메뉴 건너뛰기




Volumn , Issue , 2013, Pages 1296-1305

Skew bisubmodularity and valued CSPs

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR PROGRAMMING; RATIONAL FUNCTIONS;

EID: 84876066596     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973105.94     Document Type: Conference Paper
Times cited : (10)

References (43)
  • 1
    • 26944454434 scopus 로고    scopus 로고
    • A characterization of bisubmodular functions
    • K. Ando, S. Fujishige, and T. Naitoh. A characterization of bisubmodular functions. Discrete Mathematics, 148:299-303, 1996.
    • (1996) Discrete Mathematics , vol.148 , pp. 299-303
    • Ando, K.1    Fujishige, S.2    Naitoh, T.3
  • 2
    • 84860015335 scopus 로고    scopus 로고
    • Absorbing subalgebras, cyclic terms and the constraint satisfaction problem
    • L. Barto and M. Kozik. Absorbing subalgebras, cyclic terms and the constraint satisfaction problem. Logical Methods in Computer Science, 8(1):1-26, 2012.
    • (2012) Logical Methods in Computer Science , vol.8 , Issue.1 , pp. 1-26
    • Barto, L.1    Kozik, M.2
  • 3
    • 84862624172 scopus 로고    scopus 로고
    • Robust satisfiability of constraint satisfaction problems
    • L. Barto and M. Kozik. Robust satisfiability of constraint satisfaction problems. In Proceedings of STOC' 12, pages 931-940, 2012.
    • (2012) Proceedings of STOC' 12 , pp. 931-940
    • Barto, L.1    Kozik, M.2
  • 4
    • 33745203220 scopus 로고    scopus 로고
    • A dichotomy theorem for constraint satisfaction problems on a 3-element set
    • A. Bulatov. A dichotomy theorem for constraint satisfaction problems on a 3-element set. Journal of the ACM, 53(1):66-120, 2006.
    • (2006) Journal of the ACM , vol.53 , Issue.1 , pp. 66-120
    • Bulatov, A.1
  • 5
    • 80051943600 scopus 로고    scopus 로고
    • Complexity of conservative constraint satisfaction problems
    • A. Bulatov. Complexity of conservative constraint satisfaction problems. ACM Transactions on Computational Logic, 12(4):Article 24, 2011.
    • (2011) ACM Transactions on Computational Logic , vol.12 , Issue.4 , pp. 24
    • Bulatov, A.1
  • 6
    • 20544439895 scopus 로고    scopus 로고
    • Classifying complexity of constraints using finite algebras
    • A. Bulatov, P. Jeavons, and A. Krokhin. Classifying complexity of constraints using finite algebras. SIAM Journal on Computing, 34(3):720-742, 2005.
    • (2005) SIAM Journal on Computing , vol.34 , Issue.3 , pp. 720-742
    • Bulatov, A.1    Jeavons, P.2    Krokhin, A.3
  • 7
    • 84871973115 scopus 로고    scopus 로고
    • An algebraic theory of complexity for discrete optimisation
    • Technical Report abs/1207.6692
    • D. Cohen, M. Cooper, P. Creed, P. Jeavons, and S. Živný. An algebraic theory of complexity for discrete optimisation. CoRR, Technical Report abs/1207.6692, 2012.
    • (2012) CoRR
    • Cohen, D.1    Cooper, M.2    Creed, P.3    Jeavons, P.4    Živný, S.5
  • 8
    • 33750366600 scopus 로고    scopus 로고
    • An algebraic characterisation of complexity for valued constraints
    • Proceedings of CP'06
    • D. Cohen, M. Cooper, and P. Jeavons. An algebraic characterisation of complexity for valued constraints. In Proceedings of CP'06, volume 4204 of LNCS, pages 107-121, 2006.
    • (2006) LNCS , vol.4204 , pp. 107-121
    • Cohen, D.1    Cooper, M.2    Jeavons, P.3
  • 9
    • 45049086541 scopus 로고    scopus 로고
    • Generalising submodularity and Horn clauses: Tractable optimization problems defined by tournament pair multimorphisms
    • D. Cohen, M. Cooper, and P. Jeavons. Generalising submodularity and Horn clauses: Tractable optimization problems defined by tournament pair multimorphisms. Theoretical Computer Science, 401(1):36-51, 2008.
    • (2008) Theoretical Computer Science , vol.401 , Issue.1 , pp. 36-51
    • Cohen, D.1    Cooper, M.2    Jeavons, P.3
  • 12
    • 33750042019 scopus 로고    scopus 로고
    • The complexity of constraint languages
    • F. Rossi, P. van Beek, and T. Walsh, editors, chapter 8. Elsevier
    • D. Cohen and P. Jeavons. The complexity of constraint languages. In F. Rossi, P. van Beek, and T. Walsh, editors, Handbook of Constraint Programming, chapter 8. Elsevier, 2006.
    • (2006) Handbook of Constraint Programming
    • Cohen, D.1    Jeavons, P.2
  • 15
    • 77952956808 scopus 로고    scopus 로고
    • Complexity of Constraints
    • Springer
