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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 | |