메뉴 건너뛰기




Volumn , Issue , 2007, Pages 459-468

Inapproximability of the Tutte polynomial

Author keywords

Approximation; Complexity; Tutte polynomial

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; GRAPH THEORY; PROBLEM SOLVING;

EID: 35448981866     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1250790.1250858     Document Type: Conference Paper
Times cited : (15)

References (20)
  • 1
    • 84990630755 scopus 로고
    • Polynomial time randomized approximation schemes for Tutte-Gröthendieck invariants: The dense case
    • Noga Alon, Alan Frieze, and Dominic Welsh. Polynomial time randomized approximation schemes for Tutte-Gröthendieck invariants: the dense case. Random Struct. Algorithms, 6(4):459-478, 1995.
    • (1995) Random Struct. Algorithms , vol.6 , Issue.4 , pp. 459-478
    • Alon, N.1    Frieze, A.2    Welsh, D.3
  • 2
    • 35449008016 scopus 로고    scopus 로고
    • Thomas Brylawski. The Tutte polynomial. I. General theory. In Matroid theory and its applications, pages 125-275. Liguori, Naples, 1982.
    • Thomas Brylawski. The Tutte polynomial. I. General theory. In Matroid theory and its applications, pages 125-275. Liguori, Naples, 1982.
  • 4
    • 21144434561 scopus 로고    scopus 로고
    • The relative complexity of approximate counting problems
    • 471-500
    • Martin Dyer, Leslie Ann Goldberg, Catherine Greenhill, and Mark Jerrum. The relative complexity of approximate counting problems. Algorithmica, 38(3):471-500, 2004.
    • (2004) Algorithmica , vol.38 , Issue.3
    • Dyer, M.1    Ann Goldberg, L.2    Greenhill, C.3    Jerrum, M.4
  • 5
    • 21144434561 scopus 로고    scopus 로고
    • The relative complexity of approximate counting problems
    • Martin E. Dyer, Leslie Ann Goldberg, Catherine S. Greenhill, and Mark Jerrum. The relative complexity of approximate counting problems. Algorithmica, 38(3):471-500, 2003.
    • (2003) Algorithmica , vol.38 , Issue.3 , pp. 471-500
    • Dyer, M.E.1    Ann Goldberg, L.2    Greenhill, C.S.3    Jerrum, M.4
  • 6
    • 0034369431 scopus 로고    scopus 로고
    • The complexity of counting graph homomorphisms
    • Martin E. Dyer and Catherine S. Greenhill. The complexity of counting graph homomorphisms. Random Structures and Algorithms, 17(3-4):260-289, 2000.
    • (2000) Random Structures and Algorithms , vol.17 , Issue.3-4 , pp. 260-289
    • Dyer, M.E.1    Greenhill, C.S.2
  • 7
    • 0011027803 scopus 로고
    • On the dimer solution of planar ising models
    • Michael E. Fisher. On the dimer solution of planar ising models. Journal of Mathematical Physics, 7(10): 1776-1781, 1966.
    • (1966) Journal of Mathematical Physics , vol.7 , Issue.10 , pp. 1776-1781
    • Fisher, M.E.1
  • 8
    • 0001272011 scopus 로고
    • Approximation algorithms for several graph augmentation problems
    • Greg N. Frederickson and Joseph Ja'Ja'. Approximation algorithms for several graph augmentation problems. SIAM J. Comput., 10(2):270-283, 1981.
    • (1981) SIAM J. Comput , vol.10 , Issue.2 , pp. 270-283
    • Frederickson, G.N.1    Ja'Ja', J.2
  • 9
    • 84974224170 scopus 로고
    • On the computational complexity of the Jones and Tutte polynomials
    • F. Jaeger, D. L. Vertigan, and D. J. A. Welsh. On the computational complexity of the Jones and Tutte polynomials. Math. Proc. Cambridge Philos. Soc., 108(1):35-53, 1990.
    • (1990) Math. Proc. Cambridge Philos. Soc , vol.108 , Issue.1 , pp. 35-53
    • Jaeger, F.1    Vertigan, D.L.2    Welsh, D.J.A.3
  • 10
    • 0027677367 scopus 로고
