References – Scotch Brand 5.1.10 User Manual

Page 133

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• Alex Pothen kindly gave me a version of his Multiple Minimum Degree algo-

rithm, which was embedded into Scotch from version 3.2 to version 3.4;

• Luca Scarano, visiting Erasmus student from the Universit´

a degli Studi di

Bologna

, coded the multi-level graph algorithm in Scotch 3.1;

• Yves Secretan contributed to the MinGW32 port;

• David Sherman proofread version 3.2 of this manual.

References

[1] P. Amestoy, T. Davis, and I. Duff. An approximate minimum degree ordering

algorithm. SIAM J. Matrix Anal. and Appl., 17:886–905, 1996.

[2] C. Ashcraft. Compressed graphs and the minimum degree algorithm. SIAM

J. Sci. Comput.

, 16(6):1404–1411, 1995.

[3] C. Ashcraft, S. Eisenstat, J. W.-H. Liu, and A. Sherman. A comparison of

three column based distributed sparse factorization schemes. In Proc. Fifth
SIAM Conf. on Parallel Processing for Scientific Computing

, 1991.

[4] S. T. Barnard and H. D. Simon. A fast multilevel implementation of recur-

sive spectral bisection for partitioning unstructured problems. Concurrency:
Practice and Experience

, 6(2):101–117, 1994.

[5] R. F. Boisvert, R. Pozo, and K. A. Remington. The Matrix Market exchange

formats: initial design. NISTIR 5935, National Institute of Standards and
Technology, December 1996.

[6] CeCILL: “CEA-CNRS-INRIA Logiciel Libre” free/libre software license. Avail-

able from http://www.cecill.info/licenses.en.html.

[7] P. Charrier and J. Roman. Algorithmique et calculs de complexit´e pour un

solveur de type dissections emboˆıt´ees. Numerische Mathematik, 55:463–476,
1989.

[8] C. Chevalier and F. Pellegrini. Improvement of the efficiency of genetic algo-

rithms for scalable parallel graph partitioning in a multi-level framework. In
Proc. EuroPar, Dresden

, LNCS 4128, pages 243–252, September 2006.

[9] I. Duff. On algorithms for obtaining a maximum transversal. ACM Trans.

Math. Software

, 7(3):315–330, September 1981.

[10] I. S. Duff, R. G. Grimes, and J. G. Lewis. Users’ guide for the Harwell-

Boeing sparse matrix collection. Technical Report TR/PA/92/86, CERFACS,
Toulouse, France, October 1992.

[11] F. Ercal, J. Ramanujam, and P. Sadayappan. Task allocation onto a hyper-

cube by recursive mincut bipartitionning. Journal of Parallel and Distributed
Computing

, 10:35–44, 1990.

[12] C. M. Fiduccia and R. M. Mattheyses. A linear-time heuristic for improving

network partitions. In Proceedings of the 19th Design Automation Conference,
pages 175–181. IEEE, 1982.

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