Bottleneck non-crossing matching in the plane
نویسندگان
چکیده
منابع مشابه
Bottleneck Non-crossing Matching in the Plane
Let P be a set of 2n points in the plane, and letMC (resp.,MNC) denote a bottleneck matching (resp., a bottleneck non-crossing matching) of P . We study the problem of computing MNC. We first prove that the problem is NP-hard and does not admit a PTAS. Then, we present an O(n log n)-time algorithm that computes a noncrossing matching M of P , such that bn(M) ≤ 2 √ 10 · bn(MNC), where bn(M) is t...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2014
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2013.10.005