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Volumn 27, Issue 7, 2009, Pages 934-949

Graph matching using the interference of discrete-time quantum walks

Author keywords

Auxiliary structure; Discrete time quantum walk; Graph matching; Interference amplitude; Probabilistic model

Indexed keywords

AUXILIARY EQUIPMENT; CONTINUOUS TIME SYSTEMS; EDGE DETECTION; PATTERN MATCHING;

EID: 64849099581     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.imavis.2008.10.013     Document Type: Article
Times cited : (26)

References (63)
  • 5
    • 3142669879 scopus 로고
    • Subgraph isomorphism, matching relational structures and maximal cliques
    • Barrow H.G., and Burstall R.M. Subgraph isomorphism, matching relational structures and maximal cliques. Information Processing Letters 4 4 (1976) 83-84
    • (1976) Information Processing Letters , vol.4 , Issue.4 , pp. 83-84
    • Barrow, H.G.1    Burstall, R.M.2
  • 6
    • 0001088773 scopus 로고
    • Relational descriptions in picture processing
    • Barrow H.G., and Popplestone R.J. Relational descriptions in picture processing. Machine Intelligence 6 (1971) 377-396
    • (1971) Machine Intelligence , vol.6 , pp. 377-396
    • Barrow, H.G.1    Popplestone, R.J.2
  • 8
    • 0038589165 scopus 로고    scopus 로고
    • The anatomy of a large-scale hypertextual Web search engine
    • Brin S., and Page L. The anatomy of a large-scale hypertextual Web search engine. Computer Networks and ISDN Systems 30 1-7 (1998) 107-117
    • (1998) Computer Networks and ISDN Systems , vol.30 , Issue.1-7 , pp. 107-117
    • Brin, S.1    Page, L.2
  • 9
    • 0031198630 scopus 로고    scopus 로고
    • On a relation between graph edit distance and maximum common subgraph
    • Bunke H. On a relation between graph edit distance and maximum common subgraph. Pattern Recogn. Lett. 18 9 (1997) 689-694
    • (1997) Pattern Recogn. Lett. , vol.18 , Issue.9 , pp. 689-694
    • Bunke, H.1
  • 10
    • 0038751005 scopus 로고    scopus 로고
    • An example of the difference between quantum and classical random walks
    • Childs A., Farhi E., and Gutmann S. An example of the difference between quantum and classical random walks. Quantum Information Processing 1 (2002) 35
    • (2002) Quantum Information Processing , vol.1 , pp. 35
    • Childs, A.1    Farhi, E.2    Gutmann, S.3
  • 13
    • 7044249755 scopus 로고    scopus 로고
    • Quantum state transfer and entanglement distribution among distant nodes in a quantum network
    • Cirac J., Zoller P., Kimble H.J., and Mabuchi H. Quantum state transfer and entanglement distribution among distant nodes in a quantum network. Phys. Rev. Lett. 78 (1997) 3221-3224
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3221-3224
    • Cirac, J.1    Zoller, P.2    Kimble, H.J.3    Mabuchi, H.4
  • 14
    • 0002603293 scopus 로고
    • Practical graph isomorphism
    • McKay B.D. Practical graph isomorphism. Congressus Numerantium 30 (1981) 45-87
    • (1981) Congressus Numerantium , vol.30 , pp. 45-87
    • McKay, B.D.1
  • 15
    • 58249090309 scopus 로고    scopus 로고
    • A classical approach to the graph isomorphism problem
    • Douglas B.L., and Wang J.B. A classical approach to the graph isomorphism problem. J. Phys. A 41 (2008) 1-15
    • (2008) J. Phys. A , vol.41 , pp. 1-15
    • Douglas, B.L.1    Wang, J.B.2
  • 18
    • 58249085186 scopus 로고    scopus 로고
    • Graph matching using the interference of continuous-time quantum walks
    • Emms D., Wilson R.C., and Hancock E.R. Graph matching using the interference of continuous-time quantum walks. Pattern Recognition (2009) 42
    • (2009) Pattern Recognition , pp. 42
    • Emms, D.1    Wilson, R.C.2    Hancock, E.R.3
  • 20
    • 4243657256 scopus 로고    scopus 로고
    • Quantum computation and decision trees
    • Farhi E., and Gutmann S. Quantum computation and decision trees. Phys. Rev. A 58 (1998) 915-928
