The Computational Complexity of Link Building

  • Authors:
  • Martin Olsen

  • Affiliations:
  • MADALGO Department of Computer Science, University of Aarhus, Aarhus N, Denmark DK 8200

  • Venue:
  • COCOON '08 Proceedings of the 14th annual international conference on Computing and Combinatorics
  • Year:
  • 2008

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Abstract

We study the problem of adding knew 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 kis part of the input. We present a simple and efficientrandomized algorithm for the simple case where the objective is to compute onenew link pointing to a given node tproducing the maximum increase in the PageRank value for t. The algorithm computes an approximation of the PageRank value for tin G(V, E茂戮驴 {(v, t)}) for all nodes vwith a running time corresponding to a smalland constantnumber of PageRank computations.