Article ID Journal Published Year Pages File Type
419066 Discrete Applied Mathematics 2014 5 Pages PDF
Abstract

Recently, Khuller, Moss and Naor presented a greedy algorithm for the budgeted maximum coverage problem. In this note, we observe that this algorithm also approximates a special case of a set-union knapsack problem within a constant factor. In the special case, an element is a member of less than a constant number of subsets. This guarantee naturally extends to densest kk-subgraph problem on graphs of bounded degree.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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