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Abstract

Combinatorial problems on trees and graphs can be studied in the general framework of assigning values to nodes or vertices in such a way that some specified constraints are satisfied. Some of the basic algorithmic techniques for solving these problems—backtracking, branch-and-bound, divide-and-conquer, and dynamic programming—are presented in this chapter, and they are illustrated by the problem of computing the edit distance between two trees.

For decades, computer scientists have focused attention on problems that admit efficient algorithms. Algorithms whose running time grows no faster than some polynomial of low degree in the size of the input data still dominate textbooks on algorithms.

—Jürg Nievergelt [247]

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© 2002 Springer-Verlag Berlin Heidelberg

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Valiente, G. (2002). Algorithmic Techniques. In: Algorithms on Trees and Graphs. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04921-1_2

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  • DOI: https://doi.org/10.1007/978-3-662-04921-1_2

  • 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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