메뉴 건너뛰기




Volumn 34, Issue 6-8, 2008, Pages 318-331

PT-Scotch: A tool for efficient parallel graph ordering

Author keywords

Distributed memory computer; Multi threading; Parallel graph ordering; Parallel nested dissection

Indexed keywords

ALGORITHMS; PROBLEM SOLVING; SOFTWARE PACKAGES;

EID: 44349158351     PISSN: 01678191     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.parco.2007.12.001     Document Type: Article
Times cited : (327)

References (31)
  • 1
    • 44349159223 scopus 로고    scopus 로고
    • MeTiS: family of multilevel partitioning algorithms. .
    • MeTiS: family of multilevel partitioning algorithms. .
  • 2
    • 44349171443 scopus 로고    scopus 로고
    • Jostle: graph partitioning software. .
    • Jostle: graph partitioning software. .
  • 3
    • 44349085654 scopus 로고    scopus 로고
    • Scotch: static mapping, graph partitioning, and sparse matrix block ordering package. .
    • Scotch: static mapping, graph partitioning, and sparse matrix block ordering package. .
  • 4
    • 84937995839 scopus 로고
    • Direct solutions of sparse network equations by optimally ordered triangular factorization
    • Tinney W.F., and Walker J.W. Direct solutions of sparse network equations by optimally ordered triangular factorization. J. Proc. IEEE 55 (1967) 1801-1809
    • (1967) J. Proc. IEEE , vol.55 , pp. 1801-1809
    • Tinney, W.F.1    Walker, J.W.2
  • 5
    • 0030491606 scopus 로고    scopus 로고
    • An approximate minimum degree ordering algorithm
    • Amestoy P., Davis T., and Duff I. An approximate minimum degree ordering algorithm. SIAM J. Matrix Anal. Appl. 17 (1996) 886-905
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 886-905
    • Amestoy, P.1    Davis, T.2    Duff, I.3
  • 6
    • 0024630993 scopus 로고
    • The evolution of the minimum degree ordering algorithm
    • George A., and Liu J.W.-H. The evolution of the minimum degree ordering algorithm. SIAM Rev. 31 (1989) 1-19
    • (1989) SIAM Rev. , vol.31 , pp. 1-19
    • George, A.1    Liu, J.W.-H.2
  • 7
    • 0022077450 scopus 로고
    • Modification of the minimum-degree algorithm by multiple elimination
    • Liu J.W.-H. Modification of the minimum-degree algorithm by multiple elimination. ACM Trans. Math. Softw. 11 2 (1985) 141-153
    • (1985) ACM Trans. Math. Softw. , vol.11 , Issue.2 , pp. 141-153
    • Liu, J.W.-H.1
  • 8
    • 44349134745 scopus 로고    scopus 로고
    • T.-Y. Chen, J.R. Gilbert, S. Toledo, Toward an efficient column minimum degree code for symmetric multiprocessors, in: Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, San-Antonio, 1999.
    • T.-Y. Chen, J.R. Gilbert, S. Toledo, Toward an efficient column minimum degree code for symmetric multiprocessors, in: Proceedings of the Ninth SIAM Conference on Parallel Processing for Scientific Computing, San-Antonio, 1999.
  • 10
    • 0033716826 scopus 로고    scopus 로고
    • Hybridizing nested dissection and halo approximate minimum degree for efficient sparse matrix ordering
    • Pellegrini F., Roman J., and Amestoy P. Hybridizing nested dissection and halo approximate minimum degree for efficient sparse matrix ordering. Concurr.: Pract. Exp. 12 (2000) 69-84
    • (2000) Concurr.: Pract. Exp. , vol.12 , pp. 69-84
    • Pellegrini, F.1    Roman, J.2    Amestoy, P.3
  • 11
    • 0028419680 scopus 로고
    • A fast multilevel implementation of recursive spectral bisection for partitioning unstructured problems
