메뉴 건너뛰기




Volumn 78, Issue 1, 2012, Pages 305-335

A universally fastest algorithm for Max 2-Sat, Max 2-CSP, and everything in between

Author keywords

Constraint satisfaction; Convex programming; Exponential time algorithm; Hybrid instances; Measure and conquer; Polynomial space; Satisfiability

Indexed keywords

CONSTRAINT SATISFACTION PROBLEMS; CONVEX OPTIMIZATION;

EID: 81955168094     PISSN: 00220000     EISSN: 10902724     Source Type: Journal    
DOI: 10.1016/j.jcss.2011.05.010     Document Type: Conference Paper
Times cited : (25)

References (23)
  • 4
    • 33846635384 scopus 로고    scopus 로고
    • Quasiconvex analysis of multivariate recurrence equations for backtracking algorithms
    • DOI 10.1145/1198513.1198515
    • David Eppstein Quasiconvex analysis of multivariate recurrence equations for backtracking algorithms ACM Trans. Algorithms 2 4 2006 492 509 (Pubitemid 46174058)
    • (2006) ACM Transactions on Algorithms , vol.2 , Issue.4 , pp. 492-509
    • Eppstein, D.1
  • 5
    • 70349335853 scopus 로고    scopus 로고
    • A measure & conquer approach for the analysis of exact algorithms
    • Fedor V. Fomin, Fabrizio Grandoni, and Dieter Kratsch A measure & conquer approach for the analysis of exact algorithms J. ACM 56 5 2009 1 32
    • (2009) J. ACM , vol.56 , Issue.5 , pp. 1-32
    • Fomin, F.V.1    Grandoni, F.2    Kratsch, D.3
  • 6
    • 0042014171 scopus 로고    scopus 로고
    • Worst-case upper bounds for MAX-2-SAT with an application to MAX-CUT
    • Jens Gramm, Edward A. Hirsch, Rolf Niedermeier, and Peter Rossmanith Worst-case upper bounds for MAX-2-SAT with an application to MAX-CUT Discrete Appl. Math. 130 2 2003 139 155
    • (2003) Discrete Appl. Math. , vol.130 , Issue.2 , pp. 139-155
    • Gramm, J.1    Hirsch, E.A.2    Niedermeier, R.3    Rossmanith, P.4
  • 9
    • 33244473449 scopus 로고    scopus 로고
    • A new approach to proving upper bounds for MAX-2-SAT
    • Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms
    • Arist Kojevnikov, and Alexander S. Kulikov A new approach to proving upper bounds for MAX-2-SAT Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2006) 2006 ACM 11 17 (Pubitemid 43275219)
    • (2006) Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 11-17
    • Kojevnikov, A.1    Kulikov, A.S.2
  • 12
    • 31944452759 scopus 로고    scopus 로고
    • Optimal 2-constraint satisfaction via sum-product algorithms
    • DOI 10.1016/j.ipl.2005.11.013, PII S0020019005003273
    • Mikko Koivisto Optimal 2-constraint satisfaction via sum-product algorithms Inform. Process. Lett. 98 1 2006 24 28 (Pubitemid 43199781)
    • (2006) Information Processing Letters , vol.98 , Issue.1 , pp. 24-28
    • Koivisto, M.1
  • 14
    • 0010628736 scopus 로고    scopus 로고
    • Worst-Case Analysis, 3-SAT Decision and Lower Bounds: Approaches for Improved SAT Algorithms
    • American Mathematical Society pp. 261-313
    • Oliver Kullmann Worst-Case Analysis, 3-SAT Decision and Lower Bounds: Approaches for Improved SAT Algorithms DIMACS Ser. Discrete Math. Theoret. Comput. Sci. vol. 35 1997 American Mathematical Society pp. 261-313
    • (1997) DIMACS Ser. Discrete Math. Theoret. Comput. Sci. , vol.35
    • Kullmann, O.1
  • 15
    • 0010632404 scopus 로고    scopus 로고
    • New methods for 3-SAT decision and worst-case analysis
    • PII S0304397598000176
    • Oliver Kullmann New methods for 3-SAT decision and worst-case analysis Theoret. Comput. Sci. 223 1-2 1999 1 72 (Pubitemid 129609093)
    • (1999) Theoretical Computer Science , vol.223 , Issue.1-2 , pp. 1-72
    • Kullmann, O.1
  • 16
    • 0346676595 scopus 로고    scopus 로고
    • New upper bounds for maximum satisfiability
    • Rolf Niedermeier, and Peter Rossmanith New upper bounds for maximum satisfiability J. Algorithms 36 1 2000 63 88
    • (2000) J. Algorithms , vol.36 , Issue.1 , pp. 63-88
    • Niedermeier, R.1    Rossmanith, P.2
  • 19
    • 77952656387 scopus 로고    scopus 로고
    • A faster exponential-time algorithm for Max 2-Sat, Max Cut, and Max k-Cut
    • December
    • Alexander D. Scott, Gregory B. Sorkin, A faster exponential-time algorithm for Max 2-Sat, Max Cut, and Max k-Cut, Tech. Report RC23456 (W0412-001), IBM Research Report, December 2004, see http://domino.research.ibm. com/library/cyberdig.nsf.
    • (2004) Tech. Report RC23456 (W0412-001), IBM Research Report
    • Scott, A.D.1    Sorkin, G.B.2
  • 20
    • 36448951225 scopus 로고    scopus 로고
    • Linear-programming design and analysis of fast algorithms for Max 2-CSP
    • DOI 10.1016/j.disopt.2007.08.001, PII S1572528607000205
    • Alexander D. Scott, and Gregory B. Sorkin Linear-programming design and analysis of fast algorithms for Max 2-CSP Discrete Optim. 4 3-4 2007 260 287 (Pubitemid 350167029)
    • (2007) Discrete Optimization , vol.4 , Issue.3-4 , pp. 260-287
    • Scott, A.D.1    Sorkin, G.B.2
  • 21
    • 81955166646 scopus 로고    scopus 로고
    • Polynomial constraint satisfaction: A framework for counting and sampling CSPs and other problems
    • February 2007
    • Alexander D. Scott, Gregory B. Sorkin, Polynomial constraint satisfaction: A framework for counting and sampling CSPs and other problems, Tech. Report cs:DM/0604079v3, arxiv.org, February 2007, see http://arxiv.org/ abs/cs.DM/0604079.
    • Tech. Report cs:DM/0604079v3
    • Scott, A.D.1    Sorkin, G.B.2
  • 22
    • 2442457813 scopus 로고    scopus 로고
    • Exact algorithms for finding minimum transversals in rank-3 hypergraphs
    • Magnus Wahlström Exact algorithms for finding minimum transversals in rank-3 hypergraphs J. Algorithms 51 2 2004 107 121
    • (2004) J. Algorithms , vol.51 , Issue.2 , pp. 107-121
    • Wahlström, M.1
  • 23
    • 32044459865 scopus 로고    scopus 로고
    • A new algorithm for optimal 2-constraint satisfaction and its implications
    • Ryan Williams A new algorithm for optimal 2-constraint satisfaction and its implications Theoret. Comput. Sci. 348 2-3 2005 357 365
    • (2005) Theoret. Comput. Sci. , vol.348 , Issue.23 , pp. 357-365
    • Williams, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.