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Cluster graph modification problems
Discrete Applied Mathematics - Discrete mathematics & data mining (DM & DM)
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Theory of Computing Systems
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The cluster editing problem: implementations and experiments
IWPEC'06 Proceedings of the Second international conference on Parameterized and Exact Computation
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ESCAPE'07 Proceedings of the First international conference on Combinatorics, Algorithms, Probabilistic and Experimental Methodologies
Going Weighted: Parameterized Algorithms for Cluster Editing
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A more effective linear kernelization for cluster editing
Theoretical Computer Science
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TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
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AAIM '09 Proceedings of the 5th International Conference on Algorithmic Aspects in Information and Management
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Artificial Intelligence
Graph-Based Data Clustering with Overlaps
COCOON '09 Proceedings of the 15th Annual International Conference on Computing and Combinatorics
Going weighted: Parameterized algorithms for cluster editing
Theoretical Computer Science
Polynomial kernels for 3-leaf power graph modification problems
Discrete Applied Mathematics
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We present empirical results for the CLUSTER EDITING problem using exact methods from fixed-parameter algorithmics and linear programming. We investigate parameter-independent data reduction methods and find that effective preprocessing is possible if the number of edge modifications k is smaller than some multiple of |V|. In particular, combining parameter-dependent data reduction with lower and upper bounds we can effectively reduce graphs satisfying k ≤ 25 |V|. In addition to the fastest known fixed-parameter branching strategy for the problem, we investigate an integer linear program (ILP) formulation of the problem using a cutting plane approach. Our results indicate that both approaches are capable of solving large graphs with 1000 vertices and several thousand edge modifications. For the first time, complex and very large graphs such as biological instances allow for an exact solution, using a combination of the above techniques.