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.

A wheel graph is a graph formed by connecting a single vertex to all vertices of a cycle.

Being Hamilton-connected, the graph W 7 is 1TS-distance-balanced. ... The maximum traveling salesman problem (Max TSP) consists of finding a Hamiltonian cycle with the maximum total weight of...

W 7 是轮图中在欧几里得平面上的唯一一个 单位距离图 （ 英语 ： unit distance graph ） 。 轮图 W n 的 色多项式 为 P W n ( x ) = x ( ( x − 2 ) ( n − 1 ) − ( − 1 ) n ( x − 2 ) ) {\displaystyle P_{W_{n}}(x)=x((x-2)^{(n-1)}-(-1)^{n}(x-2))} 。

Wheel graphs are graceful (Frucht 1979), self-dual, pancyclic, and dominating unique. The wheel graph has graph dimension 2 for (and hence is unit-distance) and dimension 3 otherwise (and hence not unit-distance) (Erdős et al. 1965, Buckley and Harary 1988). Wheel graphs can be constructed in the Wolfram Language using WheelGraph[n].

Lists of all (W5,W7)-graphs for every order, in graph6 format. polycirculant Lower bound constructions coming from polycirculant graphs, specified in graph6 format.

For the sake of clarity, consider the wheel graph W 7 (see Figure 2.1). The automorphism group Aut (G) is isomorphic to the 6-element cyclic group C 6 , and corresponds to flips and 60 …

2018年2月9日 · The wheel graph of n vertices W n is a graph that contains a cycle of length n-1 plus a vertex v (sometimes called the hub) not in the cycle such that v is connected to every other vertex. The edges connecting v to the rest of the graph are sometimes called spokes.

2017年9月28日 · Prove that the wheel W7 W 7 is not decomposable into two isomorphic subgraphs. I wanted to show by stating that odd number of edges cannot be divided by 2 but I found wheel 7 has even number of edges so I have no idea how to start.

To begin drawing the graphs, identify what each given graph represents - K7 is a complete graph on 7 vertices, C7 is a cycle graph on 7 vertices, K4,4 is a complete bipartite graph with two parts of size 4, and W7 is a wheel graph on 7 vertices.