A wheel graph, denoted as Wn, is a graph formed by connecting a single universal vertex to all vertices of an (n-1)-cycle.

The number of edges in a wheel graph can be calculated as follows:

1. The (n-1)-cycle has (n-1) edges.
2. The universal vertex is connected to the n-1 vertices of the cycle, adding another (n-1) edges.

So, the total number of edges in a wheel graph Wn is (n-1) + (n-1) = 2(n-1).

Therefore, the correct answer is A. 2n-2.

Question

A wheel graph, denoted as Wn, is a graph formed by connecting a single universal vertex to all vertices of an (n-1)-cycle.

The number of edges in a wheel graph can be calculated as follows:

1. The (n-1)-cycle has (n-1) edges.
2. The universal vertex is connected to the n-1 vertices of the cycle, adding another (n-1) edges.

So, the total number of edges in a wheel graph Wn is (n-1) + (n-1) = 2(n-1).

Therefore, the correct answer is A. 2n-2.

Knowee AI · Accepted Answer

A wheel graph, denoted as Wn, is a graph formed by connecting a single universal vertex to all vertices of an (n-1)-cycle.

The number of edges in a wheel graph can be calculated as follows:

1. The (n-1)-cycle has (n-1) edges.
2. The universal vertex is connected to the n-1 vertices of the cycle, adding another (n-1) edges.

So, the total number of edges in a wheel graph Wn is (n-1) + (n-1) = 2(n-1).

Therefore, the correct answer is A. 2n-2.

A wheel graph 𝑊𝑛W n has how many edges?A. 2𝑛−22n−2B. 2𝑛−12n−1C. 2𝑛2nD. 2𝑛+12n+1