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Abstract

Tree identification is the problem of determining whether two trees are isomorphic, and it is a fundamental problem with a variety of interesting applications in diverse scientific and engineering disciplines. The related problems of subtree isomorphism and maximum common subtree isomorphism generalize pattern matching in strings to trees, and find application whenever hierarchical structures, structures described by trees, need to be compared.

The method for tree identification seems not to offer much help toward a good algorithm for deciding whether one given rooted tree contains a subgraph identical to another given rooted tree so that roots identify. It would be very interesting to have a good algorithm for this more general identification task.

—Robert G. Busacker and Thomas L. Saaty [63]

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© 2002 Springer-Verlag Berlin Heidelberg

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Valiente, G. (2002). Tree Isomorphism. In: Algorithms on Trees and Graphs. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04921-1_4

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  • DOI: https://doi.org/10.1007/978-3-662-04921-1_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07809-5

  • Online ISBN: 978-3-662-04921-1

  • eBook Packages: Springer Book Archive

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