Physics – Physics and Society
Scientific paper
2009-04-14
Scientometrics 85, 301-315 (2010)
Physics
Physics and Society
9 pages, extended version with more practical conclusions and new references, misprints corrected, version to appear in Scient
Scientific paper
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.
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