Approximation algorithms for the traveling salesman problem with range condition
Approximation Algorithms for the Traveling Salesman Problem with Range Condition
We prove that the Christofides algorithm gives a approximation ratio for the special case of traveling salesman problem (TSP) in which the maximum weight in the given graph is at most twice the minimum weight for the graphs. A graph is if the number of odd degree vertices in any minimum spanning tree of the given graph is less than times the number of vertices in the graph. We prove that the Christofides algorithm is more efficient (in terms of runtime) than the previous existing algorithms...
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