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If G is a regular graph and d, e and v denote the degree, the number of edges and the number of vertices respectively, then e = dv/2.

Prove the above statement

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

since a line segment or "edge" has two ends, then yes, 1/2 is the formula. v=dots d=ends of lines on a dot. e=#ofline segs

Pretty obvious really if you draw a few. but to prove it, ask Ricky.

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Ricky? He's gone

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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