Vertical and Horizontal Distances to Approximate Edit Distance for Rooted Labeled Caterpillars

Kohei Muraka, Takuya Yoshino, Kouichi Hirata

2019

Abstract

A rooted labeled caterpillar (caterpillar, for short) is a rooted labeled tree transformed to a rooted path (called a backbone) after removing all the leaves in it and we can compute the edit distance between caterpillars in quartic time. In this paper, we introduce two vertical distances and two horizontal distances for caterpillars. The former are based on a string edit distance between the string representations of the backbones and the latter on a multiset edit distance between the multisets of labels occurring in all the leaves. Then, we show that these distances give both lower bound and upper bound of the edit distance and we can compute the vertical distances in quadratic time and the horizontal distances in linear time under the unit cost function.

Paper Citation

in Harvard Style

Muraka K., Yoshino T. and Hirata K. (2019). Vertical and Horizontal Distances to Approximate Edit Distance for Rooted Labeled Caterpillars.In Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM, ISBN 978-989-758-351-3, pages 590-597. DOI: 10.5220/0007387205900597

in Bibtex Style

@conference{icpram19,
author={Kohei Muraka and Takuya Yoshino and Kouichi Hirata},
title={Vertical and Horizontal Distances to Approximate Edit Distance for Rooted Labeled Caterpillars},
booktitle={Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,},
year={2019},
pages={590-597},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007387205900597},
isbn={978-989-758-351-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 8th International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,
TI - Vertical and Horizontal Distances to Approximate Edit Distance for Rooted Labeled Caterpillars
SN - 978-989-758-351-3
AU - Muraka K.
AU - Yoshino T.
AU - Hirata K.
PY - 2019
SP - 590
EP - 597
DO - 10.5220/0007387205900597