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Volumn 18, Issue 3, 2004, Pages 488-500

Finding large independent sets in graphs and hypergraphs

Author keywords

Independent sets; Parallel algorithms; Randomized algorithms

Indexed keywords

HYPERGRAPHS; INDEPENDENT SETS; PARALLEL COMBINATORIAL OPTIMIZATION; RANDOMIZED ALGORITHMS;

EID: 23844475813     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480102419731     Document Type: Article
Times cited : (17)

References (28)
  • 1
    • 0001011699 scopus 로고
    • A fast and simple randomized parallel algorithm for the maximal independent set problem
    • N. ALON, L. BABAI, AND A. ITAI, A fast and simple randomized parallel algorithm for the maximal independent set problem, J. Algorithms, 7 (1986), pp. 567-583.
    • (1986) J. Algorithms , vol.7 , pp. 567-583
    • Alon, N.1    Babai, L.2    Itai, A.3
  • 3
    • 0003496273 scopus 로고
    • Parallel search for maximal independence given minimal dependence
    • ACM, New York, SIAM, Philadelphia
    • P. BEAME AND M. LUBY, Parallel search for maximal independence given minimal dependence, in Proceedings of the ACM-SIAM Symposium on Discrete Algorithms, ACM, New York, SIAM, Philadelphia, 1990, pp. 212-218.
    • (1990) Proceedings of the ACM-SIAM Symposium on Discrete Algorithms , pp. 212-218
    • Beame, P.1    Luby, M.2
  • 5
    • 0003563933 scopus 로고
    • Improved lower bounds on k-independence
    • Y. CARO AND Z. TUZA, Improved lower bounds on k-independence, J. Graph Theory, 15 (1991), pp. 99-107.
    • (1991) J. Graph Theory , vol.15 , pp. 99-107
    • Caro, Y.1    Tuza, Z.2
  • 6
    • 0026898910 scopus 로고
    • An efficient parallel algorithm for computing a maximal independent set in a hypergraph of dimension 3
    • E. DAHLHAUS, M. KARPINSKI, AND P. KELSEN, An efficient parallel algorithm for computing a maximal independent set in a hypergraph of dimension 3, Inform. Process. Lett., 42 (1992), pp. 309-314.
    • (1992) Inform. Process. Lett. , vol.42 , pp. 309-314
    • Dahlhaus, E.1    Karpinski, M.2    Kelsen, P.3
  • 7
    • 0002748055 scopus 로고
    • Correlational inequalities for partially ordered sets
    • C. M. FORTUIN, J. GINIBRE, AND P. N. KASTELEYN, Correlational inequalities for partially ordered sets, Comm. Math. Phys., 22 (1971), pp. 89-103.
    • (1971) Comm. Math. Phys. , vol.22 , pp. 89-103
    • Fortuin, C.M.1    Ginibre, J.2    Kasteleyn, P.N.3
  • 8
    • 0024647483 scopus 로고
    • A new parallel algorithm for the maximal independent set problem
    • M. GOLDBERG AND T. SPENCER, A new parallel algorithm for the maximal independent set problem, SIAM J. Comput., 18 (1989), pp. 419-427.
    • (1989) SIAM J. Comput. , vol.18 , pp. 419-427
    • Goldberg, M.1    Spencer, T.2
  • 9
    • 0003496904 scopus 로고
    • An efficient parallel algorithm that finds independent sets of guaranteed size
    • M. GOLDBERG AND T. SPENCER, An efficient parallel algorithm that finds independent sets of guaranteed size, SIAM J. Discrete Math., 6 (1993), pp. 443-459.
    • (1993) SIAM J. Discrete Math. , vol.6 , pp. 443-459
    • Goldberg, M.1    Spencer, T.2
  • 10
    • 0003496275 scopus 로고
    • Oxford University Press, Oxford, UK
    • M. HOFRI, Analysis of Algorithms, Oxford University Press, Oxford, UK, 1995.
    • (1995) Analysis of Algorithms
    • Hofri, M.1
  • 11
    • 0032777414 scopus 로고    scopus 로고
    • A small approximately min-wise independent family of hash functions
    • ACM, New York, SIAM, Philadelphia
    • P. INDYK, A small approximately min-wise independent family of hash functions, in Proceedings of the ACM-SIAM Symposium on Discrete Algorithms, ACM, New York, SIAM, Philadelphia, 1999, pp. 454-456.
    • (1999) Proceedings of the ACM-SIAM Symposium on Discrete Algorithms , pp. 454-456
    • Indyk, P.1
  • 12
    • 0031339396 scopus 로고    scopus 로고
