Approximating Tree Edit Distance through String Edit Distance for Binary Tree Codes

IF 0.4 4区计算机科学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING

Fundamenta Informaticae Pub Date : 2009-01-24 DOI:10.3233/FI-2010-282

Taku Aratsu, K. Hirata, T. Kuboyama

引用次数: 8

Abstract

This article proposes an approximation of the tree edit distance through the string edit distance for binary tree codes, instead of for Euler strings introduced by Akutsu (2006). Here, a binary tree code is a string obtained by traversing a binary tree representation with two kinds of dummy nodes of a tree in preorder. Then, we show that σ/2 ≤ τ ≤ (h + 1)σ + h, where τ is the tree edit distance between trees, and σ is the string edit distance between their binary tree codes and h is the minimum height of the trees.

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通过二叉树代码的字符串编辑距离逼近树编辑距离

本文提出通过二叉树编码的字符串编辑距离来近似树编辑距离，而不是Akutsu(2006)引入的欧拉字符串。在这里，二叉树代码是一个字符串，通过遍历二叉树表示获得，该二叉树表示具有预先排序的两种虚拟节点。然后，我们证明σ/2≤τ≤(h + 1)σ + h，其中τ为树之间的树编辑距离，σ为二叉树编码之间的字符串编辑距离，h为树的最小高度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fundamenta Informaticae 工程技术-计算机：软件工程

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

9.8 months

期刊介绍： Fundamenta Informaticae is an international journal publishing original research results in all areas of theoretical computer science. Papers are encouraged contributing: solutions by mathematical methods of problems emerging in computer science solutions of mathematical problems inspired by computer science. Topics of interest include (but are not restricted to): theory of computing, complexity theory, algorithms and data structures, computational aspects of combinatorics and graph theory, programming language theory, theoretical aspects of programming languages, computer-aided verification, computer science logic, database theory, logic programming, automated deduction, formal languages and automata theory, concurrency and distributed computing, cryptography and security, theoretical issues in artificial intelligence, machine learning, pattern recognition, algorithmic game theory, bioinformatics and computational biology, quantum computing, probabilistic methods, algebraic and categorical methods.