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Let G = (V,E) be an undirected graph with ''e'' edges. Then | Let G = (V,E) be an undirected graph with ''e'' edges. Then | ||
| − | 2''e'' = <math>\sum_{\forall v\in V | + | 2''e'' = <math>\sum_{\forall v\in V \,deg(v)}</math> |
Revision as of 06:15, 31 August 2008
I do not really have a favorite theorem but one that I like and can remember is The Handshake Theorem from discrete. I liked it because I understood it and it was a very useful theorem to use in the class. No one else has the same favorite theorem.
The Handshake Theorem states: Let G = (V,E) be an undirected graph with e edges. Then
2e = $ \sum_{\forall v\in V \,deg(v)} $
