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March 16th, 2014, 02:44 PM   #1
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Some Graph Theory Help

I am just learning graph theory and we have a couple practice questions which I was hoping someone could point me into the right direction. It seems relatively easy I just need some starting points. I am having more trouble with the first I think.

6) The graph G_n has vertices which are all possible subsets of a set of size n. Two vertices are adjacent if one subset can be obtained from the other by removing one element.
a) Draw G_4.
b) Determine, with justification, the number of vertices and edges of G_n.

9) Let G be a simple graph with n vertices. Prove that if every vertex of the graph has degree at least (n/2) then the graph is connected.


any help on starting these would be greatly appreciated.

Thanks in advance!
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March 18th, 2014, 05:38 PM   #2
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Re: Some Graph Theory Help

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