@article{partitioning89, author = {Pothen, A. and Simon, H.D. and Liou, K.P.}, interhash = {2f6596b5093c7d16e3817dadf39b8aa2}, intrahash = {7444914fc73fc8ec12a67e5e172c34c0}, journal = {SIAM J. MATRIX ANAL. APPLIC.}, number = 3, pages = {430--452}, title = {{Partitioning Sparse Matrices with Eigenvectors of Graphs}}, url = {http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/19970011963_1997016998.pdf }, volume = 11, year = 1990 } @article{journals/tcad/ChanSZ94, author = {Chan, Pak K. and Schlag, Martine D. F. and Zien, Jason Y.}, date = {2006-05-31}, ee = {http://doi.ieeecomputersociety.org/10.1109/43.310898}, interhash = {f6aa8b385e7b3c62384596f70e7de423}, intrahash = {9aabfb2ef97763db1ae308576b8c0258}, journal = {IEEE Trans. on CAD of Integrated Circuits and Systems}, number = 9, pages = {1088-1096}, title = {Spectral K-way ratio-cut partitioning and clustering.}, url = {http://dblp.uni-trier.de/db/journals/tcad/tcad13.html#ChanSZ94}, volume = 13, year = 1994 } @inproceedings{yu2003multiclass, address = {Nice, France}, author = {Yu, Stella X. and Shi, Jianbo}, booktitle = {Proc. International Conference on Computer Vision (ICCV 03)}, interhash = {5ab7b4161bb7cf197db80fe14787e8ac}, intrahash = {d73e1ffedf586cdbaf076277e7c1add6}, month = oct, title = {Multiclass Spectral Clustering}, year = 2003 } @article{journals/tcad/HagenK92, author = {Hagen, Lars W. and Kahng, Andrew B.}, date = {2006-06-19}, ee = {http://doi.ieeecomputersociety.org/10.1109/43.159993}, interhash = {18e3392d9ead65ea9a4c0d7a6062b8eb}, intrahash = {74b87fbffdbc96f4b8ff54c92dc45485}, journal = {IEEE Trans. on CAD of Integrated Circuits and Systems}, number = 9, pages = {1074-1085}, title = {New spectral methods for ratio cut partitioning and clustering.}, url = {http://dblp.uni-trier.de/db/journals/tcad/tcad11.html#HagenK92}, volume = 11, year = 1992 } @inproceedings{Karypis98multilevelk-way, abstract = {In this paper, we present a new multilevel k-way hypergraph partitioning algorithm that substantially outperforms the existing state-of-the-art K-PM/LR algorithm for multi-way partitioning. both for optimizing local as well as global objectives. Experiments on the ISPD98 benchmark suite show that the partitionings produced by our scheme are on the average 15% to 23% better than those produced by the K-PM/LR algorithm, both in terms of the hyperedge cut as well as the (K - 1) metric. Furthermore, our algorithm is significantly faster, requiring 4 to 5 times less time than that required by K-PM/LR. 1 Introduction Hypergraph partitioning is an important problem with extensive application to many areas, including VLSI design [10], efficient storage of large databases on disks [14], and data mining [13]. The problem is to partition the vertices of a hypergraph into k roughly equal parts, such that a certain objective function defined over the hyperedges is optimized. A commonly used obje...}, author = {Karypis, George and Kumar, Vipin}, booktitle = {In Proceedings of the Design and Automation Conference}, interhash = {413d89f472133bf5ff0671cccc818f55}, intrahash = {d63a73732f65ce10595e210cedda3bd1}, pages = {343--348}, title = {Multilevel k-way Hypergraph Partitioning}, year = 1998 }