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In a cycle graph ๐ถ๐‘›C nโ€‹ , how many edges are there?A. ๐‘›nB. ๐‘›โˆ’1nโˆ’1C. ๐‘›+1n+1D. 2๐‘›2n

Question

In a cycle graph ๐ถ๐‘›C nโ€‹ , how many edges are there?A. ๐‘›nB. ๐‘›โˆ’1nโˆ’1C. ๐‘›+1n+1D. 2๐‘›2n

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Solution

The answer is A. ๐‘›n. In a cycle graph ๐ถ๐‘›, the number of edges is equal to the number of vertices, which is ๐‘›. Therefore, for every vertex in the graph, there is an edge connected to it, making the total number of edges ๐‘›.

Similar Questions

A complete graph on n vertices has how many edges?a.nb.n-1c.n(n-1)/2d.2n

The number of edges in a complete graph ๐พ๐‘›K nโ€‹ is:A. ๐‘›nB. ๐‘›โˆ’1nโˆ’1C. ๐‘›(๐‘›โˆ’1)22n(nโˆ’1)โ€‹ D. 2๐‘›2n

A wheel graph ๐‘Š๐‘›W nโ€‹ has how many edges?A. 2๐‘›โˆ’22nโˆ’2B. 2๐‘›โˆ’12nโˆ’1C. 2๐‘›2nD. 2๐‘›+12n+1

Which of the following is true for a complete graph ๐พ๐‘›K nโ€‹ ?A. It has ๐‘›(๐‘›โˆ’1)/2n(nโˆ’1)/2 edges.B. It has ๐‘›n edges.C. It has ๐‘›โˆ’1nโˆ’1 edges.D. It has ๐‘›(๐‘›+1)/2n(n+1)/2 edges.

What is the number of edges present in a complete graph having n vertices?

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