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- W1517384480 abstract "In the generalized Steiner tree problem, we find a minimumcost set of edges to connect a given set of source-sink pairs. In the online version of this problem, the source-sink pairs arrive over time. Agrawal, Klein, and Ravi give a 2-approximation algorithm for the offline problem; Berman and Coulston give an O(log n)-competitive algorithm for the online problem. Goemans and Williamson subsequently generalized the offline algorithm of Agrawal et al. to handle a large class of problems they called constrained forest problems, and other problems, such as the prize-collecting Steiner tree problem. In this paper, we show how to combine the ideas of Goemans and Williamson and those of Berman and Coulston to give an O(log n)-competitive algorithm for online constrained forest problems, including an online version of the prize-collecting Steiner tree problem." @default.
- W1517384480 created "2016-06-24" @default.
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- W1517384480 date "2011-01-01" @default.
- W1517384480 modified "2023-10-03" @default.
- W1517384480 title "An O(logn)-Competitive Algorithm for Online Constrained Forest Problems" @default.
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- W1517384480 doi "https://doi.org/10.1007/978-3-642-22006-7_4" @default.
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