Real and rational variants of the h-index and the g-index |
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| Authors: | Raf Guns Ronald Rousseau |
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| Institution: | 1. University of Antwerp, IBW, Venusstraat 35, City Campus, 2000 Antwerpen, Belgium;2. KHBO (Association K.U.Leuven), Industrial Sciences and Technology, Zeedijk 101, B-8400 Oostende, Belgium;3. Hasselt University, Universitaire Campus, B-3590 Diepenbeek, Belgium;4. K.U.Leuven, Steunpunt O&O Indicatoren and Dept. MSI, Dekenstraat 2, B-3000 Leuven, Belgium;1. National Engineering Research Center for Equipment and Technology of Cold Strip Rolling, Yanshan University, Qinhuangdao 066004, Hebei, China;2. State Key Laboratory of Rolling and Automation, Northeastern University, Shenyang 110004, Liaoning, China;3. Anshan Iron and Steel Company, Anshan 114001, Liaoning, China;1. SciTech Strategies, Inc., 105 Rolling Road, Bala Cynwyd, PA 19004, USA;2. National Institute of Arthritis and Musculoskeletal and Skin Diseases, National Institutes of Health, 6701 Democracy Boulevard, Bethesda, MD 20892, USA;3. SciTech Strategies, Inc., 58 Russell Street, Keene, NH 03431, USA;1. Department of Computer Science and Engineering, IIT Roorkee, India;2. Department of Computer Science and Engineering, IIT Gandhinagar, India;3. Department of Computer Science and Engineering, IIT Kharagpur, India;4. Department of Computer Science and Engineering, IIT Bombay, India;1. Dept. Computer Science, University of Cádiz, Spain;2. Dept. Social Work, UNIR Research, La Rioja, Spain;3. Dept. Management and Marketing, University of Jaén, Spain;4. Intelligent Software Systems Laboratory, Iwate Prefectural University, Japan;5. Dept. Computer Science and Artificial Intelligence, University of Granada, Spain |
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| Abstract: | The definitions of the rational and real-valued variants of the h-index and g-index are reviewed. It is shown how they can be obtained both graphically and by calculation. Formulae are derived expressing the exact relations between the h-variants and between the g-variants. Subsequently these relations are examined. In a citation context the real h-index is often, but not always, smaller than the rational h-index. It is also shown that the relation between the real and the rational g-index depends on the number of citations of the article ranked g + 1. Maximum differences between h, hr and hrat on the one hand and between g, gr and grat on the other are determined. |
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