In graph theory, a wheel graph is a graph formed by connecting a single universal vertex to all vertices of a cycle. A wheel graph with n vertices can also be defined as the 1-skeleton of an (n – 1)-gonal pyramid.

在 图论 这一 数学 分支中， 轮图 （wheel graph）是指一个 完全点 连接到一个 循环图 上所有节点而形成的图。 一些文献中 [1] 会使用记号 Wn 来表示有 n 个节点（n ≥ 4）的轮图；另一些文献中 [2] 则使用 Wn 来表示有 n +1个节点（n ≥ 3）的轮图，这里 n 是指形成轮图的循环图中节点的数量。 在本条目中使用前一种记号。 给定一个 点集 {1, 2, 3, …, v}，则若使用 集合建构式符号，轮图的 边集 可以表示为 { {1, 2}, {1, 3}, …, {1, v}, {2, 3}, {3, 4}, …, {v − 1, v}, {v, 2}}。 [3] 轮图是 平面 …

The wheel W_n can be defined as the graph join K_1+C_(n-1), where K_1 is the singleton graph and... As defined in this work, a wheel graph W_n of order n, sometimes simply called an n-wheel (Harary 1994, p. 46; Pemmaraju and Skiena 2003, p. 248; Tutte 2005, p. 78), is a graph that contains a cycle of order n-1 and for which every graph vertex ...

當 n 為奇數時， Wn 是一個 完美圖 （英語：perfect graph），其 色數 為3：環上的節點可以用兩種顏色染色，而中間的完全點使用第三種顏色。 當 n 為偶數時， Wn 的 色數 為4，且當 n ≥ 6時不是完美圖。 W7 是輪圖中在歐幾里得平面上的唯一一個 單位距離圖 （英語：unit distance graph）[4]。 輪圖 Wn 的 色多項式 為 。 在 擬陣 論中，兩類重要的擬陣 輪擬陣 （英語： wheel matroids）和 旋擬陣 （英語： whirl matroids）的概念都是輪圖的推廣。 輪圖 W6 是 埃爾德 …

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WNTR can generate a NetworkX data object that stores network connectivity as a graph. The ability to easily integrate NetworkX with WNTR facilitates the use of numerous standard graph algorithms, including algorithms that describe network structure. A graph is a collection of nodes that are connected by links.

In this chapter we will discuss Complete graphs (Kn), complete bi-partite graphs (Kn,m), cycle graphs (Cn), wheel graphs (Wn), and star graphs (Sn). We have looked at many different types of graphs in the first two units.

2016年1月25日 · Let $G$ be a graph and let $k \in N$. The chromatic polynomial $P_G(k)$ is the number of distinct $k$-colourings if the vertices of G. Standard results for chromatic polynomials: 1) $G = N_n$...

2019年12月17日 · Definition：如果图G能在平面上画出来，且任何两条边不相交，则称G为可平面图（planar graph），将可平面图在平面上画出得到的图为平面嵌入图（planar embedding）或平面图；

Wheel Graph: W n is a wheel graph. A wheel graph is a graph formed by connecting a single universal vertex to all vertices of a cycle. We can see in the above diagrams that the polygon is connected to a vertex at the centre resulting in a wheel like formation. It is regular for n = 3 or degree = 3. Q1. Which of the following graphs are trees ? A.