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Volumn 29, Issue 3, 2006, Pages 351-398

A spectral heuristic for bisecting random graphs

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EID: 33749354643     PISSN: 10429832     EISSN: 10982418     Source Type: Journal    
DOI: 10.1002/rsa.20116     Document Type: Article
Times cited : (35)

References (39)
  • 1
    • 0001690318 scopus 로고    scopus 로고
    • A spectral technique for coloring random 3-colorable graphs
    • N. Alon and N. Kahale, A spectral technique for coloring random 3-colorable graphs, SIAM J Comput 26 (1997), 1733-1748.
    • (1997) SIAM J Comput , vol.26 , pp. 1733-1748
    • Alon, N.1    Kahale, N.2
  • 2
    • 4544250512 scopus 로고    scopus 로고
    • Expander flows, geometric embeddings and graph partitioning
    • S. Arora, S. Rao, and U. Vazirani, Expander flows, geometric embeddings and graph partitioning, Proc 36th STOC (2004), 222-231.
    • (2004) Proc 36th STOC , pp. 222-231
    • Arora, S.1    Rao, S.2    Vazirani, U.3
  • 4
    • 6344233174 scopus 로고    scopus 로고
    • Max cut for random graphs with a planted partition
    • B. Bollobás and A. D. Scott, Max cut for random graphs with a planted partition. Combinator, Probab Comput 13 (2004), 451-474.
    • (2004) Combinator, Probab Comput , vol.13 , pp. 451-474
    • Bollobás, B.1    Scott, A.D.2
  • 5
    • 0023601196 scopus 로고
    • Eigenvalues and graph bisection: An average-case analysis
    • R. Boppana, Eigenvalues and graph bisection: An average-case analysis, Proc 28th FOCS (1987), 280-285.
    • (1987) Proc 28th FOCS , pp. 280-285
    • Boppana, R.1
  • 6
    • 51249170866 scopus 로고
    • Graph bisection algorithms with good average case behavior
    • T. Bui, S. Chaudhuri, T. Leighton, and M. Sipser, Graph bisection algorithms with good average case behavior, Combinatorica 7 (1987), 171-191.
    • (1987) Combinatorica , vol.7 , pp. 171-191
    • Bui, T.1    Chaudhuri, S.2    Leighton, T.3    Sipser, M.4
  • 7
    • 65549162154 scopus 로고    scopus 로고
    • Hill-climbing finds random planted bisections
    • T. Carson and R. Impagliazzo, Hill-climbing finds random planted bisections, Proc 12th SODA (2000), 903-909.
    • (2000) Proc 12th SODA , pp. 903-909
    • Carson, T.1    Impagliazzo, R.2
  • 8
    • 79959364175 scopus 로고    scopus 로고
    • Coloring bipartite hypergraphs
    • H. Chen and A. Frieze, Coloring bipartite hypergraphs, Proc 5th IPCO (1996), 345-358.
    • (1996) Proc 5th IPCO , pp. 345-358
    • Chen, H.1    Frieze, A.2
  • 10
    • 10044223607 scopus 로고    scopus 로고
    • Techniques from combinatorial approximation algorithms yield efficient algorithms for random 2k-SAT
    • A. Coja-Oghlan, A. Goerdt, A. Lanka, and F. Schädlich, Techniques from combinatorial approximation algorithms yield efficient algorithms for random 2k-SAT, Theor Comp Sci 329 (2004). 1-45.
    • (2004) Theor Comp Sci , vol.329 , pp. 1-45
    • Coja-Oghlan, A.1    Goerdt, A.2    Lanka, A.3    Schädlich, F.4
  • 12
    • 0035580899 scopus 로고    scopus 로고
    • Algorithms for graph partitioning on the planted partition model
    • A. Condon and R. M. Karp, Algorithms for graph partitioning on the planted partition model, Random Struct Algor 18 (2001), 116-140.
    • (2001) Random Struct Algor , vol.18 , pp. 116-140
    • Condon, A.1    Karp, R.M.2
  • 13
    • 0032268329 scopus 로고    scopus 로고
    • Go with the winners for graph bisection
    • T. Dimitriou and R. Impagliazzo, Go with the winners for graph bisection, Proc 9th SODA (1998), 510-520.
    • (1998) Proc 9th SODA , pp. 510-520
    • Dimitriou, T.1    Impagliazzo, R.2
  • 14
    • 0015661138 scopus 로고
    • Lower bounds for the partitioning of a graph
    • W. E. Donath and A. J. Hoffman, Lower bounds for the partitioning of a graph, 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
  • 15
    • 0002706976 scopus 로고
    • The solution of some random NP-hard problems in polynomial expected time
    • M. Dyer and A. Frieze, The solution of some random NP-hard problems in polynomial expected time, J Algor 10 (1989), 451-489.
    • (1989) J Algor , vol.10 , pp. 451-489
    • Dyer, M.1    Frieze, A.2
  • 16
    • 0036038682 scopus 로고    scopus 로고
    • Relations between average case complexity and approximation complexity
    • U. Feige, Relations between average case complexity and approximation complexity, Proc 24th STOC (2002), 534-543.
    • (2002) Proc 24th STOC , pp. 534-543
    • Feige, U.1
  • 17
    • 0035734153 scopus 로고    scopus 로고
    • Heuristics for semirandom graph problems
    • U. Feige and J. Kilian, Heuristics for semirandom graph problems, J Comput Syst Sci 63 (2001), 639-671.
    • (2001) J Comput Syst Sci , vol.63 , pp. 639-671
    • Feige, U.1    Kilian, J.2
