2009/04/30 by Karol Zyczkowski
Physics and Astronomy · #physics.soc-ph
published as Scientometrics 85, 301-315 (2010) · 9 pages, extended version with more practical conclusions and new references, misprints corrected, version to appear in Scientometrics 2010
arxiv created 2010/03/11 · arxiv updated 2010/10/08
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.