English

An approximation algorithm for the link building problem

Data Structures and Algorithms 2015-03-20 v1 Social and Information Networks

Abstract

In this work we consider the problem of maximizing the PageRank of a given target node in a graph by adding kk new links. We consider the case that the new links must point to the given target node (backlinks). Previous work shows that this problem has no fully polynomial time approximation schemes unless P=NPP=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.

Keywords

Cite

@article{arxiv.1204.1369,
  title  = {An approximation algorithm for the link building problem},
  author = {Martin Olsen and Anastasios Viglas and Ilia Zvedeniouk},
  journal= {arXiv preprint arXiv:1204.1369},
  year   = {2015}
}
R2 v1 2026-06-21T20:45:31.662Z