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A metric between unrooted and unordered trees and its bottom-up computing method

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1 Author(s)
Tanaka, E. ; Dept. of Electr. & Electron. Eng., Kobe Univ., Japan

Proposes a distance measure between unrooted and unordered trees based on the strongly structure-preserving mapping (SSPM). SSPM can make correspondences between the vertices of similar substructures of given structures more strictly than previously proposed mappings. The time complexity of computing the distance between trees Ta and T b is O(mb3NaNb), where Na and Nb are the number of vertices in trees Ta and Tb, respectively; ma and m b are the maximum degrees of a vertex in Ta and T b, respectively; and ma⩽mb is assumed. The space complexity of the method is O(NaNb )

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:16 ,  Issue: 12 )