Optimal random matchings, tours, and spanning trees in hierarchically separated trees
نویسندگان
چکیده
We derive tight bounds on the expected weights of several combinatorial optimization problems for random point sets of size n distributed among the leaves of a balanced hierarchically separated tree. We consider monochromatic and bichromatic versions of the minimum matching, minimum spanning tree, and traveling salesman problems. We also present tight concentration results for the monochromatic problems.
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ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 500 شماره
صفحات -
تاریخ انتشار 2013