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# Why cant you have an odd number of odd vertices in a graph.

1. I'm finding it difficult to find an explanation for why this happens. Can someone help out?
I'm finding it difficult to find an explanation for why this happens. Can someone help out?
Are you referring to a complete graph? Any particular conditions?
I'm finding it difficult to find an explanation for why this happens. Can someone help out?
The sum of the degrees of the vertices has to be even, because you are counting each edge twice, from both ends.
If there were an odd number of odd vertices, the sum of the degrees would be odd.
4. (Original post by RDKGames)
Are you referring to a complete graph? Any particular conditions?
Oh hi again. I got my answer but ill give you a merit anyway. Thanks for your help

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