Solved: Consider the following algorithm. Input: A connected graph G. Output: A spanning
Chapter 50, Problem 50.18(choose chapter or problem)
Consider the following algorithm. Input: A connected graph G. Output: A spanning tree of G. (1) Let T be a copy of G. (2) Let e1; e2; : : : ; em be the edges of G. (3) For k D 1; 2; : : : ; m, do: (3a) If edge ek is not a cut edge of T , then delete ek from T (4) Output T . Prove that this algorithm is correct. In other words, prove that whenever the input to this algorithm is a connected graph, the output of this algorithm is a spanning tree of G.
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