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The Computational Complexity of Link Building

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Computing and Combinatorics (COCOON 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5092))

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Abstract

We study the problem of adding k new links to a directed graph G(V, E) in order to maximize the minimum PageRank value for a given subset of the nodes. We show that this problem is NP-hard if k is part of the input. We present a simple and efficient randomized algorithm for the simple case where the objective is to compute one new link pointing to a given node t producing the maximum increase in the PageRank value for t. The algorithm computes an approximation of the PageRank value for t in G(V, E ∪ {(v, t)}) for all nodes v with a running time corresponding to a small and constant number of PageRank computations.

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Xiaodong Hu Jie Wang

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© 2008 Springer-Verlag Berlin Heidelberg

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Olsen, M. (2008). The Computational Complexity of Link Building. In: Hu, X., Wang, J. (eds) Computing and Combinatorics. COCOON 2008. Lecture Notes in Computer Science, vol 5092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69733-6_13

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  • DOI: https://doi.org/10.1007/978-3-540-69733-6_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69732-9

  • Online ISBN: 978-3-540-69733-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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