More axiomatics for the Hirsch index
The Hirsch index is a number that synthesizes a researchers output. It is defined as the maximum number h such that the researcher has h papers with at least h citations each. Woeginger (Math Soc Sci 56: 224232, 2008a; J Informetr 2: 298303, 2008b) suggests two axiomatic characterizations of the Hirsch index using monotonicity as one of the axioms. This note suggests three characterizations without adopting the monotonicity axiom.
hirsch index citations axiomatic characterization publications research quality