1.

How many edges are there in a graph with 10 vertices each of degree 5?​

Answer»

ANSWER:

the sum of the degrees of the vertices is 6 ⋅ 10 = 60. The HANDSHAKING THEOREM says 2m = 60. So the number of edges is m = 30. Example: If a graph has 5 vertices, can each vertex have degree 3?



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