Integration in Social Networks

11 Pages Posted: 19 May 2018

See all articles by Josue Ortega

Josue Ortega

Center for European Economic Research

Date Written: April 23, 2018


Consider several disjoint social networks. What is the minimum number of bridges (i.e. edges between nodes belonging to different social networks) or central nodes (those who are endpoints to a bridge) required so that every two nodes are connected by a path of length at most $k$? The answer depends only linearly on the size of the social networks for $k=2$, and does not depend on the size of each social network for $k \geq 3$. Our findings provide an equality of opportunity measure for social networks which is easy to compute and verify, and which can be used to compare the degree of integration of a variety of real-life social networks.

Keywords: social integration, social networks, small world, equality of opportunity

JEL Classification: D85, D63

Suggested Citation

Ortega, Josue, Integration in Social Networks (April 23, 2018). Available at SSRN: or

Josue Ortega (Contact Author)

Center for European Economic Research ( email )

L 7 1
Mannheim, 68161


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