Large-scale Structure of Time Evolving Citation Networks

Eur. Phys. J. B 59, 75–83 (2007)

10 Pages Posted: 19 Apr 2019

See all articles by Elizabeth A. Leicht

Elizabeth A. Leicht

University of Michigan at Ann Arbor - Department of Physics

Dr. Gavin Clarkson, Esq.

New Mexico State University - Department of Finance

Kerby Shedden

University of Michigan

Mark Newman

University of Michigan at Ann Arbor - Department of Physics

Date Written: September 1, 2007

Abstract

In this article, we examine a number of methods for probing and understanding the large-scale structure of networks that evolve over time. We focus in particular on citation networks, networks of references between documents such as papers, patents, or court cases. We describe three different methods of analysis, one based on an expectation-maximization algorithm, one based on modularity optimization, and one based on eigenvector centrality. Using the network of citations between opinions of the United States Supreme Court as an example, we demonstrate how each of these methods can reveal significant structural divisions in the network and how, ultimately, the combination of all three can help us develop a coherent overall picture of the network’s shape.

Keywords: Networks and genealogical trees, Structures and organization in complex systems, Information theory and communication theory

Suggested Citation

Leicht, Elizabeth and Clarkson, Gavin and Shedden, Kerby and Newman, Mark, Large-scale Structure of Time Evolving Citation Networks (September 1, 2007). Eur. Phys. J. B 59, 75–83 (2007). Available at SSRN: https://ssrn.com/abstract=3357732

Elizabeth Leicht

University of Michigan at Ann Arbor - Department of Physics ( email )

Ann Arbor, MI
United States

Gavin Clarkson (Contact Author)

New Mexico State University - Department of Finance ( email )

1110 N Tornillo St
Las Cruces, NM 88001
United States
575-91-GAVIN (Phone)

Kerby Shedden

University of Michigan ( email )

500 S. State Street
Ann Arbor, MI 48109
United States

Mark Newman

University of Michigan at Ann Arbor - Department of Physics ( email )

Ann Arbor, MI
United States

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