Title
Segmental Mapping and Distance for Rooted Labeled Ordered Trees
Abstract
In this paper, as variations of a Tai mapping between rooted labeled ordered trees (trees, for short), we introduce a segmental mapping to preserve the parent-children relationship as possible, and also top-down segmengal and bottom-up segmental mappings as the segmental mappings that contain the pair of the roots and the pair of the leaves, respectively. Then, we show that these mappings provide a new hierarchy for the variations of the Tai mapping in addition to a well-known one, in particular, the top-down segmental mapping coincides with a top-down mapping. Also we show that both segmental and bottom-up segmental distances as the minimum costs of segmental and bottom-up segmental mappings are metrics. Next, we design algorithms to compute the segmental and the bottom-up segmental distances in quadratic time and space. Finally, we give experimental results for the segmental distance.
Year
DOI
Venue
2012
10.3233/FI-2014-1054
Fundamenta Informaticae
Keywords
DocType
Volume
rooted labeled ordered trees,segmental distance,tai mapping,tree edit distance
Conference
132
Issue
ISSN
Citations 
4
0169-2968
1
PageRank 
References 
Authors
0.35
15
3
Name
Order
Citations
PageRank
Tomohiro Kan141.10
Shoichi Higuchi242.79
Kouichi Hirata313032.04