    • Barnard S.T., and Simon H.D. A fast multilevel implementation of recursive spectral bisection for partitioning unstructured problems. Concurr.: Pract. Exp. 6 2 (1994) 101-117
    • (1994) Concurr.: Pract. Exp. , vol.6 , Issue.2 , pp. 101-117
    • Barnard, S.T.1    Simon, H.D.2
  • 12
    • 44349151241 scopus 로고    scopus 로고
    • B. Hendrickson, R. Leland, A multilevel algorithm for partitioning graphs, in: Proceedings of Supercomputing, 1995.
    • B. Hendrickson, R. Leland, A multilevel algorithm for partitioning graphs, in: Proceedings of Supercomputing, 1995.
  • 13
    • 0032131147 scopus 로고    scopus 로고
    • A fast and high quality multilevel scheme for partitioning irregular graphs
    • Karypis G., and Kumar V. A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20 1 (1998) 359-392
    • (1998) SIAM J. Sci. Comput. , vol.20 , Issue.1 , pp. 359-392
    • Karypis, G.1    Kumar, V.2
  • 14
    • 84990479742 scopus 로고
    • An efficient heuristic procedure for partitioning graphs
    • Kernighan B.W., and Lin S. An efficient heuristic procedure for partitioning graphs. BELL Syst. Tech. J. (1970) 291-307
    • (1970) BELL Syst. Tech. J. , pp. 291-307
    • Kernighan, B.W.1    Lin, S.2
  • 16
    • 0032228620 scopus 로고    scopus 로고
    • Improving the runtime and quality of nested dissection ordering
    • Hendrickson B., and Rothberg E. Improving the runtime and quality of nested dissection ordering. SIAM J. Sci. Comput. 20 2 (1998) 468-489
    • (1998) SIAM J. Sci. Comput. , vol.20 , Issue.2 , pp. 468-489
    • Hendrickson, B.1    Rothberg, E.2
  • 17
    • 44349156775 scopus 로고    scopus 로고
    • G. Karypis, V. Kumar, A fast and high quality multilevel scheme for partitioning irregular graphs, Tech. Rep. 95-035, University of Minnesota, June 1995.
    • G. Karypis, V. Kumar, A fast and high quality multilevel scheme for partitioning irregular graphs, Tech. Rep. 95-035, University of Minnesota, June 1995.
  • 18
    • 44349153227 scopus 로고    scopus 로고
    • G. Karypis, V. Kumar, A coarse-grain parallel formulation of multilevel k-way graph-partitioning algorithm, in: Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997.
    • G. Karypis, V. Kumar, A coarse-grain parallel formulation of multilevel k-way graph-partitioning algorithm, in: Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997.
  • 19
    • 44349176600 scopus 로고    scopus 로고
    • G. Karypis, V. Kumar, ParMetis: Parallel Graph Partitioning and Sparse Matrix Ordering Library, University of Minnesota, August 2003.
    • G. Karypis, V. Kumar, ParMetis: Parallel Graph Partitioning and Sparse Matrix Ordering Library, University of Minnesota, August 2003.
  • 20
    • 44349125982 scopus 로고    scopus 로고
    • G. Karypis, V. Kumar, Parallel multilevel k-way partitioning scheme for irregular graphs, Tech. Rep. 96-036, University of Minnesota, May 1996.
    • G. Karypis, V. Kumar, Parallel multilevel k-way partitioning scheme for irregular graphs, Tech. Rep. 96-036, University of Minnesota, May 1996.
  • 21
    • 33750008943 scopus 로고    scopus 로고
    • C. Chevalier, F. Pellegrini, Improvement of the efficiency of genetic algorithms for scalable parallel graph partitioning in a multi-level framework, in: Proceedings of EuroPar, Dresden, LNCS, vol. 4128, 2006, pp. 243-252.
    • C. Chevalier, F. Pellegrini, Improvement of the efficiency of genetic algorithms for scalable parallel graph partitioning in a multi-level framework, in: Proceedings of EuroPar, Dresden, LNCS, vol. 4128, 2006, pp. 243-252.
  • 22
    • 44349165359 scopus 로고    scopus 로고
