메뉴 건너뛰기




Volumn 5250 LNCS, Issue , 2008, Pages 68-92

Recent results on the algebraic approach to the CSP

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC APPROACHES; ALGEBRAIC FRAMEWORKS; CONSTRAINT SATISFACTION PROBLEMS;

EID: 59149098893     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-92800-3_4     Document Type: Conference Paper
Times cited : (62)

References (40)
  • 1
    • 26844575981 scopus 로고    scopus 로고
    • Allender, E., Bauland, M., Immerman, N., Schnoor, H., Vollmer, H.: The complexity of satisfiability problems: Refining schaefer's theorem. In: Jedrzejowicz, J., Szepietowski, A. (eds.) MFCS 2005. LNCS, 3618, pp. 71-82. Springer, Heidelberg (2005)
    • Allender, E., Bauland, M., Immerman, N., Schnoor, H., Vollmer, H.: The complexity of satisfiability problems: Refining schaefer's theorem. In: Jedrzejowicz, J., Szepietowski, A. (eds.) MFCS 2005. LNCS, vol. 3618, pp. 71-82. Springer, Heidelberg (2005)
  • 3
    • 0007345429 scopus 로고    scopus 로고
    • Berman, J.D., Kiss, E.W., Pröhle, P., Szendrei, 'A.: The set of types of a finitely generated variety. Discrete Math. 112(1-3), 1-20 (1993)
    • Berman, J.D., Kiss, E.W., Pröhle, P., Szendrei, 'A.: The set of types of a finitely generated variety. Discrete Math. 112(1-3), 1-20 (1993)
  • 4
    • 0001751467 scopus 로고
    • Polynomial interpolation and the chinese remainder theorem
    • Baker, K.A., Pixley, A.F.: Polynomial interpolation and the chinese remainder theorem. Mathematische Zeitschrift 143, 165-174 (1975)
    • (1975) Mathematische Zeitschrift , vol.143 , pp. 165-174
    • Baker, K.A.1    Pixley, A.F.2
  • 5
    • 0012680913 scopus 로고    scopus 로고
    • Mal'tsev constraints are tractable
    • Technical Report PRG-RR-02- 05, Computing Laboratory, University of Oxford, Oxford, UK
    • Bulatov, A.A.: Mal'tsev constraints are tractable. Technical Report PRG-RR-02- 05, Computing Laboratory, University of Oxford, Oxford, UK (2002)
    • (2002)
    • Bulatov, A.A.1
  • 6
    • 33645881368 scopus 로고    scopus 로고
    • Combinatorial problems raised from 2-semilattices
    • Bulatov, A.A.: Combinatorial problems raised from 2-semilattices. Journal of Algebra 298(2), 321-339 (2006)
    • (2006) Journal of Algebra , vol.298 , Issue.2 , pp. 321-339
    • Bulatov, A.A.1
  • 7
    • 0012738063 scopus 로고    scopus 로고
    • Tractable constraints closed under a binary operation
    • Technical Report PRG-TR-12-00, Computing Laboratory, University of Oxford, Oxford, UK
    • Bulatov, A.A., Jeavons, P.G.: Tractable constraints closed under a binary operation. Technical Report PRG-TR-12-00, Computing Laboratory, University of Oxford, Oxford, UK (2000)
    • (2000)
    • Bulatov, A.A.1    Jeavons, P.G.2
  • 8
    • 0012690026 scopus 로고    scopus 로고
    • Algebraic structures in combinatorial problems
    • Technical Report MATH-AL-4-2001, Technische universität Dresden, Dresden, Germany
    • Bulatov, A.A., Jeavons, P.G.: Algebraic structures in combinatorial problems. Technical Report MATH-AL-4-2001, Technische universität Dresden, Dresden, Germany (2001), http://web.comlab.ox.ac.uk/oucl/research/areas/ constraints/publications/index.html
    • (2001)
    • Bulatov, A.A.1    Jeavons, P.G.2
  • 9
    • 4544379854 scopus 로고    scopus 로고
    • Finite semigroups imposing tractable constraints
    • Gomes, G.M.S, Pin, J.-E, Silva, P.V, eds, World Scientific, Singapore
    • Bulatov, A.A., Jeavons, P.G., Volkov, M.V.: Finite semigroups imposing tractable constraints. In: Gomes, G.M.S., Pin, J.-E., Silva, P.V. (eds.) Semigroups, Algorithms, Automata and Languages, pp. 313-329. World Scientific, Singapore (2002)
    • (2002) Semigroups, Algorithms, Automata and Languages , pp. 313-329
    • Bulatov, A.A.1    Jeavons, P.G.2    Volkov, M.V.3
  • 10
    • 4544387494 scopus 로고    scopus 로고