    • (De)randomized construction of small sample spaces in NC
    • D. R. KARGER AND D. KOLLER, (De)randomized construction of small sample spaces in NC, J. Comput. System Sci., 55 (1997), pp. 402-413.
    • (1997) J. Comput. System Sci. , vol.55 , pp. 402-413
    • Karger, D.R.1    Koller, D.2
  • 13
    • 0002065879 scopus 로고
    • Parallel algorithms for shared memory machines
    • J. van Leeuwen, ed., Elsevier, New York
    • R. M. KARP AND V. RAMACHANDRAN, Parallel algorithms for shared memory machines, in Handbook of Theoretical Computer Science, Volume A, J. van Leeuwen, ed., Elsevier, New York, 1990, pp. 871-941.
    • (1990) Handbook of Theoretical Computer Science , vol.A , pp. 871-941
    • Karp, R.M.1    Ramachandran, V.2
  • 15
    • 0022146483 scopus 로고
    • A fast parallel algorithm for the maximal independent set problem
    • R. M. KARP AND A. WIGDERSON, A fast parallel algorithm for the maximal independent set problem, JACM, 32 (1985), pp. 762-773.
    • (1985) JACM , vol.32 , pp. 762-773
    • Karp, R.M.1    Wigderson, A.2
  • 16
    • 0026971186 scopus 로고
    • On the parallel complexity of computing a maximal independent set in a hypergraph
    • ACM, New York
    • P. KELSEN, On the parallel complexity of computing a maximal independent set in a hypergraph, in Proceedings of the ACM Symposium on Theory of Computing, ACM, New York, 1992, pp. 339-350.
    • (1992) Proceedings of the ACM Symposium on Theory of Computing , pp. 339-350
    • Kelsen, P.1
  • 17
    • 0022807929 scopus 로고
    • A simple parallel algorithm for the maximal independent set problem
    • M. LUBY, A simple parallel algorithm for the maximal independent set problem, SIAM J. Comput., 15 (1986), pp. 1036-1053.
    • (1986) SIAM J. Comput. , vol.15 , pp. 1036-1053
    • Luby, M.1
  • 18
    • 0003652460 scopus 로고    scopus 로고
    • A parallel randomized algorithm for finding a maximal independent set in a linear hypergraph
    • T. LUCZAK AND E. SZYMAŃSKA, A parallel randomized algorithm for finding a maximal independent set in a linear hypergraph, J. Algorithms, 25 (1997), pp. 311-320.
    • (1997) J. Algorithms , vol.25 , pp. 311-320
    • Luczak, T.1    Szymańska, E.2
  • 19
    • 0028201658 scopus 로고
    • Performance limits for channelized cellular telephone systems
    • R. J. MCELIECE AND K. N. SlVARAJAN, Performance limits for channelized cellular telephone systems, IEEE Trans. Inform. Theory, 40 (1994), pp. 21-34.
    • (1994) IEEE Trans. Inform. Theory , vol.40 , pp. 21-34
    • Mceliece, R.J.1    Slvarajan, K.N.2
  • 20
    • 0005258733 scopus 로고    scopus 로고
    • Solving some discrepancy problems in NC
    • S. MAHAJAN, E. A. RAMOS, AND K. V. SUBRAHMANYAM, Solving some discrepancy problems in NC, Algorithmica, 29 (2001), pp. 371-395.
    • (2001) Algorithmica , vol.29 , pp. 371-395
    • Mahajan, S.1    Ramos, E.A.2    Subrahmanyam, K.V.3
  • 22
    • 0000947929 scopus 로고
    • Pseudorandom generators for space-bounded computation
    • N. NISAN, Pseudorandom generators for space-bounded computation, Combinatorica, 12 (1992), pp. 449-461.
    • (1992) Combinatorica , vol.12 , pp. 449-461
    • Nisan, N.1
  • 26
    • 0009006930 scopus 로고
    • A Tribute to Paul Erdos, A. Baker, B. Bollobás, and A. Hajnal, eds., Cambridge University Press, Cambridge, UK
    • J. H. SPENCER, The probabilistic lens: Sperner, Turán and Brégman revisited, in A Tribute to Paul Erdos, A. Baker, B. Bollobás, and A. Hajnal, eds., Cambridge University Press, Cambridge, UK, 1990, pp. 391-396.
    • (1990) The Probabilistic Lens: Sperner, Turán and Brégman Revisited , pp. 391-396
    • Spencer, J.H.1
  • 28
    • 0003496906 scopus 로고
    • On the theory of graphs
    • P. TURÁN, On the theory of graphs, Colloq. Math., 3 (1954), pp. 19-30.
    • (1954) Colloq. Math. , vol.3 , pp. 19-30
    • Turán, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.