메뉴 건너뛰기




Volumn 17, Issue 5, 2006, Pages 1179-1203

On the complexity of counting fixed points and gardens of eden in sequential dynamical systems on planar bipartite graphs

Author keywords

P completeness; Cellular and graph automata; Computational complexity; Discrete dynamical systems; Enumeration problems

Indexed keywords


EID: 33748803294     PISSN: 01290541     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129054106004339     Document Type: Article
Times cited : (10)

References (55)
  • 1
    • 0015417381 scopus 로고
    • Decision procedures for surjectivity and injectivity of parallel maps for tessellation structures
    • S. Amoroso and Y. Patt. "Decision procedures for surjectivity and injectivity of parallel maps for tessellation structures", J. of Computer and System Sciences (JCSS), vol. 6, pp. 448-464, 1972
    • (1972) J. of Computer and System Sciences (JCSS) , vol.6 , pp. 448-464
    • Amoroso, S.1    Patt, Y.2
  • 2
    • 0030574422 scopus 로고    scopus 로고
    • Counting and classifying attractors in high dimensional dynamical systems
    • R. J. Bagley and L. Glass. "Counting and Classifying Attractors in High Dimensional Dynamical Systems", Journal of Theoretical Biology, vol. 183, pp. 269-284, 1996
    • (1996) Journal of Theoretical Biology , vol.183 , pp. 269-284
    • Bagley, R.J.1    Glass, L.2
  • 3
    • 27144433108 scopus 로고    scopus 로고
    • Sequential dynamical systems and applications to simulations
    • Los Alamos National Laboratory, September
    • C. Barrett, B. Bush, S. Kopp, H. Mortveit, C. Reidys. "Sequential Dynamical Systems and Applications to Simulations", Technical Report, Los Alamos National Laboratory, September 1999
    • (1999) Technical Report
    • Barrett, C.1    Bush, B.2    Kopp, S.3    Mortveit, H.4    Reidys, C.5
  • 9
    • 0347110898 scopus 로고    scopus 로고
    • Elements of a theory of simulation II: Sequential dynamical systems
    • C. Barrett, H. Mortveit, and C. Reidys. "Elements of a theory of simulation II: sequential dynamical systems" Applied Mathematics and Compututation, vol. 107 (2-3), pp. 121-136, 2000
    • (2000) Applied Mathematics and Compututation , vol.107 , Issue.2-3 , pp. 121-136
    • Barrett, C.1    Mortveit, H.2    Reidys, C.3
  • 10
    • 0035882699 scopus 로고    scopus 로고
    • Elements of a theory of computer simulation III: Equivalence of SDS
    • C. Barrett, H. Mortveit and C. Reidys. "Elements of a theory of computer simulation III: equivalence of SDS", Applied Mathematics and Computation, vol. 122, pp. 325-340, 2001
    • (2001) Applied Mathematics and Computation , vol.122 , pp. 325-340
    • Barrett, C.1    Mortveit, H.2    Reidys, C.3
  • 11
    • 0002663338 scopus 로고    scopus 로고
    • Elements of a theory of computer simulation I: Sequential CA over random graphs
    • C. Barrett and C. Reidys. "Elements of a theory of computer simulation I: sequential CA over random graphs" Applied Mathematics and Computation, vol. 98, pp. 241-259, 1999
    • (1999) Applied Mathematics and Computation , vol.98 , pp. 241-259
    • Barrett, C.1    Reidys, C.2
  • 12
    • 35248875034 scopus 로고    scopus 로고
    • TRANSIMS - Release 1.0 - The dallas-forth worth case study
    • Los Alamos National Laboratory
    • R. Beckman et. al. "TRANSIMS - Release 1.0 - The Dallas-Forth Worth case study", Tech. Report LA UR 97-4502, Los Alamos National Laboratory, 1999
    • (1999) Tech. Report , vol.LA UR 97-4502
