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

abstract

• The Erdos 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 Erdos; EN = 2 for their co-authors who did not publish jointly with Erdos; etc. A refinement of this notion uses resistance distances leading to rational Erdos 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.

authors

• Klein, Douglas

published proceedings

• SCIENTOMETRICS

author list (cited authors)

• Balaban, A. T., & Klein, D. J.

citation count

• 16

complete list of authors

• Balaban, AT||Klein, DJ

publication date

• September 2002

publisher

• Springer Nature  Publisher

published in

• Scientometrics  Journal

keywords

• 46 Information And Computing Sciences
• 4610 Library And Information Studies
• 49 Mathematical Sciences
• 4901 Applied Mathematics
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.1023/A:1016098803527

start page

• 59

end page

• 70

volume

• 55

issue

• 1

URL

• http://dx.doi.org/10.1023/a:1016098803527