    • Bulatov, A.A.: A graph of a relational structure and constraint satisfaction problems. In: LICS, pp. 448-457 (2004)
    • Bulatov, A.A.: A graph of a relational structure and constraint satisfaction problems. In: LICS, pp. 448-457 (2004)
  • 11
    • 27844585472 scopus 로고    scopus 로고
    • H-coloring dichotomy revisited
    • Bulatov, A.A.: H-coloring dichotomy revisited. Theor. Comput. Sci. 349(1), 31-39 (2005)
    • (2005) Theor. Comput. Sci , vol.349 , Issue.1 , pp. 31-39
    • Bulatov, A.A.1
  • 12
    • 33745203220 scopus 로고    scopus 로고
    • A dichotomy theorem for constraint satisfaction problems on a 3- element set
    • Bulatov, A.A.: A dichotomy theorem for constraint satisfaction problems on a 3- element set. J. ACM 53(1), 66-120 (2006)
    • (2006) J. ACM , vol.53 , Issue.1 , pp. 66-120
    • Bulatov, A.A.1
  • 13
    • 33750059981 scopus 로고    scopus 로고
    • A simple algorithm for Mal'tsev constraints
    • Bulatov, A.A., Dalmau, V.: A simple algorithm for Mal'tsev constraints. SIAM J. Comput. 36(1), 16-27 (2006)
    • (2006) SIAM J. Comput , vol.36 , Issue.1 , pp. 16-27
    • Bulatov, A.A.1    Dalmau, V.2
  • 14
    • 20544439895 scopus 로고    scopus 로고
    • Classifying the complexity of constraints using finite algebras
    • Bulatov, A.A., Jeavons, P., Krokhin, A.A.: Classifying the complexity of constraints using finite algebras. SIAM J. Comput. 34(3), 720-742 (2005)
    • (2005) SIAM J. Comput , vol.34 , Issue.3 , pp. 720-742
    • Bulatov, A.A.1    Jeavons, P.2    Krokhin, A.A.3
  • 15
    • 38049058216 scopus 로고    scopus 로고
    • Affine systems of equations and counting infinitary logic
    • Arge, L, Cachin, C, Jurdzi'nski, T, Tarlecki, A, eds, ICALP 2007, Springer, Heidelberg
    • Atserias, A., Bulatov, A., Dawar, A.: Affine systems of equations and counting infinitary logic. In: Arge, L., Cachin, C., Jurdzi'nski, T., Tarlecki, A. (eds.) ICALP 2007. LNCS, vol. 4596. Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4596
    • Atserias, A.1    Bulatov, A.2    Dawar, A.3
  • 16
    • 59149099890 scopus 로고    scopus 로고
    • Dualities for Constraint Satisfaction Problems
    • Creignou, N, Kolaitis, P, Vollmer, H, eds, Complexity of Constraints, Springer, Heidelberg
    • Bulatov, A.A., Krokhin, A.A., Larose, B.: Dualities for Constraint Satisfaction Problems. In: Creignou, N., Kolaitis, P., Vollmer, H. (eds.) Complexity of Constraints. LNCS, vol. 5250, pp. 93-124. Springer, Heidelberg (2008)
    • (2008) LNCS , vol.5250 , pp. 93-124
    • Bulatov, A.A.1    Krokhin, A.A.2    Larose, B.3
  • 18
    • 25444470460 scopus 로고    scopus 로고
    • The expressive rate of constraints
    • Chen, H.: The expressive rate of constraints. Ann. Math. Artif. Intell. 44(4), 341- 352 (2005)
    • (2005) Ann. Math. Artif. Intell , vol.44 , Issue.4 , pp. 341-352
    • Chen, H.1
  • 19
    • 59149103827 scopus 로고    scopus 로고
    • Clasen, M., Valeriote, M.: Tame congruence theory. In: Lectures on algebraic model theory. Fields Inst. Monogr., 15, pp. 67-111. Amer. Math. Soc., Providence (2002)
    • Clasen, M., Valeriote, M.: Tame congruence theory. In: Lectures on algebraic model theory. Fields Inst. Monogr., vol. 15, pp. 67-111. Amer. Math. Soc., Providence (2002)
  • 20
    • 17444377560 scopus 로고    scopus 로고
    • A new tractable class of constraint satisfaction problems
    • Dalmau, V.: A new tractable class of constraint satisfaction problems. Annals of Mathematics and Artificial Intelligence 44(1-2), 61-85 (2005)
    • (2005) Annals of Mathematics and Artificial Intelligence , vol.44 , Issue.1-2 , pp. 61-85
    • Dalmau, V.1
  • 21
  • 22
    • 26844580907 scopus 로고    scopus 로고
    • Dalmau, V.: Generalized majority-minority operations are tractable. In: LICS, pp. 438-447 (2005)
    • Dalmau, V.: Generalized majority-minority operations are tractable. In: LICS, pp. 438-447 (2005)
