In graph theory, a tree decomposition is a mapping of a graph into a tree that can be used to define the treewidth of the graph and speed up solving certain computational problems on the …

本章的目标是一个定理：每个有限的图集合中，都存在两个图使得其中一个是另一个的 子式。 图子式：如果无向图H可以通过图G删除边和 顶点 或收缩边得到，则称H为G的子式（minor）或 …

In this section, we explore the following process: 1) bounding the treewidth of a graph, 2) nding the corresponding tree decomposition for this bounded treewidth, and 3) using dynamic …

树分解，属于分解法（Decomposition Method）的一种，也被称为集团树，连接树和连接树，是将图形映射到相关树（Related Tree）的一种方法。 它的主要特性是可以有效地计算原始图的某 …

A graph with tree width w has a tree decomposition where every vertex is labeled by a set of size w+1; the reason for taking the size of the label set to be w+1 is to ensure that trees have tree …

Tree decompositions # This module implements tree-decomposition methods. A tree-decomposition of a graph G = (V, E) is a pair (X, T), where X = {X 1, X 2, …, X t} is a family of …

position). A tree decomposition of a graph G = (V; E) is a tree of N nodes x1; : : : ; xn, with a set Xi V corresponding to each node xi, such that: Every vertex of G belongs to at lea. one set. For …

2011年1月21日 · A tree decomposition is a mapping of a graph into a related tree with desirable properties that allow it to be used to efficiently compute certain properties (e.g., independence …

Let G be a graph. A tree-decomposition of G is a pair (T, W), where T is a tree and W = (Wt : t ∈ V (T )) is such that. if t, t′, t′′ ∈ V (T ) and t′ lies on the path from t to t′′ in T , then Wt ∩Wt′′ ⊆ Wt′. …

We say that a graph G has an H-decomposition if there exists a set L of subgraphs of G, which are isomorphic to H, such that every edge of G appears in exactly one member of L. Note that …