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Axiomatic characterisation of a bibliometric index provides insight into the properties that the index satisfies and facilitates the comparison of different indices. A geometric generalisation of the $h$-index, called the $\chi$-index, has…

Digital Libraries · Computer Science 2019-06-25 Mark Levene , Trevor Fenner , Judit Bar-Ilan

Clustering of publication networks is an efficient way to obtain classifications of large collections of research publications. Such classifications can be used to, e.g., detect research topics, normalize citation relations, or explore the…

Digital Libraries · Computer Science 2024-03-15 Peter Sjögårde , Per Ahlgren

Following the widespread digitalization of scholarship, software has become essential for research, but the current sociotechnical system of citation does not reflect this sufficiently. Citation provides context for research, but the…

Digital Libraries · Computer Science 2025-06-26 Stephan Druskat

One is inclined to conceptualize impact in terms of citations per publication, and thus as an average. However, citation distributions are skewed, and the average has the disadvantage that the number of publications is used in the…

Digital Libraries · Computer Science 2012-04-10 Loet Leydesdorff

Citation analysis, as a tool for quantitative studies of science, has long emphasized direct citation relations, leaving indirect or high order citations overlooked. However, a series of early and recent studies demonstrate the existence of…

Social and Information Networks · Computer Science 2020-04-28 Chao Min , Qingyu Chen , Erjia Yan , Yi Bu , Jianjun Sun

Estimating the expected impact of an article is valuable for various applications (e.g., article/cooperator recommendation). Most existing approaches attempt to predict the exact number of citations each article will receive in the near…

Information Retrieval · Computer Science 2021-01-01 Thanasis Vergoulis , Ilias Kanellos , Giorgos Giannopoulos , Theodore Dalamagas

Information spread on networks can be efficiently modeled by considering three features: documents' content, time of publication relative to other publications, and position of the spreader in the network. Most previous works model up to…

Machine Learning · Computer Science 2022-12-13 Gaël Poux-Médard , Julien Velcin , Sabine Loudcher

Evaluating the performance of researchers and measuring the impact of papers written by scientists is the main objective of citation analysis. Various indices and metrics have been proposed for this. In this paper, we propose a new citation…

Digital Libraries · Computer Science 2015-02-19 Arindam Pal , Sushmita Ruj

I study the measurement of scientists' influence using bibliographic data. The main result is an axiomatic characterization of the family of citation-counting indices, a broad class of influence measures which includes the renowned h-index.…

Digital Libraries · Computer Science 2023-09-20 Antonin Macé

A multiple-perspective co-citation analysis method is introduced for characterizing and interpreting the structure and dynamics of co-citation clusters. The method facilitates analytic and sense making tasks by integrating network…

Computers and Society · Computer Science 2017-10-24 Chaomei Chen , Fidelia Ibekwe-SanJuan , Jianhua Hou

There are various mathematical models proposed in the recent literature for estimating the h-index through bibliometric measures, such as number of articles (P) and citations received (C). These models have been previously empirically…

Digital Libraries · Computer Science 2017-08-29 Chrisovalantis Malesios

We develop a model for the distribution of scientific citations. The model involves a dual mechanism: in the direct mechanism, the author of a new paper finds an old paper A and cites it. In the indirect mechanism, the author of a new paper…

Physics and Society · Physics 2011-03-08 G. J. Peterson , S. Pressé , K. A. Dill

In this work, we introduce metrics to evaluate the use of simplified time series in the context of interpretability of a TSC -- a Time Series Classifier. Such simplifications are important because time series data, in contrast to text and…

Machine Learning · Computer Science 2025-11-04 Brigt Håvardstun , Felix Marti-Perez , Cèsar Ferri , Jan Arne Telle

Understanding the mechanisms driving the distribution of scientific citations is a key challenge in assessing the scientific impact of authors. We investigate the influence of the preferential attachment rule (PAR) in this process by…

Digital Libraries · Computer Science 2025-09-23 Maciej J. Mrowinski , Aleksandra Buczek , Agata Fronczak

Over the past decade, national research evaluation exercises, traditionally conducted using the peer review method, have begun opening to bibliometric indicators. The citations received by a publication are assumed as proxy for its quality,…

Digital Libraries · Computer Science 2018-11-01 Giovanni Abramo , Tindaro Cicero , Ciriaco Andrea D'Angelo

The h-index provides us with nine natural classes which can be written as a matrix of three vectors. The three vectors are: X=(X1, X2, X3) indicate publication distribution in the h-core, the h-tail, and the uncited ones, respectively;…

Digital Libraries · Computer Science 2013-07-16 Fred Y. Ye , Loet Leydesdorff

A new, simple method to approach enumerative questions about rational curves on rational surfaces is described. Applications include a short proof of Kontsevich's formula for plane curves and a the solution of the analogous problem for the…

alg-geom · Mathematics 2008-02-03 Lucia Caporaso , Joe Harris

We present a general Bayesian method for quantifying the statistical reliability of one-dimensional measures of scientific quality based on citation data. Two quality measures used in practice -- ``papers per year'' and ``Hirsch's $h$'' --…

Physics and Society · Physics 2007-05-23 Sune Lehmann , Andrew D. Jackson , Benny E. Lautrup

Percentiles are statistics pointing to the standing of a paper's citation impact relative to other papers in a given citation distribution. Percentile Ranks (PRs) often play an important role in evaluating the impact of scholars,…

Digital Libraries · Computer Science 2020-05-04 Lutz Bornmann , Richard Williams

Following Henry Small in his approach to co-citation analysis, highly cited sources are seen as concept symbols of research fronts. But instead of co-cited sources I cluster citation links, which are the thematically least heterogenous…

Digital Libraries · Computer Science 2022-01-26 Frank Havemann