    • (1998) Phys. Rev. A , vol.58 , pp. 915-928
    • Farhi, E.1    Gutmann, S.2
  • 21
    • 0015567825 scopus 로고
    • The representation and matching of pictorial structures
    • Fischler M.A., and Elschlager R.A. The representation and matching of pictorial structures. IEEE Trans. Comput. 22 1 (1973) 67-92
    • (1973) IEEE Trans. Comput. , vol.22 , Issue.1 , pp. 67-92
    • Fischler, M.A.1    Elschlager, R.A.2
  • 23
    • 33846207510 scopus 로고    scopus 로고
    • Random walks for image segmentation
    • Grady L. Random walks for image segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 28 11 (2006) 1768-1783
    • (2006) IEEE Trans. Pattern Anal. Mach. Intell. , vol.28 , Issue.11 , pp. 1768-1783
    • Grady, L.1
  • 25
    • 64849096787 scopus 로고    scopus 로고
    • Graph equivalence and characterization via a continuous evolution of a physical analog
    • cond-mat/0209112
    • V. Gudkov, S. Nussinov, Graph equivalence and characterization via a continuous evolution of a physical analog, CoRR, cond-mat/0209112, 2002.
    • (2002) CoRR
    • Gudkov, V.1    Nussinov, S.2
  • 28
    • 0024771949 scopus 로고
    • Stereo correspondence through feature grouping and maximal cliques
    • Horaud R., and Skordas T. Stereo correspondence through feature grouping and maximal cliques. IEEE Trans. Pattern Anal. Mach. Intell. 11 11 (1989) 1168-1180
    • (1989) IEEE Trans. Pattern Anal. Mach. Intell. , vol.11 , Issue.11 , pp. 1168-1180
    • Horaud, R.1    Skordas, T.2
  • 29
    • 0043092395 scopus 로고    scopus 로고
    • Quantum random walks-an introductory overview
    • Kempe J. Quantum random walks-an introductory overview. Contemporary Physics 44 4 (2003) 307-327
    • (2003) Contemporary Physics , vol.44 , Issue.4 , pp. 307-327
    • Kempe, J.1
  • 31
    • 33746086721 scopus 로고    scopus 로고
    • J. Kobler, On graph isomorphism for restricted graph classes, in: CiE, 2006, pp. 241-256.
    • J. Kobler, On graph isomorphism for restricted graph classes, in: CiE, 2006, pp. 241-256.
  • 32
    • 0002719797 scopus 로고
    • The Hungarian method for the assignment problem
    • Kuhn H.W. The Hungarian method for the assignment problem. Naval Research Logistic Quarterly 2 (1955) 83-97
    • (1955) Naval Research Logistic Quarterly , vol.2 , pp. 83-97
    • Kuhn, H.W.1
  • 34
    • 0006217743 scopus 로고    scopus 로고
    • Combinatorics, Paul Erdös is Eighty
    • Janos Bolyai Mathematical Society, Budapest
    • L. Lovasz, Combinatorics, Paul Erdös is Eighty, vol. 2, Random Walks on Graphs: A Survey, Janos Bolyai Mathematical Society, Budapest, 1996, pp. 353-398.
    • (1996) Random Walks on Graphs: A Survey , vol.2 , pp. 353-398
    • Lovasz, L.1
  • 35
    • 0035481405 scopus 로고    scopus 로고
    • Structural graph matching using the em algorithm and singular value decomposition
    • Luo B., and Hancock E.R. Structural graph matching using the em algorithm and singular value decomposition. PAMI 23 10 (2001) 1120-1136
    • (2001) PAMI , vol.23 , Issue.10 , pp. 1120-1136
    • Luo, B.1    Hancock, E.R.2
  • 36
  • 38
    • 84975046986 scopus 로고    scopus 로고
    • T. Miyazaki, The complexity of Mckay's canonical labeling algorithm, in: L. Finkelstein, W.M. Kantor (Eds.), Groups and Computation. II, 28, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, Providence, Rhode Island, 1997, pp. 239-256.
    • T. Miyazaki, The complexity of Mckay's canonical labeling algorithm, in: L. Finkelstein, W.M. Kantor (Eds.), Groups and Computation. II, vol. 28, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society, Providence, Rhode Island, 1997, pp. 239-256.
  • 40
    • 0042481010 scopus 로고    scopus 로고
    • Quantum walk on a line
    • DIMACS Technical Report 2000-43
    • A. Nayak, A. Vishwanath, Quantum walk on a line, DIMACS Technical Report 2000-43, 2000.
    • (2000)
