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Volumn 19, Issue 2, 1998, Pages 325-354

Applications of the Dulmage-Mendelsohn decomposition and network flow to graph bisection improvement

Author keywords

Dulmage Mendelsohn decomposition; Graph bisection; Multisection; Nested dissection; Network flow; Ordering algorithms

Indexed keywords


EID: 0032387353     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479896308433     Document Type: Article
Times cited : (10)

References (29)
  • 1
    • 0000729339 scopus 로고
    • Compressed graphs and the minimum degree algorithm
    • C. ASHCRAFT, Compressed graphs and the minimum degree algorithm. SIAM J. Sci. Comput., 16 (1995), pp. 1404-1411.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 1404-1411
    • Ashcraft, C.1
  • 2
    • 0039893940 scopus 로고    scopus 로고
    • Using domain decomposition to find graph bisectors
    • C. ASHCRAFT AND J. LIU, Using domain decomposition to find graph bisectors, BIT, 37 (1997), pp. 506-534.
    • (1997) BIT , vol.37 , pp. 506-534
    • Ashcraft, C.1    Liu, J.2
  • 3
    • 85033912408 scopus 로고    scopus 로고
    • Robust ordering of sparse matrices using multisection
    • to appear
    • C. ASHCRAFT AND J. LIU, Robust ordering of sparse matrices using multisection, SIAM J. Matrix Anal. Appl., to appear.
    • SIAM J. Matrix Anal. Appl.
    • Ashcraft, C.1    Liu, J.2
  • 5
    • 0001494416 scopus 로고
    • A heuristic for reducing fill-in in sparse matrix factorization
    • SIAM, Philadelphia, PA
    • T. BUI AND C. JONES, A heuristic for reducing fill-in in sparse matrix factorization, in Proc. Sixth SIAM Conference on Parallel Processing, SIAM, Philadelphia, PA, 1993, pp. 445-452.
    • (1993) Proc. Sixth SIAM Conference on Parallel Processing , pp. 445-452
    • Bui, T.1    Jones, C.2
  • 8
    • 0001253634 scopus 로고
    • Coverings of bipartite graphs
    • A. DULMAGE AND N. MENDELSOHN, Coverings of bipartite graphs, Canad. J. Math, 10 (1958), pp. 517-534.
    • (1958) Canad. J. Math , vol.10 , pp. 517-534
    • Dulmage, A.1    Mendelsohn, N.2
  • 9
    • 0015330635 scopus 로고
    • Theoretical improvements in algorithmic efficiency for network flow problem
    • J. EDMONDS AND R. M. KARP, Theoretical improvements in algorithmic efficiency for network flow problem, J. ACM, 19 (1972), pp. 248-264.
    • (1972) J. ACM , vol.19 , pp. 248-264
    • Edmonds, J.1    Karp, R.M.2
  • 10
    • 0346927518 scopus 로고    scopus 로고
    • private communication, Yale University, New Haven, CT
    • S. C. EISENSTAT, private communication, Yale University, New Haven, CT, 1996.
    • (1996)
    • Eisenstat, S.C.1
  • 12
    • 0347558572 scopus 로고
    • Flow networks and combinatorial operations research
    • D. R. FULKERSON, Flow networks and combinatorial operations research, Amer. Math. Monthly, 73 (1966), pp. 115-136.
    • (1966) Amer. Math. Monthly , vol.73 , pp. 115-136
    • Fulkerson, D.R.1
  • 14
    • 84963056434 scopus 로고
    • On representatives of subsets
    • P. HALL, On representatives of subsets, J. London Math. Soc., 10 (1935), pp. 26-30.
    • (1935) J. London Math. Soc. , vol.10 , pp. 26-30
    • Hall, P.1
  • 15
    • 0003573801 scopus 로고
    • Tech. report SAND93-2339, Sandia National Laboratories, Albuquerque, NM
    • B. HENDRICKSON AND R. LELAND, The Chaco User's Guide, Tech. report SAND93-2339, Sandia National Laboratories, Albuquerque, NM, 1993.
    • (1993) The Chaco User's Guide
    • Hendrickson, B.1    Leland, R.2
  • 16
    • 0000063845 scopus 로고
    • An improved spectral graph partitioning algorithm for mapping parallel computations
    • B. HENDRICKSON AND R. LELAND, An improved spectral graph partitioning algorithm for mapping parallel computations, SIAM J. Sci. Comput., 16 (1995), pp. 452-469.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 452-469
    • Hendrickson, B.1    Leland, R.2
  • 17
    • 85033886637 scopus 로고    scopus 로고
    • Improving the runtime and quality of nested dissection ordering
    • to appear
    • B. HENDRICKSON AND E. ROTHBERG, Improving the runtime and quality of nested dissection ordering, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Hendrickson, B.1    Rothberg, E.2
  • 18
    • 0042791001 scopus 로고
    • Maximum flow in planar networks
    • A. ITAI AND Y. SHILOACH, Maximum flow in planar networks, SIAM J. Comput., 8 (1979), pp. 135-150.
    • (1979) SIAM J. Comput. , vol.8 , pp. 135-150
    • Itai, A.1    Shiloach, Y.2
  • 21
    • 84990479742 scopus 로고
    • An efficient heuristic procedure for partitioning graphs
    • B. W. KERNIGHAN AND S. LIN, An efficient heuristic procedure for partitioning graphs, Bell System Tech. J., 49 (1970), pp. 291-307.
    • (1970) Bell System Tech. J. , vol.49 , pp. 291-307
    • Kernighan, B.W.1    Lin, S.2
  • 23
  • 24
    • 0024732296 scopus 로고
    • A graph partitioning algorithm by node separators
    • J. W. H. LIU, A graph partitioning algorithm by node separators, ACM Trans. Math Software, 15 (1989), pp. 198-219.
    • (1989) ACM Trans. Math Software , vol.15 , pp. 198-219
    • Liu, J.W.H.1
  • 26
    • 0025603584 scopus 로고
    • Computing the block triangular form of a sparse, matrix
    • A. POTHEN AND C. FAN, Computing the block triangular form of a sparse, matrix, ACM Trans. Math Software, 16 (1990), pp. 303-324.
    • (1990) ACM Trans. Math Software , vol.16 , pp. 303-324
    • Pothen, A.1    Fan, C.2
  • 27
    • 0000812783 scopus 로고
    • Partitioning sparse matrices with eigenvectors of graphs
    • A. POTHEN, H. SIMON, AND K. LIOU, Partitioning sparse matrices with eigenvectors of graphs, SIAM J. Matrix Anal. Appl., 11 (1990), pp. 430-452.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , pp. 430-452
    • Pothen, A.1    Simon, H.2    Liou, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.