A Memetic Algorithm with Two Distinct Solution Representations for the Partition Graph Coloring Problem

@inproceedings{Pop2013AMA,
  title={A Memetic Algorithm with Two Distinct Solution Representations for the Partition Graph Coloring Problem},
  author={Petrică C. Pop and Bin Hu and G{\"u}nther R. Raidl},
  booktitle={EUROCAST},
  year={2013}
}
In this paper we propose a memetic algorithm (MA) for the partition graph coloring problem. Given a clustered graph G = (V,E), the goal is to find a subset V * i¾? V that contains exactly one node for each cluster and a coloring for V * so that in the graph induced by V *, two adjacent nodes have different colors and the total number of used colors is minimal. In our MA we use two distinct solution representations, one for the genetic operators and one for the local search procedure, which are… 
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References

SHOWING 1-10 OF 20 REFERENCES
A memetic algorithm for graph coloring
A Memetic Algorithm for the Partition Graph Coloring Problem
TLDR
This paper analyzes the complexity for some special graph classes obtained by considering classical network design problems on a clustered graph where the original problem’s feasibility constraints are expressed in terms of the clusters, i.e., node sets instead of individual nodes.
A branch-and-cut algorithm for partition coloring
Let G = (V, E, Q) be a undirected graph, where V is the set of vertices, E is the set of edges, and Q = lQ1,…,Qqr is a partition of V into q subsets. We refer to Q1,…,Qq as the components of the
Exact Solution of Graph Coloring Problems via Constraint Programming and Column Generation
TLDR
This work considers two approaches for solving the classical minimum vertex coloring problem, constraint programming and column generation, and extends the solution approaches to a generalization of the problem known as the minimum vertex graph multicoloring problem, where a given number of colors has to be assigned to each vertex.
A Column Generation Approach for Graph Coloring
TLDR
This work uses a column generation method for implicit optimization of the linear program at each node of the branch-and-bound tree to solve small to moderate size problems quickly.
Coloring by tabu branch and bound
TLDR
An adaptive depth procedure for coloring a graph that combines elements of tabu search and branch and bound, and employs a concept of color conditioned dependency to permit shrinking of the graph at appropriate stages to assure optimality.
Selective Graph Coloring in Some Special Classes of Graphs
TLDR
This paper considers the selective graph coloring problem, and investigates the complexity status of this problem in various classes of graphs.
A Branch-and-Cut Algorithm for the Partition Coloring Problem
Let G = (V,E) be an undirected graph, where E is the set of edges and V is the set of vertices. Furthermore, let Q = {Q1, . . . , Qq} be a partition of V into q subsets such that Q1 ∪ . . .∪Qq = V
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