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- W2010303431 abstract "We give fast new approximation algorithms for the problem of choosing k planar points out of n to minimize the length of their minimum spanning tree (equivalently, of their traveling salesman tour or Steiner tree). For any x ≤ k, we can find an approximation achieving approximation ratio O(logklogx) in time O(nlogn + 2xknlogk). In particular, we get an approximation with ratio O(logklog logn) in time O(kn1+ϵ). We also show how to speed up other approximation methods without worsening their approximation ratios; for instance we can achieve a 1 + ϵ approximation ratio in time O(n(logn+ko(1ϵ)))." @default.
- W2010303431 created "2016-06-24" @default.
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- W2010303431 date "1997-10-01" @default.
- W2010303431 modified "2023-09-27" @default.
- W2010303431 title "Faster geometric k-point MST approximation" @default.
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- W2010303431 doi "https://doi.org/10.1016/s0925-7721(96)00021-1" @default.
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