Labeled graphs are graphs in which each node and edge has a label. The distance between two labeled graphs is considered to be the weighted sum of the costs of edit operations (insert, delete and relabel the nodes and edges) to transform one graph to the other. The paper considers two variants of the approximate graph matching problem (AGM): Given a pattern graph P and a data graph D, what is the distance between P and D ? What is the minimum distance between P and D when subgraphs can be freely removed from D ? We show that no efficient algorithm can solve either variant of the AGM, unless P = NP. We then give a polynomial-time approximation algorithm to solve this problem.
CITATION STYLE
Wang, J. T. L., Zhang, K., & Chirn, G. W. (1994). The approximate graph matching problem. In Proceedings - International Conference on Pattern Recognition (Vol. 2, pp. 284–288). Institute of Electrical and Electronics Engineers Inc. https://doi.org/10.1109/icpr.1994.576921
Mendeley helps you to discover research relevant for your work.