# Talk:Wheel graph

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Field:  Discrete mathematics

I usually prefer to think about W_n as the wheel with n spokes, rather than the wheel with n vertices as this article implies. It'll require a lot of work to clean this up, though... Does anyone else have an opinion on this? Wandrer2 (talk) 02:45, 5 October 2009 (UTC)

Both notations are used and exist. I have no personal preference. Koko90 (talk) 11:15, 6 October 2009 (UTC)

It looks like the number of edges is 2n not 2(n-1) 128.82.4.231 (talk) 23:23, 17 November 2010 (UTC)

It depends on the notation. In this article the notation ${\displaystyle W_{n}}$ is used for a wheel graph with ${\displaystyle n}$ vertices in all (counting the central vertex), so the number of edges is ${\displaystyle 2(n-1)}$. Other authors use the notation ${\displaystyle W_{n}}$ to mean a wheel graph with ${\displaystyle n}$ vertices in the outer cycle (hence ${\displaystyle n+1}$ vertices in all), so the number of edges is ${\displaystyle 2n}$. This difference of notation is mentioned in the first paragraph of the article. —Bkell (talk) 11:43, 18 November 2010 (UTC)

I think the spectrum given (in the right hand panel) is for the wheel graph W_{n+1}. For example W_4, which according to teh notation used here is 3-regular and so its spectrum should be \{ -1, -1, -1, 3\} but this will certainly not be the spectrum yielded by what is in the panel. I am new to editing Wikipedia pages so am not sure of the correct protocol. Thanks, P. Healy. — Preceding unsigned comment added by Healyp (talkcontribs) 18:18, 5 November 2012 (UTC)