    • N. Creignou, Ph.G. Kolaitis, and H. Vollmer, editors. Complexity of Constraints, volume 5250 of LNCS. Springer, 2008.
    • (2008) LNCS , vol.5250
    • Creignou, N.1    Kolaitis, Ph.G.2    Vollmer, H.3
  • 16
    • 0032057865 scopus 로고    scopus 로고
    • The computational structure of monotone monadic SNP and constraint satisfaction: A study through Datalog and group theory
    • T. Feder and M.Y. Vardi. The computational structure of monotone monadic SNP and constraint satisfaction: A study through Datalog and group theory. SIAM J. Comput, 28:57-104, 1998.
    • (1998) SIAM J. Comput , vol.28 , pp. 57-104
    • Feder, T.1    Vardi, M.Y.2
  • 17
    • 80053189937 scopus 로고    scopus 로고
    • Maximizing non-monotone submodular functions
    • U. Feige, V. Mirrokni, and J. Vondrák. Maximizing non-monotone submodular functions. SIAM J. Comput, 40:1133-1153, 2011.
    • (2011) SIAM J. Comput , vol.40 , pp. 1133-1153
    • Feige, U.1    Mirrokni, V.2    Vondrák, J.3
  • 19
    • 70449109815 scopus 로고    scopus 로고
    • Tractable optimization problems through hypergraph-based structural restrictions
    • G. Gottlob, L. Leone, and F. Scarcello. Tractable optimization problems through hypergraph-based structural restrictions. In Proceedings of ICALP'09, pages 16-30, 2009.
    • (2009) Proceedings of ICALP'09 , pp. 16-30
    • Gottlob, G.1    Leone, L.2    Scarcello, F.3
  • 20
    • 84865269903 scopus 로고    scopus 로고
    • Towards minimizing k-submodular functions
    • A. Huber and V. Kolmogorov. Towards minimizing k-submodular functions. In Proceedings of ISCO'12, pages 451-462, 2012.
    • (2012) Proceedings of ISCO'12 , pp. 451-462
    • Huber, A.1    Kolmogorov, V.2
  • 21
    • 70349105907 scopus 로고    scopus 로고
    • A simple combinatorial algorithm for submodular function minimization
    • S. Iwata and J. Orlin. A simple combinatorial algorithm for submodular function minimization. In Proceedings of SODA '09, pages 1230-1237, 2009.
    • (2009) Proceedings of SODA '09 , pp. 1230-1237
    • Iwata, S.1    Orlin, J.2
  • 22
    • 33750359817 scopus 로고    scopus 로고
    • The approximability of three-valued Max CSP
    • P. Jonsson, M. Klasson, and A. Krokhin. The approximability of three-valued Max CSP. SIAM J. Comput., 35(6): 1329-1349, 2006.
    • (2006) SIAM J. Comput. , vol.35 , Issue.6 , pp. 1329-1349
    • Jonsson, P.1    Klasson, M.2    Krokhin, A.3
  • 23
    • 80053009362 scopus 로고    scopus 로고
    • Min CSP on four elements: Moving beyond submodularity
    • P. Jonsson, F. Kuivinen, and J. Thapper. Min CSP on four elements: Moving beyond submodularity. In Proceedings of CP'11, pages 438-453, 2011.
    • (2011) Proceedings of CP'11 , pp. 438-453
    • Jonsson, P.1    Kuivinen, F.2    Thapper, J.3
  • 24
    • 59149084564 scopus 로고    scopus 로고
    • Introduction to the Maximum Solution problem
    • Complexity of Constraints
    • P. Jonsson and G. Nordh. Introduction to the Maximum Solution problem. In Complexity of Constraints, volume 5250 of LNCS, pages 255-282. 2008.
    • (2008) LNCS , vol.5250 , pp. 255-282
    • Jonsson, P.1    Nordh, G.2
  • 25
    • 77955244123 scopus 로고    scopus 로고
    • On the unique games conjecture
    • S. Khot. On the unique games conjecture. In Proceedings of CCC'10, pages 99-121, 2010.
    • (2010) Proceedings of CCC'10 , pp. 99-121
    • Khot, S.1
  • 26
    • 80052121484 scopus 로고    scopus 로고
    • # -convex and bisubmodular functions
    • # -convex and bisubmodular functions. In Proceedings of MFCS'11, pages 400-411, 2011.
    • (2011) Proceedings of MFCS'11 , pp. 400-411
    • Kolmogorov, V.1
  • 27
    • 84860165953 scopus 로고    scopus 로고
    • The complexity of conservative valued CSPs
    • V. Kolmogorov and S. Živný. The complexity of conservative valued CSPs. In Proceedings of SODA '12, pages 750-759, 2012.
    • (2012) Proceedings of SODA '12 , pp. 750-759
    • Kolmogorov, V.1    Živný, S.2
  • 28
    • 84876068465 scopus 로고    scopus 로고
    • The power of linear programming for valued CSPs: A constructive characterization
    • Technical Report abs/1207.7213
    • V. Kolmogorov. The power of linear programming for valued CSPs: A constructive characterization. CoRR, Technical Report abs/1207.7213, 2012.
    • (2012) CoRR
    • Kolmogorov, V.1
  • 29
    • 52249122574 scopus 로고    scopus 로고
