The well-known discrete theory of conjugate partitions, Ferrers graphs and Durfee squares is interpreted in informetrics. It is shown that partitions and their conjugates have the same h-index, a fact that is not true for the g- and R-index. A modification of Ferrers graph is presented, yielding...

Each information production process has a unique h-index. This paper studies the problem: what are possible h-index values if we merge two or more IPPs?

General results on transformations on information production processes (IPPs), involving transformations of the h-index and related indices, are applied in concrete, simple cases: doubling the production per source, doubling the number of sources, doubling the number of sources but halving their...

We show mathematically that the success-index can be any of the following impact indices, dependent on the value of the threshold used in the definition of the success-index: Hirsch-index (h-index), g-index, generalized Wu- and Kosmulski-indices, the average.

Based on the rank-order citation distribution of e.g. a researcher, one can define certain points on this distribution, hereby summarizing the citation performance of this researcher. Previous work of Glänzel and Schubert defined these so-called “characteristic scores and scales” (CSS),...

The minimum configuration to have a h-index equal to h is h papers each having h citations, hence h2 citations in total. To increase the h-index to h+1 we minimally need (h+1)2 citations, an increment of I1(h)=2h+1. The latter number increases with 2 per unit increase of h. This increment of the...

In this paper, we define a First-Citation-Speed-Index (FCSI) for a set of papers, based on their times of publication and of first citation. The index is based on the definition of a h-index for increasing sequences.