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Mathematical theory of the h- and g-index in case of fractional counting of authorship

L. Egghe. J. Am. Soc. Inf. Sci. Technol. (August 2008)

Zusammenfassung

This article studies the h-index (Hirsch index) and the g-index of authors, in case one counts authorship of the cited articles in a fractional way. There are two ways to do this: One counts the citations to these papers in a fractional way or one counts the ranks of the papers in a fractional way as credit for an author. In both cases, we define the fractional h- and g-indexes, and we present inequalities (both upper and lower bounds) between these fractional h- and g-indexes and their corresponding unweighted values (also involving, of course, the coauthorship distribution). Wherever applicable, examples and counterexamples are provided. In a concrete example (the publication citation list of the present author), we make explicit calculations of these fractional h- and g-indexes and show that they are not very different from the unweighted ones. © 2008 Wiley Periodicals, Inc.

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Mathematical theory of the h- and g-index in case of fractional counting of authorship

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http://portal.acm.org/citation.cfm?id=1398018.1398026

BibTeX-Schlüssel:

egghe2008mathematical

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@article{egghe2008mathematical,
  abstract = {This article studies the h-index (Hirsch index) and the g-index of authors, in case one counts authorship of the cited articles in a fractional way. There are two ways to do this: One counts the citations to these papers in a fractional way or one counts the ranks of the papers in a fractional way as credit for an author. In both cases, we define the fractional h- and g-indexes, and we present inequalities (both upper and lower bounds) between these fractional h- and g-indexes and their corresponding unweighted values (also involving, of course, the coauthorship distribution). Wherever applicable, examples and counterexamples are provided. In a concrete example (the publication citation list of the present author), we make explicit calculations of these fractional h- and g-indexes and show that they are not very different from the unweighted ones. &copy; 2008 Wiley Periodicals, Inc.},
  acmid = {1398026},
  added-at = {2011-06-21T11:36:28.000+0200},
  address = {New York, NY, USA},
  author = {Egghe, Leo},
  biburl = {https://puma.uni-kassel.de/bibtex/2911412afc8ca68fcf60d6256f1c3c9df/stephandoerfel},
  description = {Mathematical theory of the h- and g-index in case of fractional counting of authorship},
  doi = {10.1002/asi.v59:10},
  interhash = {545ee9605bc386f0246769a38ee5e847},
  intrahash = {911412afc8ca68fcf60d6256f1c3c9df},
  issn = {1532-2882},
  issue = {10},
  journal = {J. Am. Soc. Inf. Sci. Technol.},
  keywords = {bibimetric citation g-index h-index publication},
  month = {August},
  numpages = {9},
  pages = {1608--1616},
  publisher = {John Wiley \& Sons, Inc.},
  timestamp = {2011-06-21T11:36:28.000+0200},
  title = {Mathematical theory of the h- and g-index in case of fractional counting of authorship},
  url = {http://portal.acm.org/citation.cfm?id=1398018.1398026},
  volume = 59,
  year = 2008
}

%0 Journal Article
%1 egghe2008mathematical
%A Egghe, Leo
%C New York, NY, USA
%D 2008
%I John Wiley & Sons, Inc.
%J J. Am. Soc. Inf. Sci. Technol.
%K bibimetric citation g-index h-index publication
%P 1608--1616
%R 10.1002/asi.v59:10
%T Mathematical theory of the h- and g-index in case of fractional counting of authorship
%U http://portal.acm.org/citation.cfm?id=1398018.1398026
%V 59
%X This article studies the h-index (Hirsch index) and the g-index of authors, in case one counts authorship of the cited articles in a fractional way. There are two ways to do this: One counts the citations to these papers in a fractional way or one counts the ranks of the papers in a fractional way as credit for an author. In both cases, we define the fractional h- and g-indexes, and we present inequalities (both upper and lower bounds) between these fractional h- and g-indexes and their corresponding unweighted values (also involving, of course, the coauthorship distribution). Wherever applicable, examples and counterexamples are provided. In a concrete example (the publication citation list of the present author), we make explicit calculations of these fractional h- and g-indexes and show that they are not very different from the unweighted ones. &copy; 2008 Wiley Periodicals, Inc.

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Mathematical theory of the h- and g-index in case of fractional counting of authorship

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