Modeling graphs using dot product representations

Edward R. Scheinerman () and Kimberly Tucker ()
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Edward R. Scheinerman: Johns Hopkins University
Kimberly Tucker: Harvey Mudd College

Computational Statistics, 2010, vol. 25, issue 1, No 1, 16 pages

Abstract: Abstract Given a simple (weighted) graph, or a collection of graphs on a common vertex set, we seek an assignment of vectors to the vertices such that the dot products of these vectors approximate the weight/frequency of the edges. By transforming vertices into (low dimensional) vectors, one can bring geometric methods to bear in the analysis of the graph(s). We illustrate our approach on the Mathematicians Collaboration Graph [Grossman (1996) The Erdős number project, http://www.oakland.edu/enp ] and the times series of Interstate Alliance Graphs (Gibler and Sarkees in J Peace Res 41(2):211–222, 2004).

Keywords: Social networks; Dimension reduction; Vector representations of graphs (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00180-009-0158-8

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