Table 1.
Authorship weights for the combined counting scheme with bonus b = 20%.
Table 2.
Authorship weights for the combined counting scheme with bonus b = 30%.
Fig 1.
Definition of the hW-index for (a) single-author publications, and (b) a mix of single- and multi-author publications. Quantity cr is the rank-citation profile of a scientist (or simply ‘citations’), Ar is the corresponding cumulative authorship profile of published papers (or simply ‘rank’). The blue dot shows the threshold value controlling the hW-index. The hW-index in (a) is identical with the standard h-index.
Table 3.
Standard, fractional and authorship-weighted ranking of researchers.
Fig 2.
The rank-citation profiles for individual researchers (upper panels) and research teams (lower panels). Left: the B-researchers, right: the C–researchers. Light grey colour–full counting, dark grey colour–authorship-weighted counting. The red line marks the threshold defining the h-index. The plots are analogous to those in Fig 1 except for the citations axis, which is logarithmic. Consequently, the threshold line becomes curved.
Fig 3.
The team hW-index as a function of the number of researchers in the team.
(a) The teams are formed by researchers with identical citation profiles: A (black line), B (blue line) or C (red line), respectively. (b) The teams are initially formed by three core A-researchers. The teams are further gradually extended either by the A-researchers (black line), the B-researchers (blue line) or the C-researchers (red line).
Table 4.
Standard, fractional and authorship-weighted ranking of selected astronomers and astrophysicists.
Fig 4.
The rank-citation profiles (left) and the collaboration profiles (right) for Peacock and Colless. Left: light grey colour–full counting, dark grey colour–authorship-weighted counting. The red line marks the threshold defining the h-index. The axis showing the number of authors is clipped at the maximum value of 40 authors. The collaboration profiles distinguish whether the researcher is the first author (in red) or not (in grey). The data are taken from the Web of Science (December, 2016).
Fig 5.
The rank-citation profiles (left) and the collaboration profiles (right) for Hawking and Draine. For details, see the caption of Fig 4.
Fig 6.
A comparison of the standard h-index and the fractional and authorship-weighted indices for selected highly-cited astronomers and astrophysicists.
Upper panel: the standard h-index (grey colour) and the authorship-weighted hW-index (red colour). Lower panel: differences between the standard h-index and the authorship-weighted hW-index (grey colour) and between the fractional hm-index and the authorship-weighted hW -index (red colour). Absolute values of the differences are shown. The lower panel indicates a good consistency between hm and hW.
Fig 7.
The team hW-index as a function of the number of researchers in two teams.
The teams are formed by researchers with identical citation profiles of Draine and Filippenko.