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How many edges are there in a graph with 31 vertices of degree 10 ?Answer

Question

How many edges are there in a graph with 31 vertices of degree 10 ?Answer

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Solution

The degree of a vertex in a graph is the number of edges connected to it. In this case, each vertex has a degree of 10, meaning it is connected to 10 other vertices by 10 edges.

Since there are 31 vertices, and each vertex has 10 edges, you might think that the total number of edges is 31 * 10 = 310. However, this counts each edge twice (once for each vertex it connects), so we need to divide by 2 to get the actual number of edges.

So, the total number of edges in the graph is (31 * 10) / 2 = 155.

This problem has been solved

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