Citation graph, weighted impact factors and performance indices
Abstract
A scheme of evaluating an impact of a given scientific paper based on importance of papers quoting it is investigated. Introducing a weight of a given citation, dependent on the previous scientific achievements of the author of the citing paper, we define the weighting factor of a given scientist. Technically the weighting factors are defined by the components of the normalized leading eigenvector of the matrix describing the citation graph. The weighting factor of a given scientist, reflecting the scientific output of other researchers quoting his work, allows us to define weighted number of citation of a given paper, weighted impact factor of a journal and weighted Hirsch index of an individual scientist or of an entire scientific institution.
Keywords
Cite
@article{arxiv.0904.2110,
title = {Citation graph, weighted impact factors and performance indices},
author = {Karol Zyczkowski},
journal= {arXiv preprint arXiv:0904.2110},
year = {2010}
}
Comments
9 pages, extended version with more practical conclusions and new references, misprints corrected, version to appear in Scientometrics 2010