Three novel indirect indicators for the assessment of papers and authors based on generations of citations

Eleni Fragkiadaki, Georgios Evangelidis. 2016. Three novel indirect indicators for the assessment of papers and authors based on generations of citations. Scientometrics 102, 2 (February 2016)

DOI: 10.1007/s11192-015-1802-4

Abstract

A new indirect indicator is introduced for the assessment of scientific publications. The proposed indicator (𝑓𝑝𝑘-index) takes into account both the direct and indirect impact of scientific publications and their age. The indicator builds on the concept of generations of citations and acts as a measure of the accumulated impact of each scientific publication. A number of cases are examined that demonstrate the way the indicator behaves under well defined conditions in a Paper-Citation graph, like when a paper is cited by a highly cited paper, when cycles exist and when self-citations and chords are examined. Two new indicators for the assessment of authors are also proposed (fa-index and fas-index) that utilize the 𝑓𝑝𝑘-index values of the scientific publications included in the Publication Record of an author. Finally, a comparative study of the 𝑓𝑝𝑘 and 𝑓𝑎𝑘 indices and a list of well known direct (Number of Citations, Mean number of citations, Contemporary h-index) and indirect (PageRank, SCEAS) indicators is presented.