Question: Consider a complete undirected graph G = ( V , E ) in which all edge lengths are either 1 or 2 . Propose a

Consider a complete undirected graph G =(V, E) in which all edge lengths
are either 1 or 2. Propose a 4/3-approximation algorithm for the Traveling
Salesman Problem on such graphs.
Hint: A 2-matching is a subset S of edges such that every vertex has exactly
2 edges of S incident on it. For a start, find a minimum 2-matching in G. You
may assume that a 2-matching can be found in polynomial-time.
can you please solve this problem using a reduction to a known 4/3 problem?

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