An efficient elimination strategy for solving PageRank problems

Autor: Zhao-Li Shen, Chun Wen, Ting-Zhu Huang, Xian-Ming Gu, Bruno Carpentieri
Přispěvatelé: Computational and Numerical Mathematics
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Applied Mathematics and Computation, 298, 111-122. ELSEVIER SCIENCE INC
ISSN: 0096-3003
Popis: In Web link structures, similar link distributions often occur, especially for pages from same hosts. For PageRank problems, similar in-link distributions of pages result in similar row patterns of the transition matrix. We demonstrate that common row patterns in the transition matrix determine identical sub-rows. Thus the identical sub-rows with a large proportion of nonzeros can be eliminated to decrease the density of PageRank problems. We propose an elimination strategy that exploits such identical sub-rows and generates an elimination operator for transferring the problem to an equivalent but more sparse problem. Numerical experiments are reported to illustrate the effectiveness of this strategy for decreasing the computational cost of solving PageRank problems. (C) 2016 Elsevier Inc. All rights reserved.
Databáze: OpenAIRE