Models and algorithms for computing the common labelling of a set of attributed graphs

Computer Vision and Image Understanding

Volumn 115, Issue 7, 2011, Pages 929-945

  Solé Ribalta, Albert ^a   Serratosa, Francesc ^a  

^a UNIVERSITAT ROVIRA I VIRGILI   (Spain)

Author keywords

Common graph labelling; Consistent multiple isomorphism; Graduated Assignment; Inconsistent labelling; Multiple graph matching; Softassign

Indexed keywords

COMMON GRAPH LABELLING; CONSISTENT MULTIPLE ISOMORPHISM; GRADUATED ASSIGNMENT; INCONSISTENT LABELLING; MULTIPLE GRAPH MATCHING; SOFTASSIGN;

ALGORITHMS; COMPUTATIONAL COMPLEXITY; OPTIMIZATION; PATTERN MATCHING; STEREO VISION;

GRAPH THEORY;

EID: 79956123814     PISSN: 10773142     EISSN: 1090235X     Source Type: Journal    
DOI: 10.1016/j.cviu.2010.12.007     Document Type: Article

References (26)

1. Donatello Conte, Pasquale Foggia, Carlo Sansone, and Mario Vento Thirty years of graph matching in pattern recognition International Journal of Pattern Recognition and Artificial Intelligence 18 3 2004 265 298
2. Mark L. Williams, Richard C. Wilson, and Edwin R. Hancock Multiple graph matching with Bayesian inference Pattern Recognition Letters 18 11-13 1997 1275 1281 (Pubitemid 127433089)
3. M. Ferrer, E. Valveny, and F. Serratosa Median graph: a new exact algorithm using a distance based on the maximum common subgraph Pattern Recognition Letters 30 5 2009 579 588
4. A.K.C. Wong, and M. You Entropy and distance of random graphs with application to structural pattern recognition IEEE Transactions on Pattern Analysis and Machine Intelligence 7 1985 599 609 (Pubitemid 16574250)
5. K. Sengupta, and K. Boyer Organizing large structural model bases IEEE Transactions on Pattern Analysis and Machine Intelligence 17 1995 321 332
6. F. Serratosa, and R.AlquézaryA. Sanfeliu Synthesis of function-described graphs and clustering of attributed graphs International Journal of Pattern Recognition and Artificial Intelligence 16 6 2002 621 655 (Pubitemid 35354485)
7. F. Serratosa, and R.AlquézaryA. Sanfeliu Function-described for modeling objects represented by attributed graphs Pattern Recognition 36 3 2003 781 798 (Pubitemid 35337713)
8. F. Serratosa, R. Alquézar y A. Sanfeliu, Estimating the joint probability distribution of random vertices and arcs by means of second-order random graphs, in: Proceedings of Syntactic and Structural Pattern Recognition, LNCS 2396, 2002, pp. 252-262.
9. A. Sanfeliu, F. Serratosa, and R. Alquézar Second-order random graphs for modeling sets of attributed graphs and their application to object learning and recognition International Journal of Pattern Recognition and Artificial Intelligence 18 3 2004 375 396
10. A. Solé, F. Serratosa, A structural and semantic probabilistic model for matching and representing a set of graphs, Workshop on Graph-based Representations in Pattern Recognition, LNCS 5534, 2009, pp. 164-173.
11. B. Bonev, Constellations and the unsupervised learning of graphs, in: Workshop on Graph-based Representations in Pattern Recognition, LNCS 4538, 2007, pp. 340-350.
12. A. Solé-Ribalta, F. Serratosa, On the computation of the common labelling of a set of attributed graphs, in: 14th Iberoamerican Congress on Pattern Recognition, LNCS 5856, 2009, pp. 137-144.
13. G. Fekete, J.O. Eklundh, and A. Rosenfeld Relaxation: evaluation and applications IEEE Transactions on Pattern Analysis and Machine Intelligence 3 4 1981 459 469
14. S. Gold, and A. Rangarajan A graduated assignment algorithm for graph matching IEEE Transactions on Pattern Analysis and Machine Intelligence 18 4 1996 377 388 (Pubitemid 126771701)
15. Luo Bin, and E.R. Hancock Structural graph matching using the EM algorithm and singular value decomposition IEEE Transactions on Pattern Analysis and Machine Intelligence 23 10 2001 1120 1136 (Pubitemid 33047950)
16. András Frank, On Kuhn's Hungarian method-a tribute from Hungary, EGRES Technical Report No. 14, 2004, ISSN: 1587-44.
17. A. Sanfeliu, and K. Fu A distance measure between attributed relational graphs for pattern recognition IEEE Transactions on Systems, Man and Cybernetics 13 1983 353 362 (Pubitemid 13591176)
18. L. Shapiro, and R.M. Haralick A metric for comparing relational descriptions IEEE Transactions on Pattern Analysis and Machine Intelligence 7 1985 90 94
19. Horst Bunke, and Kim Shearer A graph distance metric based on the maximal common subgraph Pattern Recognition Letters 19 3-4 1998 255 259 (Pubitemid 128383123)
20. John S. Bridle Training Stochastic Model Recognition Algorithms as Networks can Lead to Maximum Mutual Information Estimation of Parameters Advances in Neural Information Processing Systems vol. 2 1990 Morgan Kaufmann Publishers Inc. pp. 211-217
21. R. Sinkhorn A relationship between arbitrary and positive matrices and doubly stochastic matrices The Annals of Mathematical Statistics 35 2 1964 876 879
22. K. Riesen, Bunke, IAM graph database repository for graph based pattern recognition and machine learning, in: Structural, Syntactic, and Statistical Pattern Recognition LNCS 5342, 2009, pp. 287-297.
23. K. Riesen, and Bunke Graph classification based on vector space embedding International Journal of Pattern Recognition and Artificial Intelligence 23 6 2009 1053 1081
24. M.A. Lozano, F. Escolano, B. Bonev, P. Suau, W. Aguilar, J.M. Saez, and M.A. Cazorla Region and constellations based categorization of images with unsupervised graph learning Image and Vision Computing 27 2009 960 978
25. A. Rangarajan, and A. Yuille Convergence properties of the softassign quadratic assignment algorithm Neural Computation 11 6 1999 1455 1474
26. Michael R. Garey, David S. Johnson, Computers and Intractability: A Guide to the Theory of NP-Completeness, 1979.