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- W2034131445 abstract "We propose a 2-approximation algorithm for the maximum independent set problem for a unit disk graph. The time and space complexities are O(n3) and O(n2), respectively. For a penny graph, our proposed 2-approximation algorithm works in O(nlogn) time using O(n) space. We also propose a polynomial-time approximation scheme (PTAS) for the maximum independent set problem for a unit disk graph. Given an integer k>1, it produces a solution of size 1(1+1k)2|OPT| in O(k4nσklogk+nlogn) time and O(n+klogk) space, where OPT is the subset of disks in an optimal solution and σk≤7k3+2. For a penny graph, the proposed PTAS produces a solution of size 1(1+1k)|OPT| in O(22σknk+nlogn) time using O(2σk+n) space." @default.
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- W2034131445 date "2015-03-01" @default.
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- W2034131445 title "Approximation algorithms for maximum independent set of a unit disk graph" @default.
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- W2034131445 doi "https://doi.org/10.1016/j.ipl.2014.11.002" @default.
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