91. When a graph has been drawn on a piece of paper so that edges meet only at vertices, the graph divides the paper up into regions called faces. The faces include one called the “infinite” face, which surrounds the whole graph. The face-coloring number of a graph (which can be drawn in this special way) is the minimum number of colors needed to color the faces of so that two faces sharing an edge receive different colors. (Note that if two faces meet only at a vertex, they can be colored the same color.)
91.
(a) Graph (a) 2 (b) 4 (c) 4 (d) 4 (e) 3 (f) 3
(b) Answers will vary.