithm for small to large minimum spanning tree problem. A minimum spanning tree problem becomes NP-hard problem when additional constraint degree is applied with each node to restrict the number of edges. Crossover operator plays an important role in genetic algorithm approach. Since many researchers have tried to solve this problem for small to mid size, we have explored the use of genetic algorithm with various crossover functions with modification but without changing the nature of genetic algorithm. Various crossover functions have been developed here as per the requirement of the problem and applied with the various size of network. In this paper we have tried to show the impact of crossover function in genetic algorithm.

Keywords

Genetic Algorithm, Crossover Operator Degree Constrained Minimum Spanning Tree
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  • An Empirical Study on Crossover Operator for Degree Constraint Minimal Spanning Tree Problem Using Genetic Algorithm

Abstract Views: 276  |  PDF Views: 0

Authors

Anand Kumar
Department of Master of Computer Applications, M.S. Engineering College, Bangalore, India
N.N. Jani
Faculty of Computer Studies Kadi Sarva Vishwavidyalya, Gandhinagar, India

Abstract


This paper presents an influence of crossover operator in genetic algorithm for small to large minimum spanning tree problem. A minimum spanning tree problem becomes NP-hard problem when additional constraint degree is applied with each node to restrict the number of edges. Crossover operator plays an important role in genetic algorithm approach. Since many researchers have tried to solve this problem for small to mid size, we have explored the use of genetic algorithm with various crossover functions with modification but without changing the nature of genetic algorithm. Various crossover functions have been developed here as per the requirement of the problem and applied with the various size of network. In this paper we have tried to show the impact of crossover function in genetic algorithm.

Keywords


Genetic Algorithm, Crossover Operator Degree Constrained Minimum Spanning Tree

References