Title :
A metric between unrooted and unordered trees and its bottom-up computing method
Author_Institution :
Dept. of Electr. & Electron. Eng., Kobe Univ., Japan
fDate :
12/1/1994 12:00:00 AM
Abstract :
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 )
Keywords :
computational complexity; dynamic programming; pattern matching; trees (mathematics); bottom-up computing method; distance metric; dynamic programming; maximum degrees; pattern matching; pattern recognition; similar structure search; similar substructures; similarity; space complexity; strongly structure-preserving mapping; time complexity; unordered trees; unrooted trees; vertex correspondences; Chemical compounds; Chemistry; Dynamic programming; Merging; Pattern matching; Pattern recognition; Tree data structures; Tree graphs; Vegetation mapping;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on