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 Post subject: Handshake Theorem for Non-simple graphsPosted: Wed, 6 Jul 2011 09:12:35 UTC
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Joined: Fri, 12 Nov 2010 07:00:12 UTC
Posts: 48
Does the Handshake Theorem (sum of degree of vertices is twice the number of edges) apply to non-simple graphs (ie. those with loops and parallel edges)?

Thank you very much for answering this basic question!
(I am a beginner in Graph theory).

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 Post subject: Re: Handshake Theorem for Non-simple graphsPosted: Wed, 6 Jul 2011 09:49:03 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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yoyobarn wrote:
Does the Handshake Theorem (sum of degree of vertices is twice the number of edges) apply to non-simple graphs (ie. those with loops and parallel edges)?

Thank you very much for answering this basic question!
(I am a beginner in Graph theory).

As long as you count appropriately, yes.

_________________

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 Post subject: Posted: Wed, 6 Jul 2011 10:57:01 UTC
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Joined: Fri, 12 Nov 2010 07:00:12 UTC
Posts: 48
ok thanks a lot, I think i get it..

just realised there was a different counting method for loops.

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