Indirect influences in international trade

Rafael Diaz; Laura Gomez

doi:10.3934/nhm.2015.10.149

Article Contents

2015, Volume 10, Issue 1: 149-165. Doi: 10.3934/nhm.2015.10.149

This issue Previous Article Structural analysis and traffic flow in the transport networks of Madrid Next Article Complexity, selectivity and asymmetry in the conformation of the power phenomenon. Analysis of Chilean society

Indirect influences in international trade

Rafael Diaz^1, and
Laura Gomez^1,

1.
Instituto de Matemáticas y sus Aplicaciones, Universidad Sergio Arboleda, Calle 74 #14-14, Bogotá

Received: April 30, 2014

Revised: October 31, 2014

Published: February 2015

Abstract Related Papers Cited by

Abstract

We address the problem of gauging the influence exerted by a given country on the international trade market from the viewpoint of complex networks. In particular, we apply the PWP method to compute indirect influences on the world trade network.

Keywords:

Mathematics Subject Classification: 91D30, 90B10, 68R10.

Citation:

Related Papers

Cited by

References

[1]	S. Brin, L. Page, R. Motwani and T. Winograd, The anatomy of a large-scale hypertextual web search engine, Computer Networks and ISDN Systems, 30 (1998), 107-117.doi: 10.1016/S0169-7552(98)00110-X.
[2]	S. Brin, L. Page, R. Motwani and T. Winograd, The PageRank Citation Ranking: Bringing Order to the Web, Technical Report, Stanford Digital Library Technologies Project, 1998.
[3]	J. Catumba, Indirect Influences for Graphs. Available from: http://atoms.scilab.org/toolboxes/indinf.
[4]	F. Chung, The heat kernel as the pagerank of a graph, Proc. Natl. Acad. Sci. U.S.A, 104 (2007), 19735-19740.doi: 10.1073/pnas.0708838104.
[5]	F. Chung and L. Lu, Complex Graphs and Networks, Amer. Math. Soc., Providence, 2006.
[6]	R. Díaz, Indirect influences, Adv. Studies Contemp. Math., 23 (2013), 29-41.
[7]	S. Dorogovtsev, Lectures on Complex Networks, Oxford University Press, Oxford, 2010.doi: 10.1093/acprof:oso/9780199548927.001.0001.
[8]	ECLAC, Interactic Graphic of International Economic Trends (SIGCI Plus)-Trade module. Available from: http://www.eclac.org/comercio/ecdata2/index.html.
[9]	P. Ghemawat and S. Altman, DHL Global Connectedness Index 2012, DHL Report, 2012.
[10]	M. Godet, De l Ànticipation à Àction, Dunod, París, 1992.
[11]	A. Langville and C. Meyer, Deeper inside pagerank, Internet Mathematics, 1 (2004), 335-400.doi: 10.1080/15427951.2004.10129091.
[12]	N. Mankiw, Macroeconomics, Worth Publishers, New York, 2003.