@inproceedings{7987ca04818e43a78ea0247f8b474133,
title = "Nonparametric analysis of extremes on web graphs: PageRank versus max-linear model",
abstract = "We analyze the cluster structure in large networks by means of clusters of exceedances regarding the influence characteristics of nodes. As the latter characteristics we use PageRank and the Max-Linear model and compare their distributions and dependence structure. Due to the heaviness of tail and dependence of PageRank and Max-Linear model observations, the influence indices appear by clusters or conglomerates of nodes grouped around influential nodes. The mean size of such clusters is determined by a so called extremal index. It is related to the tail index that indicates the heaviness of the distribution tail. We consider graphs of Web pages and partition them into clusters of nodes by their influence.",
keywords = "Extremal index, Max-Linear model, PageRank, Tail index, Web graph",
author = "Markovich, \{Natalia M.\} and Maxim Ryzhov and Krieger, \{Udo R.\}",
note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; 20th International Conference on Distributed Computer and Communication Networks, DCCN 2017 ; Conference date: 25-09-2017 Through 29-09-2017",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-66836-9\_2",
language = "English",
isbn = "9783319668352",
series = "Communications in Computer and Information Science",
publisher = "Springer Verlag",
pages = "13--26",
editor = "Samouylov, \{Konstantin E.\} and Vishnevskiy, \{Vladimir M.\} and Kozyrev, \{Dmitry V.\}",
booktitle = "Distributed Computer and Communication Networks - 20th International Conference, DCCN 2017, Proceedings",
address = "Germany",
}