Path graph - Wikipedia
In the mathematical field of graph theory, a path graph (or linear graph) is a graph whose vertices can be listed in the order v 1, v 2, ..., v n such that the edges are {v i, v i+1} where i = 1, 2, ..., n − 1.
Path Graph -- from Wolfram MathWorld
6 days ago · A path graph is therefore a graph that can be drawn so that all of its vertices and edges lie on a single straight line (Gross and Yellen 2006, p. 18). The path graph of length n is implemented in the Wolfram Language as PathGraph[Range[n]], and precomputed properties of path graphs are available as GraphData[{"Path", n}].
Path (graph theory) - Wikipedia
In graph theory, a path in a graph is a finite or infinite sequence of edges which joins a sequence of vertices which, by most definitions, are all distinct (and since the vertices are distinct, so are the edges).
图的类型——图论与SAT - 知乎 - 知乎专栏
将一个无向图的每一条边加上一个方向，得到的 有向图 称为一个orientation，或者 Oriented graph，这样的图中任意2个点最多有一条有向边相连。 最近学SAT遇到不少图- -，嘛，所以不怎么谈计科以外的部分 不管是什么结构，只要结构中的对象存在一种二元联系，那么总是可以找到一个 图来描述它，这里说的图是用一些有向边或无向边把一些点连起来，无所谓其中边…
在上述的迷宫中,我们可以从p 走到q 么?Yes! 我们来给出图上关于路的概念。 定义1 [ 通路]. vi−1 和vi “,则称这个序列是G 中的一条通路。 Γ中边的数目称为这条通路的长度,记作. | 。 特别的,若v0 …
图论中cycle、path、walk、loop都是什么意思？ - 知乎
path得和walk, trail 三个概念一起讲。 各个点可以通过一条线直接相连，也可以通过一系列线间接相连。 在一个图中的这一系列线就叫做一条“线路 (walk)" 。 如果线路没有重合的边，则称该线路为”轨迹 (trail)“, 有可能有重复的点。 图论中的路径类型有 walk, trail, path, cycle 等，视频以直观且形象的方式让你瞬间理解它们各自代表什么意思～ 图论中cycle、path、walk、loop都是什么意思？ 他们有什么区别和联系？ 较为准确的中文翻译是什么？
PATH（图论中的path）_百度百科
path是指从图上一点到另外一点所经过的不会重合的点和边的集合，可以将它视为一种特殊的图（这种图两端点的度数为1，中间端点度数为2）。 中文名 路径
Graph Path -- from Wolfram MathWorld
A path in a graph G is a subgraph of G that is a path graph (West 2000, p. 20). The length of a path is the number of edges it contains. In most contexts, a path must contain at least one edge, though in some applications (e.g., defining the path covering number), "degenerate" paths of length 0 consisting of a single vertex are allowed (Boesch ...
12.3: Paths and Cycles - Mathematics LibreTexts
We have a special name for a walk that does not allow vertices to be re-visited. A walk in which no vertex appears more than once is called a path. For n ≥ 0 n ≥ 0, a graph on n + 1 n + 1 vertices whose only edges are those used in a path of length n n (which is a walk of length n n that is also a path) is denoted by Pn P n.
A path in a graph G = (V, E) is a sequence of one or more nodes v₁, v₂, v₃, …, vₙ such that any two consecutive nodes in the sequence are adjacent. A cycle in a graph is a path from a node back to itself. (By convention, a cycle cannot have length zero.) A cycle in a graph is a path from a node back to itself. (By convention, a cycle ...