Abstract
The main purposes of this article are to uncover interesting features in real-world citationnetworks, and to highlight important substructures. In particular, it applies lattice theory tocitation analysis. On the applied side, it shows that lattice substructures exist in real-word citationnetworks. It is further shown that, through its relations with co-citations and bibliographiccoupling, the diamond (a four-element lattice) is a basic structural element in citation analysis.Finally, citation compactness is calculated for the four- and five element lattices.
Similar content being viewed by others
References
G. H. Leazer, J. Furner, Topological indices of textual identity networks, In: L. Woods (Ed.), Knowledge: Creation, Organization and Use: Proceedings of the 62nd Annual Meeting of the American Society for Information Science, Information Today, Medford (NJ), 1999, 345-358.
E. Garfield, Citation indexes in sociological and historical research, American Documentation, 14(1963) 289-291.
M.M. Kessler, Bibliographic coupling between scientific papers, American Documentation, 14 (1963) 10-25.
A. E. Cawkell, Search strategy, construction and use of citation networks, within a socio-scientific example: “Amorphous semi-conductors and S.R. Ovshinsky”, Journal of the American Society for Information Science, 25 (1974) 123-130.
R. R. Korfhage, Informal communication of scientific information, Journal of the American Society for Information Science, 25 (1974) 25-32.
L. Egghe, R. Rousseau, Introduction to Informetrics, Elsevier, Amsterdam, 1990.
J. Margolis, Citation indexing and evaluation of scientific papers, Science, 155(1967) 1213-1219.
P. Caplan, W.Y. Arms, Reference linking for journal articles, D-Lib Magazine, 5(July/August) (1999), (to be found at: www.dlib.org).
S. Chakrabarti, B.E. Dom, S. R. Kumar, P. Raghavan, S. Rajagopalan, A. Tomkins, D. Gibson, J. Kleinberg, Mining the Web's link structure, Computer, 32(8): (1999) 60.67. 286 Scientometrics 50 (2001) Y.FANG, R. ROUSSEAU: Lattices in citation networks
A. Broder, R. Kumar, F. Maghoul, P. Raghavan, S. Rajagopalan, R. Stata, A. Tomkins, J. Wiener, Graph structure in the web. Paper presented at the 9th WWW conference (2000). http://www.almaden.ibm.com/cs/k53/www9final/
C. Carpineto, G. Romano, Order-theoretic ranking, Journal of the American Society for Information Science, 51 (2000) 587-601.
Y. Fang, A Methodological Study on Scientometrics, Ph.D.thesis, Peking University (in Chinese), 1999.
G. Birkhoff, T.C. Bartee, Modern Applied Algebra. McGraw-Hill, New York, 1970.
D. Nijssen, R. Rousseau, P. Van hecke, The Lorenz curve: A graphical representation of evenness, Coenoses, 13 (1998) 33-38.
L. Egghe, R. Rousseau, Symmetric and asymmetric theory of relative concentration and applications, Scientometrics, (to appear).
R. Rousseau, The Gozinto theorem: using citations to determine influences on a scientific publication. Scientometrics, 11 (1987) 217-229.
I. N. Sengupta, Bibliometrics, informetrics, scientometircs and librametrics: An overview, Libri, 42 (1992) 75-98.
H. Small, Co-citation in the scientific literature: A new measure of the relationship between two documents, Journal of the American Society for Information Science, 24 (1973) 265-269.
I. V. Marshakova, System of document connections based on references (in Russian), Nauchno-Tekhnicheskaya Informatsiya, 2 (1973) 3-8.
R. A. Botafogo, E. Rivlin, B. S Hneiderman, Structural analysis of hypertexts: identifying hierarchies and useful metrics, ACM Transactions on Information Systems, 10 (1992) 142-180.
P. De Bra, Using hypertext metrics to measure research output levels, Scientometrics, 47 (2000) 227-236.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yong, F., Rousseau, R. Lattices in citation networks: An investigation into the structure of citation graphs. Scientometrics 50, 273–287 (2001). https://doi.org/10.1023/A:1010573723540
Issue Date:
DOI: https://doi.org/10.1023/A:1010573723540