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Volumn , Issue , 2011, Pages 807-816

Approximation algorithms for submodular multiway partition

Author keywords

[No Author keywords available]

Indexed keywords

DIVIDE AND CONQUER; HYPER GRAPH; K ELEMENTS; MODULAR FUNCTIONS; MULTIWAY CUT PROBLEMS; MULTIWAY PARTITION PROBLEM; SET FUNCTION; SUBMODULAR; SYMMETRIC FUNCTIONS;

EID: 84863308335     PISSN: 02725428     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FOCS.2011.34     Document Type: Conference Paper
Times cited : (55)

References (29)
  • 1
    • 0029354779 scopus 로고
    • Recent developments in netlist partitioning: A survey
    • C. Alpert and A. Kahng, "Recent developments in netlist partitioning: A survey," Integration: the VLSI Journal, vol. 19, no. 1-2, pp. 1-81, 1995.
    • (1995) Integration: The VLSI Journal , vol.19 , Issue.1-2 , pp. 1-81
    • Alpert, C.1    Kahng, A.2
  • 3
    • 0034206424 scopus 로고    scopus 로고
    • An improved approximation algorithm for multiway cut
    • preliminary version in STOC 1998
    • G. Calinescu, H. J. Karloff, and Y. Rabani, "An improved approximation algorithm for multiway cut," Journal of Computer and System Sciences, vol. 60, no. 3, pp. 564-574, 2000, preliminary version in STOC 1998.
    • (2000) Journal of Computer and System Sciences , vol.60 , Issue.3 , pp. 564-574
    • Calinescu, G.1    Karloff, H.J.2    Rabani, Y.3
  • 4
    • 84863322824 scopus 로고    scopus 로고
    • Approximation algorithms for submodular multiway partition
    • vol. abs/1105.2048
    • C. Chekuri and A. Ene, "Approximation algorithms for submodular multiway partition," CoRR, vol. abs/1105.2048, 2011.
    • (2011) CoRR
    • Chekuri, C.1    Ene, A.2
  • 6
    • 84863327398 scopus 로고    scopus 로고
    • Submodular cost allocation problem and applications
    • vol. abs/1105.2040
    • -, "Submodular cost allocation problem and applications,"CoRR, vol. abs/1105.2040, 2011.
    • (2011) CoRR
    • Chekuri, C.1    Ene, A.2
  • 7
    • 33847635321 scopus 로고    scopus 로고
    • The steiner k-cut problem
    • C. Chekuri, S. Guha, and J. Naor, "The steiner k-cut problem,"SIAM J. Discrete Math., vol. 20, no. 1, pp. 261-271, 2006.
    • (2006) SIAM J. Discrete Math. , vol.20 , Issue.1 , pp. 261-271
    • Chekuri, C.1    Guha, S.2    Naor, J.3
  • 11
    • 0034224999 scopus 로고    scopus 로고
    • A lower bound of 8/(7+1/(k-1)) on the integrality ratio of the calinescu-karloff-rabani relaxation for multiway cut
    • A. Freund and H. J. Karloff, "A lower bound of 8/(7+1/(k-1)) on the integrality ratio of the calinescu-karloff-rabani relaxation for multiway cut," Information Processing Letters, vol. 75, no. 1-2, pp. 43-50, 2000.
    • (2000) Information Processing Letters , vol.75 , Issue.1-2 , pp. 43-50
    • Freund, A.1    Karloff, H.J.2
  • 13
    • 84937566016 scopus 로고
    • Multiway cuts in directed and node weighted graphs
    • ICALP, ser. S. Abiteboul and E. Shamir, Eds., Springer
    • N. Garg, V. V. Vazirani, and M. Yannakakis, "Multiway cuts in directed and node weighted graphs," in ICALP, ser. Lecture Notes in Computer Science, S. Abiteboul and E. Shamir, Eds., vol. 820. Springer, 1994, pp. 487-498.
    • (1994) Lecture Notes in Computer Science , vol.820 , pp. 487-498
    • Garg, N.1    Vazirani, V.V.2    Yannakakis, M.3
  • 18
    • 5544261007 scopus 로고    scopus 로고
    • Rounding algorithms for a geometric embedding of minimum multiway cut
