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Volumn 90, Issue 1-3, 1999, Pages 3-26

Spectral partitioning with multiple eigenvectors

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EID: 0002334967     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-218X(98)00083-3     Document Type: Article
Times cited : (151)

References (42)
  • 2
    • 0029408448 scopus 로고
    • Multi-way partitioning via geometric embeddings, orderings, and dynamic programming
    • C.J. Alpert, A.B. Kahng, Multi-way partitioning via geometric embeddings, orderings, and dynamic programming, IEEE Trans. CAD 14 (1995) 1342-1358.
    • (1995) IEEE Trans. CAD , vol.14 , pp. 1342-1358
    • Alpert, C.J.1    Kahng, A.B.2
  • 4
    • 0029354779 scopus 로고
    • Recent developments in netlist partitioning: A survey
    • C.J. Alpert, A.B. Kahng, Recent developments in netlist partitioning: a survey, Integration: the VLSI J. 19 (1995) 1-81.
    • (1995) Integration: The VLSI J. , vol.19 , pp. 1-81
    • Alpert, C.J.1    Kahng, A.B.2
  • 7
    • 0028419680 scopus 로고
    • A fast multilevel implementation of recursive spectral bisection for partitioning unstructured problems
    • S.T. Barnard, H.D. Simon, A fast multilevel implementation of recursive spectral bisection for partitioning unstructured problems, Concurrency: Practice and Experience 6 (1994) 101-117.
    • (1994) Concurrency: Practice and Experience , vol.6 , pp. 101-117
    • Barnard, S.T.1    Simon, H.D.2
  • 8
    • 0001259868 scopus 로고
    • An algorithm for partitioning the nodes of a graph
    • E.R. Barnes, An algorithm for partitioning the nodes of a graph, Siam J. Alg. Disc. Meth. 3 (1982) 541-549.
    • (1982) Siam J. Alg. Disc. Meth. , vol.3 , pp. 541-549
    • Barnes, E.R.1
  • 9
    • 0001484426 scopus 로고
    • An new heuristic for partitioning the nodes of a graph
    • E.R. Barnes, A. Vannelli, J.Q. Walker, An new heuristic for partitioning the nodes of a graph, Siam J. Dicrete Math. 3 (1988) 299-305.
    • (1988) Siam J. Dicrete Math. , vol.3 , pp. 299-305
    • Barnes, E.R.1    Vannelli, A.2    Walker, J.Q.3
  • 10
    • 0021133826 scopus 로고
    • The indefinite zero-one quadratic problem
    • M. Carter, The indefinite zero-one quadratic problem. Discrete Appl. Math. 7 (1984) 23-44.
    • (1984) Discrete Appl. Math. , vol.7 , pp. 23-44
    • Carter, M.1
  • 11
    • 0028500314 scopus 로고
    • Spectral k-way ratio cut partitioning and clustering
    • P.K. Chan, M.D.F. Schlag, J. Zien, Spectral k-way ratio cut partitioning and clustering, IEEE Trans. CAD (1994) 1088-1096.
    • (1994) IEEE Trans. CAD , pp. 1088-1096
    • Chan, P.K.1    Schlag, M.D.F.2    Zien, J.3
  • 13
    • 0016624432 scopus 로고
    • The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices
    • North-Holland, Amsterdam
    • J. Cullum, W.E. Donath, P. Wolfe, The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices, Mathematical Programming Study vol. 3, North-Holland, Amsterdam, 1975, pp. 35-55.
    • (1975) Mathematical Programming Study , vol.3 , pp. 35-55
    • Cullum, J.1    Donath, W.E.2    Wolfe, P.3
  • 14
    • 0010903176 scopus 로고
    • The performance of an eigenvalue bound on the max-cut problem in some classes of graphs
    • C. Delorme, S. Poljak, The performance of an eigenvalue bound on the max-cut problem in some classes of graphs, Discrete Math. 111 (1991) 145-156.
    • (1991) Discrete Math. , vol.111 , pp. 145-156
    • Delorme, C.1    Poljak, S.2
  • 15
    • 34250080270 scopus 로고
    • Laplacian eigenvalues and the maximum cut problem
    • C. Delorme, S. Poljak, Laplacian eigenvalues and the maximum cut problem, Math. Program. 62 (1993) 557-574.
    • (1993) Math. Program. , vol.62 , pp. 557-574
    • Delorme, C.1    Poljak, S.2
  • 17
    • 0015661138 scopus 로고
    • Lower bounds for the partitioning of graphs
    • W.E. Donath, A.J. Hoffman, Lower bounds for the partitioning of graphs, IBM J. Res. Dev. 17 (1973) 420-425.
    • (1973) IBM J. Res. Dev. , vol.17 , pp. 420-425