    • Beckman, R.1
  • 13
    • 12244268414 scopus 로고
    • On the predictability of coupled automata: An allegory about Chaos
    • S. Buss, C. Papadimitriou and J. Tsitsiklis. "On the predictability of coupled automata: An allegory about Chaos", Complex Systems, vol. 1 (5), pp. 525-539, 1991
    • (1991) Complex Systems , vol.1 , Issue.5 , pp. 525-539
    • Buss, S.1    Papadimitriou, C.2    Tsitsiklis, J.3
  • 16
    • 0013230123 scopus 로고    scopus 로고
    • Deterministic computations whose history is independent of the order of asynchronous updating
    • Computer Science Dept, Boston University
    • P. Gacs. "Deterministic computations whose history is independent of the order of asynchronous updating", Tech. Report, Computer Science Dept, Boston University, 1997
    • (1997) Tech. Report
    • Gacs, P.1
  • 21
    • 12244300696 scopus 로고
    • NP-Complete Problems in Cellular Automata
    • F. Green. "NP-Complete Problems in Cellular Automata", Complex Systems, vol. 1 (3), pp. 453-474, 1987
    • (1987) Complex Systems , vol.1 , Issue.3 , pp. 453-474
    • Green, F.1
  • 23
    • 0020118274 scopus 로고
    • Neural networks and physical systems with emergent collective computational abilities
    • J. J. Hopfield. "Neural networks and physical systems with emergent collective computational abilities", Proc. Nat'1 Academy Sci. USA, vol. 79, pp. 2554-2558, 1982
    • (1982) Proc. Nat'1 Academy Sci. USA , vol.79 , pp. 2554-2558
    • Hopfield, J.J.1
  • 24
    • 0021835689 scopus 로고
    • Neural computation of decisions in optimization problems
    • J. J. Hopfield, D. W. Tank. "Neural computation of decisions in optimization problems", Biological Cybernetics, vol. 52, pp. 141-152, 1985
    • (1985) Biological Cybernetics , vol.52 , pp. 141-152
    • Hopfield, J.J.1    Tank, D.W.2
  • 27
    • 0039592483 scopus 로고
    • On invertible cellular automata
    • L.P. Hurd, "On Invertible Cellular Automata" Complex Systems, vol. 1(1), pp. 69-80, 1987
    • (1987) Complex Systems , vol.1 , Issue.1 , pp. 69-80
    • Hurd, L.P.1
  • 28
    • 0020496145 scopus 로고
    • Structure in asynchronous cellular automata
    • January
    • T. E. Ingerson and R. L. Buvel. "Structure in asynchronous cellular automata", Physica D: Nonlinear Phenomena, vol. 10 (1-2), pp. 59 - 68, January 1984
    • (1984) Physica D: Nonlinear Phenomena , vol.10 , Issue.1-2 , pp. 59-68
    • Ingerson, T.E.1    Buvel, R.L.2
  • 29
    • 0009002383 scopus 로고
    • Two-dimensional monomer-dimer systems are computationally intractable
    • Erratum in vol. 59, pp. 1087-1088, 1990
    • M. Jerrum. "Two-dimensional monomer-dimer systems are computationally intractable", J. Statist. Physics, vol. 48, pp. 121-134, 1987 (Erratum in vol. 59, pp. 1087-1088, 1990)
    • (1987) J. Statist. Physics , vol.48 , pp. 121-134
    • Jerrum, M.1
  • 30
    • 0024904712 scopus 로고
    • Approximating the permanent
    • M. Jerrum, A. Sinclair. "Approximating the permanent", SIAM J. Computing vol. 18, pp. 1149-1178, 1989
    • (1989) SIAM J. Computing , vol.18 , pp. 1149-1178
    • Jerrum, M.1    Sinclair, A.2
  • 31
    • 0027677367 scopus 로고
    • Polynomial-time approximation algorithms for the Ising model
    • M. Jerrum, A. Sinclair. "Polynomial-time approximation algorithms for the Ising model", SIAM J. Computing, vol. 22, pp. 1087- 116, 1993
    • (1993) SIAM J. Computing , vol.22 , pp. 1087-1116
    • Jerrum, M.1    Sinclair, A.2
  • 32
