Suppose graph G is simple, connected, and has the degree sequence 5, 3, 2, 2, 1, 1. 10. a) Can G contain an Euler circuit? Explain. b) Can G be a tree? Explain by using some appropriate theorem(s) about trees. :) Draw one graph G that has all of these properties: G is simple, connected, and has the degree sequence 5, 3, 2, 2, 1, 1.

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