Tessellate S.T.E.M.S - Mathematics - School - Set 2 - Problem 4
Probability
Level
2
Which of the following can be degrees of vertices of a graph with vertices?
This problem is a part of Tessellate S.T.E.M.S.
0, 3, 2, 1, 0, 2, 2
0, 1, 2, 3, 4, 3, 2
0, 3, 0, 2, 3, 1, 2
1, 1, 1, 2, 2, 2, 2
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For an undirected graph G = ( V , E )
∑ d = 2 e
Where d is degree of each vertices and e is the number of edges.
Therefore the sum must be even which corresponds to only c.