Efficiency of star-like graphs and the Atlanta subway network

Bryan Ek, Caitlin VerSchneider and Darren A. Narayan

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 21, 5481-5489

Abstract: The distance d(i,j) between any two vertices i and j in a graph is the number of edges in a shortest path between i and j. If there is no path connecting i and j, then d(i,j)=∞. In 2001, Latora and Marchiori introduced the measure of efficiency between vertices in a graph (Latora and Marchiori, 2001) [1]. The efficiency between two vertices i and j is defined to be ∈i,j=j. In this paper, we investigate the efficiency of star-like networks, and show that networks of this type have a high level of efficiency. We apply these ideas to an analysis of the Metropolitan Atlanta Rapid Transit Authority (MARTA) Subway system, and show this network is 82% as efficient as a network where there is a direct line between every pair of stations.

Keywords: Efficiency; Graphs; Networks; Star-like graphs; MARTA Subway network (search for similar items in EconPapers)
Date: 2013
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:21:p:5481-5489

DOI: 10.1016/j.physa.2013.06.055

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