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Co-authorship, rational Erdős numbers, and resistance distances in graphs

Author

Listed:
  • Alexandru T. Balaban

    (Texas A&M University)

  • Douglas J. Klein

    (Texas A&M University)

Abstract

The Erdős number (EN) for collaborative papers among mathematicians was defined as indicating the topological distance in the graph depicting the co-authorship relations, i. e., EN = 1 for all co-authors of Paul Erdős; EN = 2 for their co-authors who did not publish jointly with Erdős; etc. A refinement of this notion uses resistance distances leading to rational Erdős numbers (REN), which (as indicated by their name) are rational numbers. For acyclic graphs, EN = REN, but for graphs with circuits these numbers differ. Further refinements are possible using weighted edges in the co-authorship graph according to the number of jointly authored papers.

Suggested Citation

  • Alexandru T. Balaban & Douglas J. Klein, 2002. "Co-authorship, rational Erdős numbers, and resistance distances in graphs," Scientometrics, Springer;Akadémiai Kiadó, vol. 55(1), pages 59-70, September.
    • Handle: RePEc:spr:scient:v:55:y:2002:i:1:d:10.1023_a:1016098803527
    DOI: 10.1023/A:1016098803527
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    Cited by:

    1. Hildrun Kretschmer & Isidro F. Aguillo, 2004. "Visibility of collaboration on the Web," Scientometrics, Springer;Akadémiai Kiadó, vol. 61(3), pages 405-426, November.
    2. Hildrun Kretschmer, 2004. "Author productivity and geodesic distance in bibliographic co-authorship networks, and visibility on the Web," Scientometrics, Springer;Akadémiai Kiadó, vol. 60(3), pages 409-420, August.

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