Citation graph, weighted impact factors and performance indices

Karol Życzkowski

doi:10.1007/s11192-010-0208-6

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Scientometrics

Volume/Issue:: Volume 85: Issue 1

Citation graph, weighted impact factors and performance indices

Author:

Karol Życzkowski

Karol Życzkowski

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Pages:: 301–315

Online Publication Date:: 14 Mar 2010

Publication Date:: 01 Oct 2010

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s11192-010-0208-6

Keywords:: Citations; Performance index; Citation graph; Weighted bibliometric indices

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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.

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Scientometrics

Print ISSN:: 0138-9130

Online ISSN:: 1588-2861

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Scientometrics
Language	English
Size	B5
Year of Foundation	1978
Volumes per Year	1
Issues per Year	12
Founder	Akadémiai Kiadó
Founder's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0138-9130 (Print)
ISSN	1588-2861 (Online)