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・ Agreement (linguistics)
・ Agreement Between Great Britain and Denmark Relating to the Suppression of the Capitulations in Egypt
・ Agreement Between Great Britain and Greece Relating to the Suppression of the Capitulations in Egypt (1920)
・ Agreement Between Great Britain and Norway Relating to the Suppression of the Capitulations in Egypt
・ Agreement between Great Britain and Portugal Relating to the Suppression of the Capitulations in Egypt
・ Agreement Between Great Britain and Sweden Relating to the Suppression of the Capitulations in Egypt (1921)
・ Agreement between New Zealand and Singapore on a Closer Economic Partnership
・ Agreement between the Allied and Associated Powers with Regard to the Contribution to the Cost of Liberation of the Territories of the Former Austro-Hungarian Monarchy
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・ Agreement for the Country
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Agreement forest
・ Agreement in English law
・ Agreement in principle
・ Agreement of Friendship, Cooperation, and Mutual Assistance
・ Agreement of Saint-Jean-de-Maurienne
・ Agreement of the People
・ Agreement of Łęgonice
・ Agreement on a Cease-fire and Separation of Forces
・ Agreement on Agriculture
・ Agreement on Disengagement between Israel and Syria
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・ Agreement on Government Procurement
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Agreement forest : ウィキペディア英語版
Agreement forest

In the mathematical field of graph theory, an agreement forest for two given (leaf-labeled, irreductible) trees is any (leaf-labeled, irreductible) forest which can, informally speaking, be obtained from both trees by removing a common number of edges.
Agreement forests first arose when studying combinatorial problems related to computational phylogenetics, in particular tree rearrangements.
== Preliminaries ==

Recall that a tree (or a forest) is irreductible when it lacks any internal node of degree 2. In the case of a rooted tree (or a rooted forest), the root(s) are of course allowed to have degree 2, since they are not internal nodes. Any tree (or forest) can be made irreductible by applying a sequence of edge contractions.
An irreductible (rooted or unrooted) tree whose leaves are bijectively labeled by elements of a set is called a (rooted or unrooted) -tree.
Such a -tree usually model a phylogenetic tree, where the elements of (the taxon set) could represent species, individual organisms, DNA sequences, or other biological objects.
Two -trees and are said to be isomorphic when there exists a graph isomorphism between them which preserves the leaf labels. In the case of rooted -trees, the isomorphism must also preserves the root.
Given a -tree and a taxon subset , the minimal subtree of that connects all leaves in is denoted by . When is rooted, then is also rooted, with its root being the node closest to the original root of . This subtree needs not be a -tree, because it might not be irreductible. We therefore further define the restricted subtree , which is obtained from by suppressing all internal nodes of degree 2, yielding a proper -tree.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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