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http://dx.doi.org/10.6109/jicce.2022.20.2.90

Maximum Node Interconnection by a Given Sum of Euclidean Edge Lengths in a Cluster Node Distribution  

Kim, Yeonsoo (School of Computer Science and Information Engineering, The Catholic University of Korea)
Kim, Minkwon (School of Computer Science and Information Engineering, The Catholic University of Korea)
Hwang, Byungyeon (School of Computer Science and Information Engineering, The Catholic University of Korea)
Abstract
This paper proposes a method to find a tree with the maximum number of terminals that can be connected by a given length when numerous terminals distributed in a cluster form are given to the Euclidean plane R2 with several constraints. First constraint is that a given terminal is distributed in a cluster form, second is that a given length cannot connect all terminals in the tree, and third is that there is no curved connection between each terminal. This paper proposes a method to establish more efficient interconnections within terminals distributed in a cluster form by improving a randomly distributed memetic genetic algorithm. The construction of interconnections has been extensively used in design-related fields, from networking to architecture. Additionally, in real life, the construction of interconnections is mostly distributed in the form of clusters. Therefore, the heuristic algorithm proposed in this paper can be effectively utilized in real life and is expected to provide various cost savings.
Keywords
Cluster distribution; Genetic algorithm; Interconnection graph problem; NP-hardness;
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