The structure of scientific collaboration networks.

The structure of scientific collaboration networks is investigated. Two scientists are considered connected if they have authored a paper together and explicit networks of such connections are constructed by using data drawn from a number of databases, including MEDLINE (biomedical research), the Los Alamos e-Print Archive (physics), and NCSTRL (computer science). I show that these collaboration networks form "small worlds," in which randomly chosen pairs of scientists are typically separated by only a short path of intermediate acquaintances. I further give results for mean and distribution of numbers of collaborators of authors, demonstrate the presence of clustering in the networks, and highlight a number of apparent differences in the patterns of collaboration between the fields studied.

[1]  L. Ward.  Social Forces , 1911, The Psychological Clinic.

[2]  Thomas J. Fararo,et al.  A study of a biased friendship net , 1964 .

[3]  D J PRICE,et al.  NETWORKS OF SCIENTIFIC PAPERS. , 1965, Science.

[4]  Sharon L. Milgram,et al.  The Small World Problem , 1967 .

[5]  H. White.  Search Parameters for the Small World Problem , 1970 .

[6]  Béla Bollobás,et al.  Random Graphs , 1985 .

[7]  S. Redner,et al.  Introduction To Percolation Theory , 2018 .

[8]  John Scott.  What is social network analysis , 2010 .

[9]  P. Killworth,et al.  Studying social relations cross-culturally , 1988 .

[10]  John Guare,et al.  Six Degrees of Separation: A Play , 1990 .

[11]  Jean Tague-Sutcliffe,et al.  An Introduction to Informetrics , 1992, Inf. Process. Manag..

[12]  魏屹东,et al.  Scientometrics , 2018, Encyclopedia of Big Data.

[13]  Jerrold W. Grossman,et al.  A portion of the well-known collaboration graph , 1995 .

[14]  Thomas W. Valente.  Network models of the diffusion of innovations , 1996, Comput. Math. Organ. Theory.

[15]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[16]  Albert-László Barabási,et al.  Internet: Diameter of the World-Wide Web , 1999, Nature.

[17]  Xerox,et al.  The Small World , 1999 .

[18]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[19]  Michalis Faloutsos,et al.  On power-law relationships of the Internet topology , 1999, SIGCOMM '99.

[20]  H E Stanley,et al.  Classes of small-world networks. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[21]  Andrei Z. Broder,et al.  Graph structure in the Web , 2000, Comput. Networks.

[22]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  Gesine Reinert,et al.  Small worlds , 2001, Random Struct. Algorithms.

[24]  D. R. White,et al.  Structural cohesion and embeddedness: A hierarchical concept of social groups , 2003 .