Authors: Fred Ye and Ronald Rousseau
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  • 1 Zhejiang University Department of Information Resources Management Hangzhou China
  • | 2 Institute of Scientific and Technical Information of China Beijing China
  • | 3 KHBO (Association K.U.Leuven) Department of Industrial Sciences and Technology Zeedijk 101 8400 Oostende Belgium
  • | 4 K.U.Leuven Department of Mathematics Celestijnenlaan 200B 3001 Heverlee, Leuven Belgium
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Abstract  

The set of citations received by a set of publications consists of citations received by articles in the h-core and citations received by articles in the h-tail. Denoting the cardinalities of these fours sets as C, P, CH and CT we introduce the tail-core ratio (CT/CH) and show that in practical cases this ratio tends to increase. Introducing further the k-index, defined as k = (C/P)/(CT/CH), we show that this index decreases in most practical cases. A power law model is in accordance with these practical observations.

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Scientometrics
Language English
Size B5
Year of
Foundation
1978
Volumes
per Year
1
Issues
per Year
12
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0138-9130 (Print)
ISSN 1588-2861 (Online)