(a) Show that the 3-regular graph K4 contains two spanning trees T1 and T2 such that

Chapter 13, Problem 21

(choose chapter or problem)

(a) Show that the 3-regular graph K4 contains two spanning trees T1 and T2 such that {E(T1),E(T2)} is a partition of E(K4). (b) Give an example of a graph G of order 6 such that every vertex of G has degree 3 or 4 and G contains two spanning trees T1 and T2 for which {E(T1),E(T2)} is a partition of E(G).

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