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.
Zyezkowski formulated weighted impact factor of journals using weighted citations, weighted impact factor of papers, weighted Hirsch index and weighted efficiency index REF .
Citation graph, weighted impact factors and performance indices
Scientometrics
Scientometrics
Mathematics Physics Computer Science