Question: 3. (6 pts) Let G be a non-complete, regular, simple 2-connected graph with maximum vertex degree Smax(G) 2 3. Show that x(G) S Smax(G). (Hint:

3. (6 pts) Let G be a non-complete, regular, simple 2-connected

3. (6 pts) Let G be a non-complete, regular, simple 2-connected graph with maximum vertex degree Smax(G) 2 3. Show that x(G) S Smax(G). (Hint: apply sequential coloring algorithm on its spanning tree and the following Lemma. Let G be a non-complete, k-regular 2-connected graph with k 2 3. Then G has a vertex x with two non-adjacent neighbors y and a such that G-{y, z} is a connected graph.)

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