  • 23
    • 33646244018 scopus 로고    scopus 로고
    • Dalmau, V., Gavaldà, R., Tesson, P., Th'erien, D.: Tractable clones of polynomials over semigroups. In: van Beek, P. (ed.) CP 2005. LNCS, 3709, pp. 196-210. Springer, Heidelberg (2005)
    • Dalmau, V., Gavaldà, R., Tesson, P., Th'erien, D.: Tractable clones of polynomials over semigroups. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, pp. 196-210. Springer, Heidelberg (2005)
  • 24
    • 0032057865 scopus 로고    scopus 로고
    • The computational structure of monotone monadic SNP and constraint satisfaction: A study through datalog and group theory
    • Feder, T., Vardi, M.Y.: The computational structure of monotone monadic SNP and constraint satisfaction: A study through datalog and group theory. SIAM Journal on Computing 28, 57-104 (1998)
    • (1998) SIAM Journal on Computing , vol.28 , pp. 57-104
    • Feder, T.1    Vardi, M.Y.2
  • 26
    • 0003357930 scopus 로고
    • The Structure of Finite Algebras
    • American Mathematical Society, Providence
    • Hobby, D., McKenzie, R.N.: The Structure of Finite Algebras. Contemporary Mathematics, vol. 76. American Mathematical Society, Providence (1988)
    • (1988) Contemporary Mathematics , vol.76
    • Hobby, D.1    McKenzie, R.N.2
  • 28
    • 0001110897 scopus 로고    scopus 로고
    • On the algebraic structure of combinatorial problems
    • Jeavons, P.G.: On the algebraic structure of combinatorial problems. Theoretical Computer Science 200, 185-204 (1998)
    • (1998) Theoretical Computer Science , vol.200 , pp. 185-204
    • Jeavons, P.G.1
  • 32
    • 34547307238 scopus 로고    scopus 로고
    • Larose, B., Loten, C., Tardif, C.: A characterisation of first-order constraint satisfaction problems. In: LICS, pp. 201-210 (2006)
    • Larose, B., Loten, C., Tardif, C.: A characterisation of first-order constraint satisfaction problems. In: LICS, pp. 201-210 (2006)
  • 33
    • 38149070894 scopus 로고    scopus 로고
    • Universal algebra and hardness results for constraint satisfaction problems
    • Arge, L, Cachin, C, Jurdzi'nski, T, Tarlecki, A, eds, ICALP 2007, Springer, Heidelberg
    • Larose, B., Tesson, P.: Universal algebra and hardness results for constraint satisfaction problems. In: Arge, L., Cachin, C., Jurdzi'nski, T., Tarlecki, A. (eds.) ICALP 2007. LNCS, vol. 4596, pp. 267-278. Springer, Heidelberg (2007)
    • (2007) LNCS , vol.4596 , pp. 267-278
    • Larose, B.1    Tesson, P.2
  • 34
    • 34249877957 scopus 로고    scopus 로고
    • Bounded width problems and algebras
    • Larose, B., Zadori, L.: Bounded width problems and algebras. Algebra Universalis 56(3-4), 439-466 (2007)
    • (2007) Algebra Universalis , vol.56 , Issue.3-4 , pp. 439-466
    • Larose, B.1    Zadori, L.2
  • 35
    • 40949093916 scopus 로고    scopus 로고
    • Few subpowers, congruence distributivity and nearunanimity
    • Markovi'c, P., McKenzie, R.: Few subpowers, congruence distributivity and nearunanimity. Algebra Universalis 58(2), 119-128 (2008)
    • (2008) Algebra Universalis , vol.58 , Issue.2 , pp. 119-128
    • Markovi'c, P.1    McKenzie, R.2
  • 37
    • 59149099785 scopus 로고    scopus 로고
    • Existence theorems for weakly symmetric operations
    • to appear
    • McKenzie, R., Mar'oti, M.: Existence theorems for weakly symmetric operations. In: Algebra Universalis (to appear, 2006)
    • (2006) Algebra Universalis
    • McKenzie, R.1    Mar'oti, M.2
  • 40
    • 59149103331 scopus 로고    scopus 로고
    • A subalgebra intersection property for congruence distributive varieties
    • accepted
    • Valeriote, M.: A subalgebra intersection property for congruence distributive varieties. Canadian Journal of Mathematics (accepted, 2006)
    • (2006) Canadian Journal of Mathematics
    • Valeriote, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.