Title
Solving the Graph Coloring Problem Using Cuckoo Search.
Abstract
We adapt the Cuckoo Search (CS) algorithm for solving the three color Graph Coloring Problem (3-GCP). The difficulty of this task is adapting CS from a continuous to a discrete domain. Previous researches used sigmoid functions to discretize the Levi Flight (LF) operator characteristic of CS, but this approach does not take into account the concept of Solution Distance, one of the main characteristics of LF. In this paper, we propose a new discretization of CS that maintains LF's solution distance concept. We also simplify CS's parasitism operator, reducing the number of evaluations necessary. We compare different combinations of the proposed changes, using GA as a baseline, on a set of randomly generated 3-GCP problems. The results show the importance of a good discretization of the LF operator to increase the success rate and provide auto-adaptation to the CS algorithm.
Year
DOI
Venue
2017
10.1007/978-3-319-61824-1_60
ADVANCES IN SWARM INTELLIGENCE, ICSI 2017, PT I
Keywords
Field
DocType
Graph Coloring Problem,Cuckoo algorithm,Levy flight
Discretization,Mathematical optimization,Computer science,Lévy flight,Algorithm,Cuckoo search,Operator (computer programming),Greedy coloring,Graph coloring,Sigmoid function
Conference
Volume
ISSN
Citations 
10385
0302-9743
1
PageRank 
References 
Authors
0.43
6
3
Name
Order
Citations
PageRank
Claus Aranha1358.68
Keita Toda210.43
Hitoshi Kanoh37712.12