Draw 5-node connected planar graph with chromatic numbers of (a) 1, (b) 2, (c) 3, (d) 4, and (e) 5.
What will be an ideal response?
(a) A connected graph with more than one node cannot have chromatic number 1. Only a
single node graph can have a chromatic number equal to 1.
(b) For chromatic number equal to 2, refer to Figures 2.8(a)-(b).
(c) For chromatic number equal to 3, refer to Figures 2.9(a)-(b).
(d) For chromatic number equal to 4, refer to Figures 2.10(a)-(b).
(e) For chromatic number equal to 5, refer to Figures 2.11(a)-(b).
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