Abstract
Maximum independent set from a given set D of unit disks intersecting a horizontal line can be solved in O(n2) time and O(n2) space. As a corollary, we design a factor 2 approximation algorithm for the maximum independent set problem on unit disk graph which takes both time and space of O(n2). The best known factor 2 approximation algorithm for this problem runs in O(n2logn) time and takes O(n2) space [1,2].
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