    • B. Hendrickson, R. Leland, The chaco user's guide, Tech. Rep. SAND93-2339, Sandia National Laboratories, November 1993.
    • B. Hendrickson, R. Leland, The chaco user's guide, Tech. Rep. SAND93-2339, Sandia National Laboratories, November 1993.
  • 23
    • 44349181144 scopus 로고    scopus 로고
    • G. Karypis, V. Kumar, MeTiS - A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices, University of Minnesota, fourth ed., September 1998.
    • G. Karypis, V. Kumar, MeTiS - A Software Package for Partitioning Unstructured Graphs, Partitioning Meshes, and Computing Fill-Reducing Orderings of Sparse Matrices, University of Minnesota, fourth ed., September 1998.
  • 25
    • 44349174581 scopus 로고    scopus 로고
    • T. Davis, University of Florida Sparse Matrix Collection. .
    • T. Davis, University of Florida Sparse Matrix Collection. .
  • 26
    • 44349106182 scopus 로고    scopus 로고
    • PARASOL project (EU ESPRIT IV LTR Project No. 20160), 1996-1999.
    • PARASOL project (EU ESPRIT IV LTR Project No. 20160), 1996-1999.
  • 27
    • 0033884893 scopus 로고    scopus 로고
    • Multifrontal parallel distributed symmetric and unsymmetric solvers
    • Special Issue on Domain Decomposition and Parallel Computing
    • Amestoy P., Duff I., and L'Excellent J.-Y. Multifrontal parallel distributed symmetric and unsymmetric solvers. Comput. Methods Appl. Mech. Eng. 184 (2000) 501-520 Special Issue on Domain Decomposition and Parallel Computing
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.184 , pp. 501-520
    • Amestoy, P.1    Duff, I.2    L'Excellent, J.-Y.3
  • 28
    • 38049150487 scopus 로고    scopus 로고
    • F. Pellegrini, A parallelisable multi-level banded diffusion scheme for computing balanced partitions with smooth boundaries, in: Proceedings of Euro-Par, Rennes, LNCS, vol. 4641, 2007, pp. 191-200. .
    • F. Pellegrini, A parallelisable multi-level banded diffusion scheme for computing balanced partitions with smooth boundaries, in: Proceedings of Euro-Par, Rennes, LNCS, vol. 4641, 2007, pp. 191-200. .
  • 29
    • 44349125981 scopus 로고    scopus 로고
    • P. Hénon, P. Ramet, J. Roman, On using an hybrid MPI-Thread programming for the implementation of a parallel sparse direct solver on a network of SMP nodes, in: Proceedings of the Sixth International Conference on Parallel Processing and Applied Mathematics, Poznan, Poland, 2005.
    • P. Hénon, P. Ramet, J. Roman, On using an hybrid MPI-Thread programming for the implementation of a parallel sparse direct solver on a network of SMP nodes, in: Proceedings of the Sixth International Conference on Parallel Processing and Applied Mathematics, Poznan, Poland, 2005.
  • 30
    • 36348998190 scopus 로고    scopus 로고
    • A parallel multistage ILU factorization based on a hierarchical graph decomposition
    • Hénon P., and Saad Y. A parallel multistage ILU factorization based on a hierarchical graph decomposition. SIAM J. Sci. Comput. 28 (2006) 2266-2293
    • (2006) SIAM J. Sci. Comput. , vol.28 , pp. 2266-2293
    • Hénon, P.1    Saad, Y.2
  • 31
    • 44349149850 scopus 로고    scopus 로고
    • On finding approximate supernodes for an efficient block ILU(k) factorization
    • Hénon P., Ramet P., and Roman J. On finding approximate supernodes for an efficient block ILU(k) factorization. Parallel Comput. 34 (2008) 345-362
    • (2008) Parallel Comput. , vol.34 , pp. 345-362
    • Hénon, P.1    Ramet, P.2    Roman, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.