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Abstract: In this paper, new multilevel heuristics are proposed for finding a balanced bipartition of a graph. Multilevel schemes have been recently introduced for quickly solving the problem on graphs with thousands of nodes, graphs often present in domain-decomposition techniques for parallel computing. These heuristics firstly reduce the original graph by collapsing its nodes and arcs, thus generating a hierarchy of smaller and smaller graphs, then find a good partition of the smallest graph, and ... (Update)
Context of citations to this paper: More
.... Indeed, in the case of graph partitioning, examples of multilevel implementations exist for simulated annealing, 34] tabu search, [2, 34], and even genetic algorithms, 21] The refinement algorithm must also be able to cope with any additional restrictions placed on it...
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BibTeX entry: (Update)
R. Battiti, A. Bertossi, and A. Cappelletti. Multilevel Reactive Tabu Search for Graph Partitioning. Preprint UTM 554, Dip. Mat., Univ. Trento, Italy, 1999. http://citeseer.ist.psu.edu/battiti99multilevel.html More
@misc{ battiti99multilevel,
author = "R. Battiti and A. Bertossi and A. Cappelletti",
title = "Multilevel Reactive Tabu Search for Graph Partitioning",
text = "R. Battiti, A. Bertossi, and A. Cappelletti. Multilevel Reactive Tabu Search
for Graph Partitioning. Preprint UTM 554, Dip. Mat., Univ. Trento, Italy,
1999.",
year = "1999",
url = "citeseer.ist.psu.edu/battiti99multilevel.html" }
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429 An efficient heuristic procedure for partitioning graphs (context) - Kernighan, Lin - 1970
312 Tabu Search - part (context) - Glover - 1989
309 Partitioning sparse matrices with eigenvectors of graphs (context) - Pothen, Simon et al. - 1990
288 A Fast and High Quality Multilevel Scheme for Partitioning I.. - Karypis, Kumar - 1995
288 Introduction to Parallel Computing: Design and Analysis of A.. (context) - Kumar, Grama et al. - 1994
244 A multilevel algorithm for partitioning graphs - Hendrickson, Leland - 1993
225 Some simplified NP-complete graph problems (context) - Garey, Johnson et al. - 1976
222 A fast multilevel implementation of recursive spectral bisec.. - Barnard, Simon - 1995
178 Sparse Matrix Test Problems (context) - Duff, Grimmes et al. - 1989
115 An improved spectral graph partitioning algorithm for mappin.. - Hendrickson, Leland - 1992
67 A unified geometric approach to graph separators (context) - Miller, Teng et al. - 1991
65 Dynamic load-balancing for PDE solvers on adaptive unstructu.. - Walshaw, Berzins - 1995
63 Algorithms for the maximum satisfiability problem (context) - Hansen, Jaumard - 1990
42 Analysis of Multilevel Graph Partitioning - Karypis, Kumar - 1995
39 Fast and effective algorithms graph partitioning and sparse-.. - Gupta - 1997
28 Toward a fast implementation of spectral nested dissection (context) - Pothen, Simon et al. - 1992
26 Finding good approximate vertex and edge partitions is NP-ha.. (context) - Bui, Jones - 1992
26 The Chaco user's guide (context) - Hendrickson, Leland - 1993
24 Reactive Search: Toward self-tuning heuristics - Battiti - 1996
15 A Local Graph partitioning Heuristic Meeting Bisection Bound.. - Monien, Diekman - 1997
11 Multilevel k-way Partitioning Scheme for Irregular Graphs - Karypis, Kumar - 1995
7 The Party Partitioning Library, User guide (context) - Preis, Diekmann - 1996
3 Differential Greedy for the 0-1 Equicut Problem (context) - Battiti, Bertossi - 1998
3 Greedy, Prohibition, and Reactive Heuristics for Graph Parti.. - Battiti, Bertossi - 1999
1 Algorithms foe static and dynamic Load Balancing on Parallel.. (context) - Van Driessche - 1995
http://www.uni-paderborn.de/fachbereich/AG/monien/RESEARCH/PART/graphs.html
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