  • 18
    • 0036519752 scopus 로고    scopus 로고
    • A polylogarithmic approximation of the minimum bisection
    • U. Feige and J. Krauthgamer, A polylogarithmic approximation of the minimum bisection, SIAM J Comput 31 (2002), 1090-1118.
    • (2002) SIAM J Comput , vol.31 , pp. 1090-1118
    • Feige, U.1    Krauthgamer, J.2
  • 19
    • 26944482759 scopus 로고    scopus 로고
    • Spectral techniques applied to sparse random graphs
    • U. Feige and E. Ofek, Spectral techniques applied to sparse random graphs, Random Struct Algor 27 (2005), 251-275.
    • (2005) Random Struct Algor , vol.27 , pp. 251-275
    • Feige, U.1    Ofek, E.2
  • 20
    • 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
  • 22
    • 0037739992 scopus 로고    scopus 로고
    • A spectral technique for random satisfiable 3CNF formulas
    • A. Flaxman, A spectral technique for random satisfiable 3CNF formulas, Proc 14th SODA (2003), 357-363.
    • (2003) Proc 14th SODA , pp. 357-363
    • Flaxman, A.1
  • 23
    • 0024865227 scopus 로고
    • On the second eigenvalue in random regular graphs
    • J. Friedman, J. Kahn, and E. Szemerédi, On the second eigenvalue in random regular graphs, Proc 21st STOC (1989), 587-598.
    • (1989) Proc 21st STOC , pp. 587-598
    • Friedman, J.1    Kahn, J.2    Szemerédi, E.3
  • 24
    • 51249182622 scopus 로고
    • The eigenvalues of random symmetric matrices
    • Z. Füredi and J. Komloś, The eigenvalues of random symmetric matrices, Combinatorica 1 (1981), 233-241.
    • (1981) Combinatorica , vol.1 , pp. 233-241
    • Füredi, Z.1    Komloś, J.2
  • 26
    • 35048825341 scopus 로고    scopus 로고
    • On the hardness and easiness of random 4-SAT formulas
    • A. Goerdt and A. Lanka, On the hardness and easiness of random 4-SAT formulas, Proc 15th ISAAC (2004), 470-483.
    • (2004) Proc 15th ISAAC , pp. 470-483
    • Goerdt, A.1    Lanka, A.2
  • 28
    • 0038928586 scopus 로고    scopus 로고
    • The metropolis algorithm for graph bisection
    • M. Jerrum and G. Sorkin, The metropolis algorithm for graph bisection, Discr Appl Math 82 (1998), 155-175.
    • (1998) Discr Appl Math , vol.82 , pp. 155-175
    • Jerrum, M.1    Sorkin, G.2
  • 30
    • 84956976143 scopus 로고    scopus 로고
    • Approximability of the minimum bisection problem: An algorithmic challenge
    • M. Karpinski, Approximability of the minimum bisection problem: an algorithmic challenge, Proc 27th MFCS (2002), 59-67.
    • (2002) Proc 27th MFCS , pp. 59-67
    • Karpinski, M.1
  • 31
    • 17744389433 scopus 로고    scopus 로고
    • Ruling out PTAS for graph min-bisection, densest subgraph and bipartite clique
    • S. Knot, Ruling out PTAS for graph min-bisection, densest subgraph and bipartite clique, Proc 45th FOCS (2004), 136-145.
    • (2004) Proc 45th FOCS , pp. 136-145
    • Knot, S.1
  • 32
    • 0037258888 scopus 로고    scopus 로고
    • The largest eigenvalue of sparse random graphs
    • M. Krivelevich and B. Sudakov, The largest eigenvalue of sparse random graphs, Combinator Probab Comput 12 (2003), 61-72.
    • (2003) Combinator Probab Comput , vol.12 , pp. 61-72
    • Krivelevich, M.1    Sudakov, B.2
  • 33
    • 0003156650 scopus 로고
    • Expected complexity of graph partitioning problems
    • L. Kučera, Expected complexity of graph partitioning problems, Disc Appl Math 57 (1995), 193-212.
    • (1995) Disc Appl Math , vol.57 , pp. 193-212
    • Kučera, L.1
  • 35
    • 0035186726 scopus 로고    scopus 로고
    • Spectral Partitioning of Random Graphs
    • F. McSherry, Spectral Partitioning of Random Graphs, Proc 42nd FOCS (2001), 529-537.
    • (2001) Proc 42nd FOCS , pp. 529-537
    • McSherry, F.1
  • 36
    • 0000812783 scopus 로고
    • Partitioning sparse matrices with eigenvectors of graphs
    • A. Pothen, H. D. Simon, and 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
  • 37
    • 0003278278 scopus 로고    scopus 로고
    • Graph partitioning for high performance scientific simulations
    • J. Dongarra, I. Foster. G. Fox, K. Kennedy, and A. White (editors), Kaufmann.
    • K. Schloegel, G. Karypis, and V. Kumar, Graph partitioning for high performance scientific simulations, in J. Dongarra, I. Foster. G. Fox, K. Kennedy, and A. White (editors). CRPC Parallel Computation Handbook, Kaufmann. 2000.
    • (2000) CRPC Parallel Computation Handbook
    • Schloegel, K.1    Karypis, G.2    Kumar, V.3
  • 39
    • 0030381960 scopus 로고    scopus 로고
    • Spectral partitioning works: Planar graphs and finite element meshes
    • D. A. Spielman and S.-H. Teng, Spectral partitioning works: Planar graphs and finite element meshes. Proc 36th FOCS (1996), 96-105.
    • (1996) Proc 36th FOCS , pp. 96-105
    • Spielman, D.A.1    Teng, S.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.