A planar graph and its minimum spanning tree. 一个平面图 和它的最小生成树。 ParaCrawl Corpus (2) Up to 16 maximum spanning trees in a domain (2) 支持域内最大生成树(16个) ParaCrawl Corpus This figure shows there may be more than one minimum spanning tree in a graph. 这张图表明一...
A subgraph of a graph is a spanning k-tree if it is a k-tree and contains every vertex of the graph. This paper is concerned with spanning 2-trees in a graph. It is shown that spanning 2-trees have close connections with two special types of spanning trees: locally connected spanning...
An undirected weighted graph can have a maximum spanning tree, which is a spanning tree that has maximum weight . This can be calculated with the help of Prim’s algorithm . The objective is to locate the spanning tree with the highest weight from among all feasible spanning trees. The algo...
读书报告 | 谱图理论 Ch13: Random Spanning Trees 本期专栏为“谱图理论”系列的第13期,将介绍耶鲁大学教授、两届哥德尔奖得主Daniel A. Spielman所著图书《Spectral and Algebraic Graph Theory》(电子版链接)第十三章Ch13: Random Spanning Trees中的内容。 本期作者 | 何明国,中国人民大学高瓴人工智能学院 ...
SPANNING trees (Graph theory)FINITE element methodTOPOLOGYGRAPHIC methodsBETTI numbersWe construct sets of basis functions of the space of divergence-free finite elements of Raviart-Thomas type in domains of general topology. Two different methods are presented: one using a suitable selection of the ...
spanning trees –selfsimilar graphsThe number of spanning trees of a graph, also known as the complexity, is computed for graphs constructed by a replacement procedure yielding a self-similar structure. It is shown that under certain symmetry conditions exact formulas for the complexity can be ...
2 do not have good spanning trees. However, we show that every planar graph has a planar embedding with a good spanning tree. Furthermore, we show that a good spanning tree has useful applications in the field of graph drawing, namely, in monotone drawings, in 2-visibility representations ...
In certain fields of graph theory it is often useful to find a minimum spanning tree of a weighted graph. Other optimization problems on spanning trees have also been studied, including the maximum spanning tree, the minimum tree that spans at least k vertices, the minimum spanning tree with ...
The left graph is a tree and the right one isn't because it has acycle. Although this might not look much like a tree that you're used to seeing in the park - a lot of trees actually do resemble them, having a hierarchy from the root node with many branches and leaves. Though, ...
stereochemistry A0210 Algebra, set theory, and graph theoryIt is emphasized by means of counter-examples that the theorem of Gutman, Mallion and Essam (1983, Molec. Phys., 50, 859), for computing the number of spanning trees in a labelled graph, is generally valid only for planar graph...