Abstract

http://ssrn.com/abstract=1472037
 
 

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Distance Measures for Dynamic Citation Networks


Michael James Bommarito II


Bommarito Consulting, LLC

Daniel Martin Katz


Michigan State University - College of Law

Jon Zelner


University of Michigan at Ann Arbor - Center for Study of Complex Systems

James H. Fowler


UC San Diego Division of Social Sciences; UC San Diego School of Medicine

September 11, 2009

Physica A, Vol. 389, pp. 4201-4208, 2010

Abstract:     
Acyclic digraphs arise in many natural and artificial processes. Among the broader set, dynamic citation networks represent a substantively important form of acyclic digraphs. For example, the study of such networks includes the spread of ideas through academic citations, the spread of innovation through patent citations, and the development of precedent in common law systems. The specific dynamics that produce such acyclic digraphs not only differentiate them from other classes of graphs, but also provide guidance for meaningful distance measures for these networks. We apply our sink based distance measure and the single-linkage hierarchical clustering algorithm to the first quarter century of decisions of the United States Supreme Court. Despite applying the simplest distance measure and a straight forward clustering algorithm, qualitative analysis reveals that accurate clusterings are produced by this scheme.

Number of Pages in PDF File: 8

Keywords: citation networks, acyclic digraphs, dynamic network analysis, judicial citations, patent citations, distance measures, community detection, clustering

JEL Classification: C61, C63, C60, C88

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Date posted: September 11, 2009 ; Last revised: November 9, 2010

Suggested Citation

Bommarito, Michael James and Katz, Daniel Martin and Zelner, Jon and Fowler, James H., Distance Measures for Dynamic Citation Networks (September 11, 2009). Physica A, Vol. 389, pp. 4201-4208, 2010. Available at SSRN: http://ssrn.com/abstract=1472037

Contact Information

Michael James Bommarito II
Bommarito Consulting, LLC ( email )
Troy, MI 48098
United States
16464503387 (Phone)
HOME PAGE: http://bommaritollc.com/
Daniel Martin Katz (Contact Author)
Michigan State University - College of Law ( email )
230F Law College Building
East Lansing, MI 48824-1300
United States
HOME PAGE: http://computationallegalstudies.com/
Jon Zelner
University of Michigan at Ann Arbor - Center for Study of Complex Systems ( email )
321A West Hall
Ann Arbor, MI 48109
United States
James H. Fowler
UC San Diego Division of Social Sciences ( email )
9500 Gilman Drive
Code 0521
La Jolla, CA 92093-0521
United States
HOME PAGE: http://jhfowler.ucsd.edu
UC San Diego School of Medicine ( email )
9500 Gilman Drive
MC 0507
La Jolla, CA 92093
United States
HOME PAGE: http://jhfowler.ucsd.edu
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