Efficient algorithm for finding largest similar substructures in unordered trees

Efficient algorithm for finding largest similar substructures in unordered trees

0.00 Avg rating0 Votes
Article ID: iaor19962209
Country: Japan
Volume: E79-A
Issue: 4
Start Page Number: 428
End Page Number: 440
Publication Date: Apr 1996
Journal: Transactions of the Institute of Electronics, Information and Communication Engineers
Authors: ,
Keywords: graphs
Abstract:

This paper discusses the problems of finidng one of the largest similar substructures in tree Tb to tree Ta, where, both Ta and Tb are rooted and ordered trees (RO-trees), or unrooted and cyclically ordered trees (CO-trees). The authors define a maximal closest common ancestor mapping and a largest similar substructure in Tb to Ta based on this mapping, and propopse two algorithms for finding one of the largest similar substructures for RO-trees and that for Co-trees. The time and space complexities of the algorithm for RO-trees are OT(NaNb) and OS(NaNb), respectively, and those of the algorithm for CO-trees are OT(mambNaNb) and OS((ma+mb)NaNb), respectively, where ma(mb) and Na(Nb) are the largest degree of a vertex and the number of vertices of Ta(Tb), respectively.

Reviews

Required fields are marked *. Your email address will not be published.