An $O(n\log n)$-Time Algorithm for the $k$-Center Problem in Trees
نویسندگان
چکیده
We consider a classical $k$-center problem in trees. Let $T$ be tree of $n$ vertices such that every vertex has nonnegative weight. The is to find $k$ centers on the edges t...
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An O(n\log n)-Time Algorithm for the k-Center Problem in Trees
We consider a classical k-center problem in trees. Let T be a tree of n vertices and every vertex has a nonnegative weight. The problem is to find k centers on the edges of T such that the maximum weighted distance from all vertices to their closest centers is minimized. Megiddo and Tamir (SIAM J. Comput., 1983) gave an algorithm that can solve the problem in O(n log n) time by using Cole’s par...
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ژورنال
عنوان ژورنال: SIAM Journal on Computing
سال: 2021
ISSN: ['1095-7111', '0097-5397']
DOI: https://doi.org/10.1137/18m1196522