    • Polynomial-time approximation algorithms for the Ising model
    • Mark, Jerrum, and Alistair Sinclair. Polynomial-time approximation algorithms for the Ising model. SIAM J. Comput., 22(5): 1087-1116, 1993.
    • (1993) SIAM J. Comput , vol.22 , Issue.5 , pp. 1087-1116
    • Mark, J.1    Sinclair, A.2
  • 11
    • 38249043088 scopus 로고
    • Random generation of combinatorial structures from a uniform distribution
    • Mark R. Jerrum, Leslie G. Valiant, and Vijay V. Vazirani. Random generation of combinatorial structures from a uniform distribution. Theoret. Comput. Sci., 43(2-3): 169-188, 1986.
    • (1986) Theoret. Comput. Sci , vol.43 , Issue.2-3 , pp. 169-188
    • Jerrum, M.R.1    Valiant, L.G.2    Vazirani, V.V.3
  • 12
    • 0035439423 scopus 로고    scopus 로고
    • A randomized fully polynomial time approximation scheme for the all-terminal network reliability problem
    • David R. Karger. A randomized fully polynomial time approximation scheme for the all-terminal network reliability problem. SIAMRev., 43(3):499-522, 2001.
    • (2001) SIAMRev , vol.43 , Issue.3 , pp. 499-522
    • Karger, D.R.1
  • 13
    • 0001342026 scopus 로고
    • Nowhere-zero 6-flows
    • P. D. Seymour. Nowhere-zero 6-flows. J. Combin. Theory Ser. B, 30(2):130-135, 1981.
    • (1981) J. Combin. Theory Ser. B , vol.30 , Issue.2 , pp. 130-135
    • Seymour, P.D.1
  • 14
    • 29844450023 scopus 로고    scopus 로고
    • The multivariate Tutte polynomial
    • Cambridge University Press
    • Alan Sokal. The multivariate Tutte polynomial. In Surveys in Combinatorics. Cambridge University Press, 2005.
    • (2005) Surveys in Combinatorics
    • Sokal, A.1
  • 16
    • 0003354205 scopus 로고
    • Graph theory
    • of, Addison-Wesley Publishing Company Advanced Book Program, Reading, MA, With a foreword by C. St. J. A. Nash-Williams
    • W. T. Tutte. Graph theory, volume 21 of Encyclopedia of Mathematics and its Applications. Addison-Wesley Publishing Company Advanced Book Program, Reading, MA, 1984. With a foreword by C. St. J. A. Nash-Williams.
    • (1984) Encyclopedia of Mathematics and its Applications , vol.21
    • Tutte, W.T.1
  • 17
    • 0022911518 scopus 로고
    • NP is as easy as detecting unique solutions
    • L. G. Valiant and V. V. Vazirani. NP is as easy as detecting unique solutions. Theor. Comput. Sci., 47(1):85-93, 1986.
    • (1986) Theor. Comput. Sci , vol.47 , Issue.1 , pp. 85-93
    • Valiant, L.G.1    Vazirani, V.V.2
  • 18
    • 0003238314 scopus 로고
    • Complexity: Knots, colourings and counting
    • of, Cambridge University Press, Cambridge
    • D. J. A. Welsh. Complexity: knots, colourings and counting, volume 186 of London Mathematical Society Lecture Note Series. Cambridge University Press, Cambridge, 1993.
    • (1993) London Mathematical Society Lecture Note Series , vol.186
    • Welsh, D.J.A.1
  • 19
    • 84974065362 scopus 로고
    • Randomised approximation in the Tutte plane
    • D. J. A. Welsh. Randomised approximation in the Tutte plane. Combin. Probab. Comput., 3(1):137-143, 1994.
    • (1994) Combin. Probab. Comput , vol.3 , Issue.1 , pp. 137-143
    • Welsh, D.J.A.1
  • 20
    • 0001327627 scopus 로고    scopus 로고
    • On unapproximable versions of NP-Complete problems
    • David Zuckerman. On unapproximable versions of NP-Complete problems. SIAM Journal on Computing, 25(6): 1293-1304, 1996.
    • (1996) SIAM Journal on Computing , vol.25 , Issue.6 , pp. 1293-1304
    • Zuckerman, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.