A branch-&-price approach to the unrooted maximum agreement forest problem

IF 0.9 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2025-09-11 DOI:10.1016/j.orl.2025.107364

Martin Frohn, Steven Kelk, Simona Vychytilova

引用次数: 0

Abstract

We propose the first branch-&-price algorithm for the maximum agreement forest problem on unrooted binary trees: given two unrooted X-labelled binary trees we seek to partition X into a minimum number of blocks such that the induced subtrees are disjoint and have the same topologies in both trees. We provide a dynamic programming algorithm for the weighted maximum agreement subtree problem to solve the pricing problem. When combined with rigorous polynomial-time pre-processing our branch-&-price algorithm exhibits (beyond) state-of-the-art performance.

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无根最大一致林问题的分支-价格方法

我们针对无根二叉树上的最大一致森林问题提出了第一个branch-&；-price算法：给定两棵无根X标记的二叉树，我们寻求将X划分为最小数量的块，使得诱导子树不相交，并且在两棵树中具有相同的拓扑结构。针对加权最大协议子树问题，提出了一种求解定价问题的动态规划算法。当与严格的多项式时间预处理相结合时，我们的分支价格算法表现出（超越）最先进的性能。

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

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

期刊介绍： Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.