    • Maximizing supermodular functions on product lattices, with application to maximum constraint satisfaction
    • A. Krokhin and B. Larose. Maximizing supermodular functions on product lattices, with application to maximum constraint satisfaction. SIAM J. Discr. Math., 22(1):312-328, 2008.
    • (2008) SIAM J. Discr. Math. , vol.22 , Issue.1 , pp. 312-328
    • Krokhin, A.1    Larose, B.2
  • 30
    • 79960108787 scopus 로고    scopus 로고
    • On the complexity of submodular function minimisation on diamonds
    • F. Kuivinen. On the complexity of submodular function minimisation on diamonds. Discrete Optimization, 8(3):459-477, 2011.
    • (2011) Discrete Optimization , vol.8 , Issue.3 , pp. 459-477
    • Kuivinen, F.1
  • 32
    • 0002716901 scopus 로고
    • Submodular functions and convexity
    • A. Bachern, M. Grötschel, and B. Korte, editors, Springer
    • L. Lovász. Submodular functions and convexity. In A. Bachern, M. Grötschel, and B. Korte, editors, Mathematical Programming: The State of the Art, pages 235-257. Springer, 1983.
    • (1983) Mathematical Programming: The State of the Art , pp. 235-257
    • Lovász, L.1
  • 33
    • 77954736983 scopus 로고    scopus 로고
    • Tractable hypergraph properties for constraint satisfaction and conjunctive queries
    • D. Marx. Tractable hypergraph properties for constraint satisfaction and conjunctive queries. In Proceedings of STOC' 10, pages 735-744, 2010.
    • (2010) Proceedings of STOC' 10 , pp. 735-744
    • Marx, D.1
  • 34
    • 52949135806 scopus 로고    scopus 로고
    • Submodular function minimization
    • K. Aardal, G. Nemhauser, and R. Weismantel, editors, chapter 7, Elsevier
    • S.T. McCormick. Submodular function minimization. In K. Aardal, G. Nemhauser, and R. Weismantel, editors, Handbook on Discrete Optimization, chapter 7, pages 321-391. Elsevier, 2006.
    • (2006) Handbook on Discrete Optimization , pp. 321-391
    • McCormick, S.T.1
  • 35
    • 68449099642 scopus 로고    scopus 로고
    • Strongly polynomial and fully combinatorial algorithms for bisubmodular function minimization
    • S.T. McCormick and S. Fujishige. Strongly polynomial and fully combinatorial algorithms for bisubmodular function minimization. Mathematical Programming, Ser.A, 122:87-120, 2010.
    • (2010) Mathematical Programming, Ser.A , vol.122 , pp. 87-120
    • McCormick, S.T.1    Fujishige, S.2
  • 36
    • 34250088987 scopus 로고
    • Directed submodularity, ditroids and directed submodular flows
    • L. Qi. Directed submodularity, ditroids and directed submodular flows. Mathematical Programming, 42(1-3):579-599, 1988.
    • (1988) Mathematical Programming , vol.42 , Issue.1-3 , pp. 579-599
    • Qi, L.1
  • 38
    • 0018053728 scopus 로고
    • The complexity of satisfiability problems
    • T.J. Schaefer. The complexity of satisfiability problems. In STOC'78, pages 216-226, 1978.
    • (1978) STOC'78 , pp. 216-226
    • Schaefer, T.J.1
  • 40
    • 84880277745 scopus 로고    scopus 로고
    • A dichotomy theorem for the general minimum cost homomorphism problem
    • R. Takhanov. A dichotomy theorem for the general minimum cost homomorphism problem. In Proceedings of STACS'10, pages 657-668, 2010.
    • (2010) Proceedings of STACS'10 , pp. 657-668
    • Takhanov, R.1
  • 41
    • 84871991794 scopus 로고    scopus 로고
    • The power of linear programming for valued CSPs
    • To appear; available at arXiv:1204.1079v2
    • J. Thapper and S. Živný. The power of linear programming for valued CSPs. In Proceedings of FOCS'12, 2012. To appear; available at arXiv:1204.1079v2.
    • Proceedings of FOCS'12, 2012
    • Thapper, J.1    Živný, S.2
  • 42
    • 0000348040 scopus 로고
    • Minimizing a submodular function on a lattice
    • D. Topkis. Minimizing a submodular function on a lattice. Operations Res., 26(2):305-321, 1978.
    • (1978) Operations Res. , vol.26 , Issue.2 , pp. 305-321
    • Topkis, D.1
  • 43
    • 65749118363 scopus 로고    scopus 로고
    • Graphical models, exponential families, and variational inferences
    • M.J. Wainwright and M.I. Jordan. Graphical models, exponential families, and variational inferences. Foundations and Trends in Machine Learning, 1(1-2):1-305, 2008.
    • (2008) Foundations and Trends in Machine Learning , vol.1 , Issue.1-2 , pp. 1-305
    • Wainwright, M.J.1    Jordan, M.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.