    • 0013229691 scopus 로고    scopus 로고
    • Finite dynamical systems
    • Dept. of Mathematical Sciences, New Mexico State University, Las Cruces, N. Mexico
    • R. Laubenbacher, B. Pareigis. "Finite Dynamical Systems", Tech. report, Dept. of Mathematical Sciences, New Mexico State University, Las Cruces, N. Mexico, 2000
    • (2000) Tech. Report
    • Laubenbacher, R.1    Pareigis, B.2
  • 33
    • 27144552225 scopus 로고    scopus 로고
    • A geometrical hierarchy of graphs via cellular automata
    • Brno, Czech Republic, August
    • B. Martin. "A Geometrical Hierarchy of Graphs via Cellular Automata", Proc. MFCS'98 Satellite Workshop on Cellular Automata, Brno, Czech Republic, August 1998
    • (1998) Proc. MFCS'98 Satellite Workshop on Cellular Automata
    • Martin, B.1
  • 34
    • 0001102743 scopus 로고
    • Unpredictability and undecidability in dynamical systems
    • C. Moore. "Unpredictability and undecidability in dynamical systems", Physical Review Letters, vol. 64 (20), pp. 2354-2357, 1990
    • (1990) Physical Review Letters , vol.64 , Issue.20 , pp. 2354-2357
    • Moore, C.1
  • 35
    • 0000878350 scopus 로고    scopus 로고
    • Discrete, sequential dynamical systems
    • H. Mortveit, C. Reidys. "Discrete, sequential dynamical systems", Discrete Mathematics, vol. 226, pp. 281-295, 2001
    • (2001) Discrete Mathematics , vol.226 , pp. 281-295
    • Mortveit, H.1    Reidys, C.2
  • 36
    • 84966199929 scopus 로고
    • The converse of moore's garden-of-eden theorem
    • J. Myhill. "The converse of Moore's Garden-of-Eden theorem", Proc. Amer. Math. Society, vol. 14, pp. 685-686, 1963
    • (1963) Proc. Amer. Math. Society , vol.14 , pp. 685-686
    • Myhill, J.1
  • 39
    • 33748791875 scopus 로고    scopus 로고
    • On acyclic orientations & sequential dynamical systems
    • LA-UR-01-598
    • C.M. Reidys. "On Acyclic Orientations & Sequential Dynamical Systems", Los Alamos National Laboratory Report, LA-UR-01-598, 2001
    • (2001) Los Alamos National Laboratory Report
    • Reidys, C.M.1
  • 40
    • 0028495060 scopus 로고
    • One-way cellular automata on Cayley graphs
    • September
    • Z. Roka. "One-way cellular automata on Cayley graphs", Theoretical Computer Science, vol. 132 (1-2), pp. 259-290, September 1994
    • (1994) Theoretical Computer Science , vol.132 , Issue.1-2 , pp. 259-290
    • Roka, Z.1
  • 41
    • 0030120958 scopus 로고    scopus 로고
    • On the Hardness of Approximate Reasoning
    • D. Roth. "On the Hardness of Approximate Reasoning", Artificial Intelligence, vol. 82, pp. 273-302, 1996
    • (1996) Artificial Intelligence , vol.82 , pp. 273-302
    • Roth, D.1
  • 42
    • 0029252127 scopus 로고
    • On the computational complexity of finite cellular automata
    • February
    • K. Sutner. "On the computational complexity of finite cellular automata", Journal of Computer and System Sciences (JCSS), vol. 50 (1), pp. 87-97, February 1995
    • (1995) Journal of Computer and System Sciences (JCSS) , vol.50 , Issue.1 , pp. 87-97
    • Sutner, K.1
  • 44
    • 0031213269 scopus 로고    scopus 로고
    • Finite automata-models for the investigation of dynamical systems
    • August
    • C. Schittenkopf, G. Deco and W. Brauer. "Finite automata-models for the investigation of dynamical systems" Information Processing Letters, vol. 63 (3), pp. 137-141, August 1997
    • (1997) Information Processing Letters , vol.63 , Issue.3 , pp. 137-141
