A new asymmetric inclusion region for minimum weight triangulation
نویسنده
چکیده
As a global optimization problem, planar minimum weight triangulation problem has attracted extensive research attention. In this paper, a new asymmetric graph called one-sided β-skeleton is introduced. We show that the one-sided circle-disconnected ( √ 2β)skeleton is a subgraph of a minimum weight triangulation. An algorithm for identifying subgraph of minimum weight triangulation using the one-sided ( √ 2β)-skeleton is proposed and it runs in O(n4/3+ +min{κ log n, n2 log n}) time, where κ is the number of intersected segmented between the complete graph and the greedy triangulation of the point set.
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عنوان ژورنال:
- J. Global Optimization
دوره 46 شماره
صفحات -
تاریخ انتشار 2010