    • preliminary version in STOC 1999
    • D. R. Karger, P. N. Klein, C. Stein, M. Thorup, and N. E. Young, "Rounding algorithms for a geometric embedding of minimum multiway cut," Mathematics of Operations Research, vol. 29, no. 3, pp. 436-461, 2004, preliminary version in STOC 1999.
    • (2004) Mathematics of Operations Research , vol.29 , Issue.3 , pp. 436-461
    • Karger, D.R.1    Klein, P.N.2    Stein, C.3    Thorup, M.4    Young, N.E.5
  • 19
    • 70349100783 scopus 로고    scopus 로고
    • Maximizing submodular set functions subject to multiple linear constraints
    • C. Mathieu, Ed. SIAM
    • A. Kulik, H. Shachnai, and T. Tamir, "Maximizing submodular set functions subject to multiple linear constraints," in SODA, C. Mathieu, Ed. SIAM, 2009, pp. 545-554.
    • (2009) SODA , pp. 545-554
    • Kulik, A.1    Shachnai, H.2    Tamir, T.3
  • 20
    • 77950839540 scopus 로고    scopus 로고
    • Maximizing nonmonotone submodular functions under matroid or knapsack constraints
    • J. Lee, V. S. Mirrokni, V. Nagarajan, and M. Sviridenko, "Maximizing nonmonotone submodular functions under matroid or knapsack constraints," SIAM J. Discrete Math., vol. 23, no. 4, pp. 2053-2078, 2010.
    • (2010) SIAM J. Discrete Math. , vol.23 , Issue.4 , pp. 2053-2078
    • Lee, J.1    Mirrokni, V.S.2    Nagarajan, V.3    Sviridenko, M.4
  • 22
    • 78650217687 scopus 로고    scopus 로고
    • Divide-and-conquer algorithms for partitioning hypergraphs and submodular systems
    • preliminary version in ISAAC 2009. [Online]. Available
    • K. Okumoto, T. Fukunaga, and H. Nagamochi, "Divide-and-conquer algorithms for partitioning hypergraphs and submodular systems," Algorithmica, pp. 1-20, 2010, preliminary version in ISAAC 2009. [Online]. Available: http://dx.doi.org/10.1007/s00453-010-9483-0
    • (2010) Algorithmica , pp. 1-20
    • Okumoto, K.1    Fukunaga, T.2    Nagamochi, H.3
  • 25
    • 57049187237 scopus 로고    scopus 로고
    • Optimal approximation for the submodular welfare problem in the value oracle model
    • J. Vondrák, "Optimal approximation for the submodular welfare problem in the value oracle model," in ACM Symposium on Theory of Computing (STOC), 2008, pp. 67-74.
    • (2008) ACM Symposium on Theory of Computing (STOC) , pp. 67-74
    • Vondrák, J.1
  • 27
    • 84863311563 scopus 로고    scopus 로고
    • Personal Communication, May
    • J. Vondrák, Personal Communication, May 2011.
    • (2011)
    • Vondrák, J.1
  • 28
    • 79959922194 scopus 로고    scopus 로고
    • Finding minimum 3-way cuts in hypergraphs
    • preliminary version in TAMC 2008
    • M. Xiao, "Finding minimum 3-way cuts in hypergraphs, "Information Processing Letters, vol. 110, no. 14-15, pp. 554-558, 2010, preliminary version in TAMC 2008.
    • (2010) Information Processing Letters , vol.110 , Issue.14-15 , pp. 554-558
    • Xiao, M.1
  • 29
    • 12444255211 scopus 로고    scopus 로고
    • Greedy splitting algorithms for approximating multiway partition problems
    • DOI 10.1007/s10107-004-0510-2
    • L. Zhao, H. Nagamochi, and T. Ibaraki, "Greedy splitting algorithms for approximating multiway partition problems,"Mathematical Programming, vol. 102, no. 1, pp. 167-183, 2005. (Pubitemid 40141835)
    • (2005) Mathematical Programming , vol.102 , Issue.1 , pp. 167-183
    • Zhao, L.1    Nagamochi, H.2    Ibaraki, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.