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Analyzing the relationships among the parameters for quantifying the qualityof research published in journals is a challenging task. In this paper, weanalyze the relationships between impact factor, h-index, and g-index of ajournal. To keep our analysis simple and easy to understand, we consider ageneralized version of the impact factor where there is no time window. In theabsence of the time window, the impact factor converges to the number ofcitations received per paper. This is not only justified for the impact factor,it simplifies the analysis of h-index and g-index as well because addition of atime window in the form of years complicates the computation of indices too. Wederive the expressions for the relationships among impact factor, h-index, andg-index and validate them using a given set of publication-citation data.

Analysis of Generalized Impact Factor and Indices of Journals