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A Constant-Factor Approximation Algorithm for the Link Building Problem

2010; Springer Science+Business Media; Linguagem: Inglês

10.1007/978-3-642-17461-2_7

1611-3349

Martin Olsen, Anastasios Viglas, Ilia Zvedeniouk,

Advanced Graph Theory Research

In this work we consider the problem of maximizing the PageRank of a given target node in a graph by adding k new links. We consider the case that the new links must point to the given target node (backlinks). Previous work [7] shows that this problem has no fully polynomial time approximation schemes unless P = NP. We present a polynomial time algorithm yielding a PageRank value within a constant factor from the optimal. We also consider the naive algorithm where we choose backlinks from nodes with high PageRank values compared to the outdegree and show that the naive algorithm performs much worse on certain graphs compared to the constant factor approximation scheme.