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An eigendecomposition approach to weighted graph matching problems
Abstract
An approximate solution to the weighted-graph-matching problem is discussed for both undirected and directed graphs. The weighted-graph-matching problem is that of finding the optimum matching between two weighted graphs, which are graphs with weights at each arc. The proposed method uses an analytic instead of a combinatorial or iterative approach to the optimum matching problem. Using the eigendecompositions of the adjacency matrices (in the case of the undirected-graph-matching problem) or Hermitian matrices derived from the adjacency matrices (in the case of the directed-graph-matching problem), a matching close to the optimum can be found efficiently when the graphs are sufficiently close to each other. Simulation results are given to evaluate the performance of the proposed method.>
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Cited by
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Belongie, S., Malik, J., & Puzicha, J. (2002) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.993558 · Cited by 6,306
Unke, O. T., Chmiela, S., Sauceda, H. E., Gastegger, M., Poltavsky, I., Schütt, K. T., Tkatchenko, A., & Müller, K.-R. (2021) · Chemical Reviews · doi:10.1021/acs.chemrev.0c01111 · Cited by 1,647
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Metadata
- Authors
- Umeyama, S.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1988
- Volume
- 10
- Issue
- 5
- Pages
- 695-703
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2108182844
- Cited by
- 727
- References
- 0
- FWCI
- 2.12
- Type
- journal article
- Language
- en
- Open access
- closed
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