메뉴 건너뛰기




Volumn 303, Issue 1, 2003, Pages 157-170

Tree-width and the monadic quantifier hierarchy

Author keywords

Monadic second order logic; Parametrized complexity; Polynomial hierarchy; Tree width

Indexed keywords

COMPUTATIONAL COMPLEXITY; POLYNOMIALS; TREES (MATHEMATICS);

EID: 0038040535     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(02)00449-8     Document Type: Conference Paper
Times cited : (10)

References (36)
  • 1
    • 0000504885 scopus 로고
    • Easy problems for tree decomposable graphs
    • Arnborg S., Lagergren J., Seese D. Easy problems for tree decomposable graphs. J. Algorithms. 12:1991;308-340.
    • (1991) J. Algorithms , vol.12 , pp. 308-340
    • Arnborg, S.1    Lagergren, J.2    Seese, D.3
  • 2
    • 84985402678 scopus 로고
    • The complexity of defining a relation on a finite graph
    • Babai L., Turán G. The complexity of defining a relation on a finite graph. Z Math. Logik Grundlag. Math. 33:1987;277-288.
    • (1987) Z Math. Logik Grundlag. Math. , vol.33 , pp. 277-288
    • Babai, L.1    Turán, G.2
  • 3
    • 0000964917 scopus 로고
    • Dynamic programming algorithms on graphs with bounded tree-width
    • Proc. 15th Internat. Colloq. on Automata, Languages and Programming, Berlin: Springer
    • Bodlaender H.L. Dynamic programming algorithms on graphs with bounded tree-width. Proc. 15th Internat. Colloq. on Automata, Languages and Programming. Lecture Notes in Computer Science. Vol. 317:1988;105-119 Springer, Berlin.
    • (1988) Lecture Notes in Computer Science , vol.317 , pp. 105-119
    • Bodlaender, H.L.1
  • 4
    • 52449145518 scopus 로고
    • Automatic generation of linear-time algorithms from predicate calculus descriptions of problems on recursively constructed graph families
    • Borie R.B., Parker R.G., Tovey C.A. Automatic generation of linear-time algorithms from predicate calculus descriptions of problems on recursively constructed graph families. Algorithmica. 7:1992;555-581.
    • (1992) Algorithmica , vol.7 , pp. 555-581
    • Borie, R.B.1    Parker, R.G.2    Tovey, C.A.3
  • 6
    • 0025398865 scopus 로고
    • The monadic second-order logic of graphs I: Recognizable sets of finite graphs
    • Courcelle B. The monadic second-order logic of graphs I. recognizable sets of finite graphs Inform. Comput. 85:1990;12-75.
    • (1990) Inform. Comput. , vol.85 , pp. 12-75
    • Courcelle, B.1
  • 7
    • 0000090439 scopus 로고    scopus 로고
    • The expression of graph properties and graph transformations in monadic second-order logic
    • RozenbergG. Singapore: Foundations, World Scientific. (Chapter 5)
    • Courcelle B. The expression of graph properties and graph transformations in monadic second-order logic. Rozenberg G. Handbook of Graph Grammars and Computing by Graph Transformations. Vol. 1:1997;313-400 Foundations, World Scientific, Singapore. (Chapter 5).
    • (1997) Handbook of Graph Grammars and Computing by Graph Transformations , vol.1 , pp. 313-400
    • Courcelle, B.1
  • 8
    • 0000413488 scopus 로고
    • A logical characterization of the sets of hypergraphs defined by hyperedge replacement grammars
    • Courcelle B., Engelfriet J. A logical characterization of the sets of hypergraphs defined by hyperedge replacement grammars. Math. Systems Theory. 28:1995;515-552.
    • (1995) Math. Systems Theory , vol.28 , pp. 515-552
    • Courcelle, B.1    Engelfriet, J.2
  • 10
    • 0034399867 scopus 로고    scopus 로고
    • Linear time solvable optimization problems on graphs of bounded clique-width
    • 33.2
    • Courcelle B., Makowsky J.A., Rotics U. Linear time solvable optimization problems on graphs of bounded clique-width. Theory Comput. Systems. 33.2:2000;125-150.
    • (2000) Theory Comput. Systems , pp. 125-150
    • Courcelle, B.1    Makowsky, J.A.2    Rotics, U.3
  • 11
    • 0001780070 scopus 로고    scopus 로고
    • On the fixed parameter complexity of graph enumeration problems definable in monadic second order logic
    • Courcelle B., Makowsky J.A., Rotics U. On the fixed parameter complexity of graph enumeration problems definable in monadic second order logic. Discrete Appl. Math. 108(1-2):2001;23-52.
    • (2001) Discrete Appl. Math. , vol.108 , Issue.1-2 , pp. 23-52
    • Courcelle, B.1    Makowsky, J.A.2    Rotics, U.3
  • 12
    • 0027553197 scopus 로고
    • Monadic second-order evaluations on tree-decomposable graphs
    • Courcelle B., Mosbah M. Monadic second-order evaluations on tree-decomposable graphs. Theoret. Comput. Sci. 109:1993;49-82.
    • (1993) Theoret. Comput. Sci. , vol.109 , pp. 49-82
    • Courcelle, B.1    Mosbah, M.2
  • 13
    • 0002015577 scopus 로고    scopus 로고
    • Upper bounds to the clique-width of graphs
