Importance of intrinsic and non-network contribution in PageRank centrality and its effect on PageRank localization

PageRank centrality is used by Google for ranking web-pages to present search result for a user query. Here, we have shown that PageRank value of a vertex also depends on its intrinsic, nonnetwork contribution. If the intrinsic, non-network contributions of the vertices are proportional to their degrees or zeros, then their PageRank centralities become proportion to their degrees. Some simulations and empirical data are used to support our study. In addition, we have shown that localization of PageRank centrality depends upon the same intrinsic, non-network contribution.