    • Schittenkopf, C.1    Deco, G.2    Brauer, W.3
  • 45
    • 0026239342 scopus 로고
    • PP is as hard as the polynomial-time hierarchy
    • S. Toda. "PP is as Hard as the Polynomial-Time Hierarchy", SIAM J. Computing, vol. 20 (5), pp. 865-877, 1991
    • (1991) SIAM J. Computing , vol.20 , Issue.5 , pp. 865-877
    • Toda, S.1
  • 46
    • 27144526912 scopus 로고    scopus 로고
    • On complexity of counting fixed point configurations in certain classes of graph automata
    • ECCC TR05-051 April
    • P. Tosic. "On Complexity of Counting Fixed Point Configurations in Certain Classes of Graph Automata", Electronic Colloquium on Computational Complexity, ECCC TR05-051, April 2005
    • (2005) Electronic Colloquium on Computational Complexity
    • Tosic, P.1
  • 47
    • 33746276199 scopus 로고    scopus 로고
    • On counting fixed point configurations in star networks
    • Advances in Parallel and Distributed Computing Models workshop April (CD-Rom)
    • P. Tosic. "On Counting Fixed Point Configurations in Star Networks", Advances in Parallel and Distributed Computing Models workshop in Proc. of the 19th IEEE Int'l Parallel and Distributed Processing Symp., April 2005 (CD-Rom)
    • (2005) Proc. of the 19th IEEE Int'l Parallel and Distributed Processing Symp.
    • Tosic, P.1
  • 48
    • 12444338958 scopus 로고    scopus 로고
    • Concurrency vs. sequential interleavings in 1-D threshold cellular automata
    • Advances in Parallel and Distributed Computing Models workshop, April (CD-Rom)
    • P. Tosic, G. Agha. "Concurrency vs. Sequential Interleavings in 1-D Threshold Cellular Automata", Advances in Parallel and Distributed Computing Models workshop, in Proc. of the 18th IEEE Int'l Parallel and Distributed Processing Symp., April 2004 (CD-Rom)
    • (2004) Proc. of the 18th IEEE Int'l Parallel and Distributed Processing Symp.
    • Tosic, P.1    Agha, G.2
  • 49
    • 27944481898 scopus 로고    scopus 로고
    • Characterizing configuration spaces of simple threshold cellular automata
    • Proc. 6th Int'l Conf. on Cellular Automata for Research and Industry (ACRI'04), Springer's October
    • P. Tosic, G. Agha. "Characterizing Configuration Spaces of Simple Threshold Cellular Automata", Proc. 6th Int'l Conf. on Cellular Automata for Research and Industry (ACRI'04), Springer's Lecture Notes in Computer Sceince series, vol. 3305, pp. 861-870, October 2004
    • (2004) Lecture Notes in Computer Sceince Series , vol.3305 , pp. 861-870
    • Tosic, P.1    Agha, G.2
  • 51
    • 0036242959 scopus 로고    scopus 로고
    • The complexity of counting in sparse, regular and planar graphs
    • S. Vadhan. "The Complexity of Counting in Sparse, Regular and Planar Graphs", SIAM J. Computing, vol. 31 (2), pp. 398-427, 2001
    • (2001) SIAM J. Computing , vol.31 , Issue.2 , pp. 398-427
    • Vadhan, S.1
  • 52
    • 49249151236 scopus 로고
    • The complexity of computing the permanent
    • L. Valiant. "The Complexity of Computing the Permanent", Theoretical Computer Science, vol. 8, pp. 189-201, 1979
    • (1979) Theoretical Computer Science , vol.8 , pp. 189-201
    • Valiant, L.1
  • 53
    • 0000142982 scopus 로고
    • The complexity of enumeration and reliability problems
    • L. Valiant. "The Complexity of Enumeration and Reliability Problems", SIAM J. Computing, vol. 8 (3), pp. 410-421, 1979
    • (1979) SIAM J. Computing , vol.8 , Issue.3 , pp. 410-421
    • Valiant, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.