Almost Optimal Streaming Algorithms for Coverage Problems
MohammadHossein Bateni, Hossein Esfandiari, Vahab Mirrokni · 2017
Maximum coverage and minimum set cover problems---here collectively called coverage problems---have been studied extensively in streaming models. However, previous research not only achieves suboptimal approximation factors and space complexities but also study a restricted set-arrival model which makes an explicit or implicit assumption on oracle access to the sets, ignoring the complexity of reading and storing the whole set at once. In this paper, we address the above shortcomings and present algorithms with improved approximation factor and improved space complexity, and prove that our results are almost tight. Moreover, unlike most of the previous work, our results hold in a more general edge-arrival model.