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SOLVED:Find the minimum number of vertices in a simple, connected, planar graph with 12 edges. With 19 edges.
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SOLVED: Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8, and a vertex of degree 9. What can be the degree of the last vertex? Hint: We know that the sum of degrees of all vertices = 2 * number of edges. Let's say the number of edges is E. The degree of the last vertex is x. 1 2 3 4 5 6 7 8 9 x =
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