2. Consider the following graph. a e h (a) Determine the chromatic number of G. Give...
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2. Consider the following graph. a e h (a) Determine the chromatic number of G. Give a minimal colouring and a proof that a smaller number of colours is not possible. (6) (b) Determine whether G has an Euler cycle or an Euler trail. (4) (c) Determine the number of edges in the complement of the graph. (3) (d) Determine a breadth-first spanning tree with i as root. (4) 2. Consider the following graph. a e h (a) Determine the chromatic number of G. Give a minimal colouring and a proof that a smaller number of colours is not possible. (6) (b) Determine whether G has an Euler cycle or an Euler trail. (4) (c) Determine the number of edges in the complement of the graph. (3) (d) Determine a breadth-first spanning tree with i as root. (4)
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