有方向的边叫做 Arc (有向边,弧)。 如果一个图是由顶点和有向边组成的,就叫做 Directed Graph(有向图)。 概念有点多,还是回到我们关注的生成树。 一个生成树是一个图的子集,它包含了最少数量的边以连接该图中所有的顶点。 如下图所示。 从上图可以对 Spanning Tree 有一个非常直观和浅显的了解。 不过...
Kautz graphMatrix-tree theoremOriented spanning treeWeighted LaplacianWe generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph L G. The sandpile group is an abelian group associated to a directed graph, whose order is the number of ...
(一次看全集!)【游戏开发教程】各类迷宫自动生成算法详解 - 游戏算法全系列地形篇(持续更新中):BV11p4y1D7BL--- 这期节目算是个新系列的开始(算是游戏算法系列的镶嵌部分?) 本系列进度大概会跟游戏算法系列保持一致,也就是我在那边讲到什么知识点了这边就会出一期视频哈哈 请大家务必看一下这一期,是下期游戏算...
A directed graph can model any ordered relationship between objects. However, visualizing such graphs can be a challenging task. If the graph is undirected, a popular strategy is to choose a significant spanning tree, nominate a vertex as the root, for example the vertex whose distance from all...
We present an algorithm for enumerating all spanning trees of a directed graph with V vertices, E edges and N spanning trees. The algorithm takes O (log V ) time per spanning tree; more precisely, it runs in O ( N log V+V 2 α(V, V)+VE ) time. It first outputs a single spann...
.For example, if G has just one vertex and n loops, then LG is the complete directed graph on nvertices (which includes a loop at each vertex). If G has two vertices and no loops, then LG isa bidirected complete bipartite graph.An oriented spanning tree of G is a subgraph containing...
For any tree (V,E), we have |V|=|E|+1 An undirected acyclic graph is a forest, and each connected component is a tree. A directed acyclic graph is also called a DAG. Graph as an abstract data type Graph representation Adjacency list: For each vertex v, store a list of successors...
The line graph LG of a directed graph G has a vertex for every edge of G and an edge for every path of length 2 in G. In 1967, Knuth used the Matrix-Tree T... H Bidkhori,S Kishore - 《Mathematics》 被引量: 10发表: 2009年 Circulant matrices and sandpile groups of generalized de...
Not every plane graph has a good spanning tree. We show that every connected planar graph has a planar embedding with a good spanning tree. Using a good spanning tree, we show that every connected planar graph G of n vertices has a straight-line monotone grid drawing on an O(n)×O(n2...
This paper provides the first nontrivial partial solution to the tree problem: for a strongly connected planar directed graph of size n a directed spanning tree rooted at a specified vertex can be computed in $O(\log ^2 n)$ time with ${n / {\log n}}$ processors. This result ...