%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. © 2008 Wiley Periodicals, Inc.

@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. © 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://www.bibsonomy.org/bibtex/2911412afc8ca68fcf60d6256f1c3c9df/sdo}, 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 }