    • Donath, W.E.1    Hoffman, A.J.2
  • 18
    • 0028767591 scopus 로고
    • A computational study of graph partitioning
    • J. Falkner, F. Rendl, H. Wolkowicz, A computational study of graph partitioning, Math. Programm. 66 (1994) 211-239.
    • (1994) Math. Programm. , vol.66 , pp. 211-239
    • Falkner, J.1    Rendl, F.2    Wolkowicz, H.3
  • 19
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • M. Fiedler, Algebraic connectivity of graphs, Czech. Math. J. 23 (1973) 298-305.
    • (1973) Czech. Math. J. , vol.23 , pp. 298-305
    • Fiedler, M.1
  • 23
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • M.X. Goemans, D.P. Williamson, Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming, J. ACM 42 (1995) 1115-1145.
    • (1995) J. ACM , vol.42 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 26
    • 0026925324 scopus 로고
    • New spectral methods for ratio cut partitioning and clustering
    • L. Hagen, A.B. Kahng, New spectral methods for ratio cut partitioning and clustering, IEEE Trans. CAD 11 (1992) 1074-1085.
    • (1992) IEEE Trans. CAD , vol.11 , pp. 1074-1085
    • Hagen, L.1    Kahng, A.B.2
  • 27
    • 0026896810 scopus 로고
    • An efficient eigenvector approach for finding netlist partitions
    • S.W. Hadley, B.L. Mark, A. Vannelli, An efficient eigenvector approach for finding netlist partitions, IEEE Trans. CAD 11 (1992) 885-892.
    • (1992) IEEE Trans. CAD , vol.11 , pp. 885-892
    • Hadley, S.W.1    Mark, B.L.2    Vannelli, A.3
  • 28
    • 0014869120 scopus 로고
    • An r-dimensional quadratic placement algorithm
    • K.M. Hall, An r-dimensional quadratic placement algorithm, Mngnt. Sci. 17 (1970) 219-229.
    • (1970) Mngnt. Sci. , vol.17 , pp. 219-229
    • Hall, K.M.1
  • 30
    • 0000063845 scopus 로고
    • An improved spectral graph partitioning algorithm for mapping parallel computations
    • B. Hendrickson, R. Leland, An improved spectral graph partitioning algorithm for mapping parallel computations, SIAM J. Scci. Comput. 16 (1995) 452-69.
    • (1995) SIAM J. Scci. Comput. , vol.16 , pp. 452-469
    • Hendrickson, B.1    Leland, R.2
  • 32
    • 0007071645 scopus 로고
    • Modeling hypergraphs by graphs with the same mincut properties
    • E. Ihler, D. Wagner, F. Wagner, Modeling hypergraphs by graphs with the same mincut properties, Inform. Process. Lett. 45 (1993) 171-175.
    • (1993) Inform. Process. Lett. , vol.45 , pp. 171-175
    • Ihler, E.1    Wagner, D.2    Wagner, F.3
  • 36
    • 0039314765 scopus 로고
    • Solving the max-cut problem using eigenvalues
    • S. Poljak, F. Rendl, Solving the max-cut problem using eigenvalues, Discrete Appl. Math. 62 (1995) 249-278.
    • (1995) Discrete Appl. Math. , vol.62 , pp. 249-278
    • Poljak, S.1    Rendl, F.2
  • 37
    • 0000812783 scopus 로고
    • Partitioning sparse matrices with eigenvectors of graphs
    • A. Pothen, H.D. Simon, K.P. Liou, Partitioning sparse matrices with eigenvectors of graphs, SIAM J. Matrix Anal. Appl. 11 (1990) 430-452.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , pp. 430-452
    • Pothen, A.1    Simon, H.D.2    Liou, K.P.3
  • 38
    • 21844490712 scopus 로고
    • A projection technique for partitioning the nodes of a graph
    • F. Rendl, H. Wolkowicz, A projection technique for partitioning the nodes of a graph, Ann. Oper. Res. 58 (1995) 155-179.
    • (1995) Ann. Oper. Res. , vol.58 , pp. 155-179
    • Rendl, F.1    Wolkowicz, H.2
  • 40
    • 0041476423 scopus 로고
    • Technical Report, University of Texas, Austin, TX
    • D.S. Scott, LASO2 documentation, Technical Report, University of Texas, Austin, TX, 1980.
    • (1980) LASO2 Documentation
    • Scott, D.S.1
  • 42
    • 0026153946 scopus 로고
    • A unified approach to partitioning and placement
    • R.-S. Tsay, E.S. Kuh, A unified approach to partitioning and placement, IEEE Trans. Circuits Systems 38 (1991) 521-533.
    • (1991) IEEE Trans. Circuits Systems , vol.38 , pp. 521-533
    • Tsay, R.-S.1    Kuh, E.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.