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Volumn 4051 LNCS, Issue , 2006, Pages 703-714

Some results on matchgates and holographic algorithms

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SCIENCE; ELECTRONIC DOCUMENT IDENTIFICATION SYSTEMS; GATEWAYS (COMPUTER NETWORKS); POLYNOMIALS; PROBLEM SOLVING;

EID: 33746335976     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11786986_61     Document Type: Conference Paper
Times cited : (29)

References (20)
  • 2
    • 84941159396 scopus 로고    scopus 로고
    • Valiant's Holant theorem and matchgate tensors
    • To appear TAMC 2006. Lecture Notes in Computer Science. Also at ECCC TR05-118
    • Jin-Yi Cai, V. Choudhary. Valiant's Holant Theorem and Matchgate Tensors. To appear in the Proceedings of Theory and Applications of Models of Computation, TAMC 2006. Lecture Notes in Computer Science. Also at ECCC TR05-118.
    • Proceedings of Theory and Applications of Models of Computation
    • Cai, J.-Y.1    Choudhary, V.2
  • 5
    • 0000120312 scopus 로고
    • Finding a maximum cut of a planar graph in polynomial time
    • F. Hadlock, Finding a Maximum Cut of a Planar Graph in Polynomial Time. SIAM Journal on Computing, 4 (1975): 221-225.
    • (1975) SIAM Journal on Computing , vol.4 , pp. 221-225
    • Hadlock, F.1
  • 7
    • 0009002383 scopus 로고
    • Two-dimensional monomer-dimer systems are computationally intractable
    • M. R, Jerrum, Two-dimensional Monomer-Dimer Systems are Computationally Intractable. Journal of Statistical Physics, 48, 1/2: 121-134 (1987).
    • (1987) Journal of Statistical Physics , vol.48 , Issue.1-2 , pp. 121-134
    • Jerrum, M.R.1
  • 9
    • 0000113399 scopus 로고
    • The statistics of dimers on a lattice
    • P. W. Kasteleyn. The statistics of dimers on a lattice. Physica, 27: 1209-1225 (1961).
    • (1961) Physica , vol.27 , pp. 1209-1225
    • Kasteleyn, P.W.1
  • 10
    • 0001834352 scopus 로고
    • Graph theory and crystal physics
    • (F. Harary, ed.), Academic Press, London
    • P. W. Kasteleyn. Graph Theory and Crystal Physics. In Graph Theory and Theoretical Physics, (F. Harary, ed.), Academic Press, London, 43-110 (1967).
    • (1967) Graph Theory and Theoretical Physics , pp. 43-110
    • Kasteleyn, P.W.1
  • 13
    • 84996204867 scopus 로고
    • Dimer problem in statistical mechanics an exact result
    • H. N. V. Temperley and M. E. Fisher. Dimer problem in statistical mechanics an exact result. Philosophical Magazine 6: 1061-1063 (1961).
    • (1961) Philosophical Magazine , vol.6 , pp. 1061-1063
    • Temperley, H.N.V.1    Fisher, M.E.2
  • 14
    • 0036242959 scopus 로고    scopus 로고
    • The complexity of counting in sparse, regular and planar graphs
    • S. P. Vadhan, The Complexity of Counting in Sparse, Regular and Planar Graphs. SIAM Journal on Computing, 8(1): 398-427 (2001).
    • (2001) SIAM Journal on Computing , vol.8 , Issue.1 , pp. 398-427
    • Vadhan, S.P.1
  • 15
    • 0036519749 scopus 로고    scopus 로고
    • Quantum circuits that can be simulated classically in polynomial time
    • L. G. Valiant. Quantum circuits that can be simulated classically in polynomial time. SIAM Journal on Computing, 31(4): 1229-1254 (2002).
    • (2002) SIAM Journal on Computing , vol.31 , Issue.4 , pp. 1229-1254
    • Valiant, L.G.1
  • 16
    • 0037163969 scopus 로고    scopus 로고
    • Expressiveness of matchgates
    • L. G. Valiant, Expressiveness of Matchgates. Theoretical Computer Science, 281(1): 457-471 (2002).
    • (2002) Theoretical Computer Science , vol.281 , Issue.1 , pp. 457-471
    • Valiant, L.G.1
  • 18
    • 17744373330 scopus 로고    scopus 로고
    • Holographic algorithms
    • A more detailed version appeared in Electronic Colloquium on Computational Complexity Report TR05-099.
    • L. G. Valiant. Holographic Algorithms (Extended Abstract). In Proc. 45th IEEE Symposium on Foundations of Computer Science, 2004, 306-315. A more detailed version appeared in Electronic Colloquium on Computational Complexity Report TR05-099.
    • (2004) Proc. 45th IEEE Symposium on Foundations of Computer Science , pp. 306-315
    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.