P. Pop, B. Hu, G. Raidl:

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

in: "Computer Aided Systems Theory - EUROCAST 2013 - Part 1", Springer, 2013, ISBN: 978-3-642-53855-1, 219 - 226.

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 ∗ ⊂ 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 tailored for the corresponding situations, respectively. The

algorithm is evaluated on a common benchmark instances set and the

computational results show that compared to a state-of-the-art branch

and cut algorithm, our MA achieves solid results in very short run-times.

http://publik.tuwien.ac.at/files/PubDat_225587.pdf

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