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On Approximation of Bookmark Assignments

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概要 Consider a rooted directed acyclic graph G = (V, E) with root r, representing a collection V of web pages connected via a set E of hyperlinks. Each node v is associated with the probability that a use...r wants to access the node v. The access cost is defined as the expected number of steps required to reach a node from the root r. A bookmark is an additional shortcut from r to a node of G, which may reduce the access cost. The bookmark assignment problem is to find a set of bookmarks that achieves the greatest improvement in the access cost. For the problem, the paper presents a polynomial time approximation algorithm with factor (1 − 1/e), and shows that there exists no polynomial time approximation algorithm with a better constant factor than (1 − 1/e) unless ${cal NP}subseteq {cal DTIME}(N^{O(loglog N)})$ , where N is the size of the inputs.続きを見る

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登録日 2009.07.01
更新日 2024.01.10