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Graph Matching Using Kuhn-Munkres Algorithm

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The document describes using the Kuhn-Munkres or "Hungarian" algorithm to solve the graph matching problem. It formulates graph matching as a minimum-cost bipartite matching problem that can be solved using the Hungarian algorithm. It then outlines the steps of the algorithm, which involves constructing adjacency matrices for the graphs, computing eigenvectors, obtaining a correlation matrix, converting it into a cost matrix, applying the Hungarian algorithm to find the matching, and outputting the results.

EducaçãoTecnologia
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Graph Matching An implementation based on Khun-Munkres Algorithm
Problem description ,[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
Problem description ,[object Object],[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
Minimum-cost bipartite matching ,[object Object],[object Object],[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
Minimum-cost bipartite matching Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07 E1 E2 E3 T1 T2 T3 10 15 10 2 1 12 11 5 13 I T
Minimum-cost bipartite matching Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07 E1 E2 E3 T1 T2 T3 10 15 10 2 1 12 11 5 13 I T
Minimum-cost bipartite matching ,[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
Formalization of the original problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
System operation: Steps ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
System operation: Steps ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
System operation: Steps ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
System operation: Steps ,[object Object],[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
Results: Application snapshot Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07
Conclusions ,[object Object],[object Object],[object Object],Page of 13 Bruno Nardelli Computer Graphics Lab. 26-07-07

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