1.

Let d denote the minimum degree of a vertex in a graph. For all planar graphs on n vertices with d ≥ 3, which one of the following is TRUE?

A. In any planar embedding, the number of faces is at least n/2 + 2
B. In any planar embedding, the number of faces is less than n/2 + 2
C. There is a planar embedding in which the number of faces is less than n/2 + 2
D. There is a planar embedding in which the number of faces is at most n/(d+1)
Answer» B. In any planar embedding, the number of faces is less than n/2 + 2


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