    • Courcelle B., Olariu S. Upper bounds to the clique-width of graphs. Discrete Appl. Math. 101:2000;77-114.
    • (2000) Discrete Appl. Math. , vol.101 , pp. 77-114
    • Courcelle, B.1    Olariu, S.2
  • 14
    • 84985321946 scopus 로고
    • Second-order and inductive definability on finite structures
    • de Rougemont M. Second-order and inductive definability on finite structures. Z. Math. Logik Grundlag. Math. 33:1987;47-63.
    • (1987) Z. Math. Logik Grundlag. Math. , vol.33 , pp. 47-63
    • De Rougemont, M.1
  • 16
    • 0000185443 scopus 로고
    • Tree acceptors and some of their applications
    • Doner J. Tree acceptors and some of their applications. J. Comput. Systems Sci. 4:1970;406-451.
    • (1970) J. Comput. Systems Sci. , vol.4 , pp. 406-451
    • Doner, J.1
  • 20
    • 0002711066 scopus 로고
    • The monotone and planar circuit value problems are log space complete for P
    • 9.2
    • Goldschlager L.M. The monotone and planar circuit value problems are log space complete for P. SIGACT News. 9.2:1977;25-29.
    • (1977) SIGACT News , pp. 25-29
    • Goldschlager, L.M.1
  • 22
    • 0033711813 scopus 로고    scopus 로고
    • Back and forth between guarded and modal logics
    • New York: IEEE Press
    • Grädel T., Hirsch C., Otto M. Back and forth between guarded and modal logics. LiCS'2000. 2000;217-228 IEEE Press, New York.
    • (2000) LiCS'2000 , pp. 217-228
    • Grädel, T.1    Hirsch, C.2    Otto, M.3
  • 23
    • 84947246533 scopus 로고    scopus 로고
    • Definability and descriptive complexity on databases of bounded tree-width
    • C. Beeri, P. Bunemann (Eds.), Database Theory-ICDT'99, Springer, Berlin, 1999, Springer
    • M. Grohe, J. Mariño, Definability and descriptive complexity on databases of bounded tree-width, in: C. Beeri, P. Bunemann (Eds.), Database Theory-ICDT'99, Lecture Notes in Computer Science, Vol. 1540, Springer, Berlin, 1999, pp. 70-82. Springer, 1999.
    • (1999) Lecture Notes in Computer Science , vol.1540 , pp. 70-82
    • Grohe, M.1    Mariño, J.2
  • 26
    • 0003290207 scopus 로고
    • Hyperedge replacement: Grammars and languages
    • Berlin: Springer
    • Habel A. Hyperedge replacement: grammars and languages. Lecture Notes in Computer Science. Vol. 643:1992;Springer, Berlin.
    • (1992) Lecture Notes in Computer Science , vol.643
    • Habel, A.1
  • 28
    • 0030568397 scopus 로고    scopus 로고
    • Arity vs. alternation in second order logic
    • Makowsky J.A., Pnueli Y. Arity vs. alternation in second order logic. Ann. Pure Appl. Logic. 78(2):1996;189-202.
    • (1996) Ann. Pure Appl. Logic , vol.78 , Issue.2 , pp. 189-202
    • Makowsky, J.A.1    Pnueli, Y.2
  • 31
    • 0000416481 scopus 로고
    • The monadic quantifier alternation hierarchy over grids and pictures
    • CSL'97, Berlin: Springer
    • Schweikardt N. The monadic quantifier alternation hierarchy over grids and pictures. CSL'97. Lecture Notes in Computer Science. Vol. 1414:1988;441-460 Springer, Berlin.
    • (1988) Lecture Notes in Computer Science , vol.1414 , pp. 441-460
    • Schweikardt, N.1
  • 32
    • 0001221225 scopus 로고
    • The structure of the models of decidable monadic theories of graphs
    • Seese D. The structure of the models of decidable monadic theories of graphs. Ann. Pure Appl. Logic. 53:1991;169-195.
    • (1991) Ann. Pure Appl. Logic , vol.53 , pp. 169-195
    • Seese, D.1
  • 33
    • 84956111238 scopus 로고
    • Computational complexity of string and graph identification
    • Slisenko A.O. Computational complexity of string and graph identification. Lecture Notes in Comput. Sci. 74:1979;182-190.
    • (1979) Lecture Notes in Comput. Sci. , vol.74 , pp. 182-190
    • Slisenko, A.O.1
  • 34
    • 0037766043 scopus 로고
    • Context-free grammars as a tool for describing polynomial time subclasses of hard problems
    • Slisenko A.O. Context-free grammars as a tool for describing polynomial time subclasses of hard problems. Inform. Process. Lett. 14:1982;52-56.
    • (1982) Inform. Process. Lett. , vol.14 , pp. 52-56
    • Slisenko, A.O.1
  • 35
    • 44649167785 scopus 로고
    • The polynomial time hierarchy
    • Stockmeyer L. The polynomial time hierarchy. Theoret. Comput. Sci. 3:1977;1-22.
    • (1977) Theoret. Comput. Sci. , vol.3 , pp. 1-22
    • Stockmeyer, L.1
  • 36
    • 0002614970 scopus 로고
    • Generalized finite automata theory with an application to a decision problem in second-order logic
    • Thatcher J.W., Wright J.B. Generalized finite automata theory with an application to a decision problem in second-order logic. Math. Systems Theory. 2:1968;57-81.
    • (1968) Math. Systems Theory , vol.2 , pp. 57-81
    • Thatcher, J.W.1    Wright, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.