    • Nayak, A.1    Vishwanath, A.2
  • 41
    • 0003840341 scopus 로고    scopus 로고
    • Columbia Object Image Library: COIL
    • Technical Report CUCS-006-96, Department of Computer Science, Columbia University
    • S. Nene, S. Nayar, H. Murase, Columbia Object Image Library: COIL, Technical Report CUCS-006-96, Department of Computer Science, Columbia University, 1996.
    • (1996)
    • Nene, S.1    Nayar, S.2    Murase, H.3
  • 44
    • 0003781238 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • Norris J.R. Markov Chains (1998), Cambridge University Press, Cambridge
    • (1998) Markov Chains
    • Norris, J.R.1
  • 45
    • 33745842266 scopus 로고    scopus 로고
    • Robust multi-body motion tracking using commute time clustering
    • H. Qiu, E. Hancock, Robust multi-body motion tracking using commute time clustering, in: Proc. ECCV, 2006, pp. 160-173.
    • (2006) Proc. ECCV , pp. 160-173
    • Qiu, H.1    Hancock, E.2
  • 46
    • 0344551915 scopus 로고    scopus 로고
    • A. Robles-Kelly, E.R. Hancock, Edit distance from graph spectra, in: Proc. of the IEEE International Conference on Computer Vision, 2003, pp. 234-241.
    • A. Robles-Kelly, E.R. Hancock, Edit distance from graph spectra, in: Proc. of the IEEE International Conference on Computer Vision, 2003, pp. 234-241.
  • 50
    • 0020752197 scopus 로고
    • A distance measure between attributed relational graphs for pattern recognition
    • Sanfeliu A., and Fu K.S. A distance measure between attributed relational graphs for pattern recognition. IEEE Transactions on Systems, Man and Cybernetics 13 3 (1983) 353-362
    • (1983) IEEE Transactions on Systems, Man and Cybernetics , vol.13 , Issue.3 , pp. 353-362
    • Sanfeliu, A.1    Fu, K.S.2
  • 52
  • 54
    • 0037768972 scopus 로고    scopus 로고
    • A quantum random walk search algorithm
    • Shenvi N., Kempe J., and Whaley K.B. A quantum random walk search algorithm. Phys. Rev. A 67 5 (2003)
    • (2003) Phys. Rev. A , vol.67 , Issue.5
    • Shenvi, N.1    Kempe, J.2    Whaley, K.B.3
  • 56
    • 23744480284 scopus 로고    scopus 로고
    • Algebraic obstructions to the solution of the graph isomorphism problem by dynamical algorithms
    • S. Shiau, R. Joynt, S.N. Coppersmith, Algebraic obstructions to the solution of the graph isomorphism problem by dynamical algorithms, Quantum Information and Computation 5, 492-506.
    • Quantum Information and Computation , vol.5 , pp. 492-506
    • Shiau, S.1    Joynt, R.2    Coppersmith, S.N.3
  • 57
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • Shor P.W. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 26 (1997) 1484-1509
    • (1997) SIAM J. Comput. , vol.26 , pp. 1484-1509
    • Shor, P.W.1
  • 59
    • 0016870630 scopus 로고
    • An algorithm for subgraph isomorphism
    • Ullmann J.R. An algorithm for subgraph isomorphism. J. ACM 23 1 (1976) 31-42
    • (1976) J. ACM , vol.23 , Issue.1 , pp. 31-42
    • Ullmann, J.R.1
  • 60
    • 0024069925 scopus 로고
    • An eigen decomposition approach to weighted graph matching problems
    • Umeyama S. An eigen decomposition approach to weighted graph matching problems. PAMI 10 5 (1988) 695-703
    • (1988) PAMI , vol.10 , Issue.5 , pp. 695-703
    • Umeyama, S.1
  • 61
    • 84975047814 scopus 로고    scopus 로고
    • Ulrike von Luxburg, A tutorial on spectral clustering. CoRR, abs/0711.0189, 2007.
    • Ulrike von Luxburg, A tutorial on spectral clustering. CoRR, abs/0711.0189, 2007.
  • 63
    • 14344254639 scopus 로고    scopus 로고
    • Semi-supervised learning using gaussian fields and harmonic functions
    • Zhu X., Ghahramani Z., and Lafferty J. Semi-supervised learning using gaussian fields and harmonic functions. ICML (2003) 1561-1566
    • (2003) ICML , pp. 1561-1566
    • Zhu, X.1    Ghahramani, Z.2    Lafferty, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.