Centrality and peripherality in filtered graphs from dynamical financial correlations

Advances in Complex Systems

Volumn 11, Issue 6, 2008, Pages 927-950

  Pozzi, F ^a   Di Matteo, T ^a   Aste, T ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Econophysics; Financial data correlations; Minimum spanning tree; Networks; Planar maximally filtered graph

Indexed keywords

EID: 59049085122     PISSN: 02195259     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219525908002021     Document Type: Article

References (26)

1. Mantegna, R. N., Hierarchical structure in financial markets, Eur. Phys. J. B 11 (1999) 193-197.
2. Strogatz, S. H., Exploring complex networks, Nature 410 (2001) 268-276.
3. Onnela, J.-P., Taxonomy of financial assets, M.Sc. thesis, Helsinki University of Technology, 2002.
4. Onnela, J.-P., Chakraborti, A., Kaski, K. and Kertèsz, J., Dynamic asset trees and portfolio analysis, Eur. Phys. J. B 30 (2002) 285-288.
5. Onnela., J.-P., Chakraborti, A., Kaski, K., Kertèsz, J. and Kanto, A., Dynamics of market correlations: Taxonomy and portfolio analysis, Phys. Rev. E 68 (2003) 056110.
6. Onnela, J.-P., Chakraborti, A., Kaski, K. and Kertèsz, J., Dynamic asset trees and Black Monday, Physica A 324 (2003) 247-252.
7. Aste, T., Di Matteo, T. and Hyde, S. T., Complex networks on hyperbolic surfaces, Physica A 346 (2005) 20-26.
8. Tumminello, M., Aste, T., Di Matteo, T. and Mantegna, R. N., A tool for filtering information in complex systems, PNAS 102/30 (2005) 10421-10426.
9. Tumminello, M., Aste, T., Di Matteo, T. and Mantegna, R., N., Correlation based networks of equity returns sampled at different time horizons, Eur. Phys. J. B 55 (2007) 209-217.
10. Ohlenbusch, H. M., Aste, T., Dubertret, B. and Rivier, N., The topological structure of 2D disordered cellular systems, Eur. Phys. J. B 2 (1998) 211-220.
11. Aste, T. and Sherrington, D., Glass transition in self-organizing cellular patterns, J. Phys. A 32 (1999) 7049-7056.
12. Aste, T. and Di Matteo, T., Tumminello, M. and Mantegna, R.,N., Correlation filtering in financial time series, Proc. SPIE 5848 (2005) 100-109.
13. Aste, T. and Di Matteo, T., Dynamical networks from correlations, Physica A 370 (2006) 156-161.
14. Di Matteo, T. and Aste, T., Extracting the correlation structure by means of planar embedding, Proc. SPIE 6039 (2006) 60390P-1.
15. Gower, J. C. and Ross, G. J. S., Minimum spanning trees and single linkage cluster analysis, Appl. Stat. 18 (1969) 54-64.
16. Pozzi, F., Aste, T., Rotundo, G. and Di Matteo, T., Dynamical correlations in financial systems, Proc. SPIE 6802 (2008) 68021E.
17. Di Matteo, T. and Aste, T., How does the eurodollar interest rate behave?, Int. J. Theor. Appl. Fin. 5 (2002) 107-122.
18. Di Matteo, T., Aste, T. and Mantegna, R., N., An interest rates cluster analysis, Physica A 339 (2004) 181-188.
19. Di Matteo, T., Aste, T., Hyde, S. T. and Ramsden, S., Interest rates hierarchical structure, Physica A 355 (2005) 21-33.
20. Eisner, J., State-of-the-art algorithms for MSTs: A tutorial discussion. Unpublished manuscript, University of Pennsylvania (1997). Available online: http://cs.jhu.edu/jason/papers/#ms97
21. Chazelle, B., A minimum spanning tree algorithm with inverse-Ackermann type complexity, IACM 47/6 (2000) 1028-1047.
22. Jarník, V. O jistém problému minimální m, Práce Moravské Pr̃írodovědecké ́ Společnosti 6 (1930) 57-63. (in Czech).
23. Prim, R., C., Shortest connection networks and some generalisations, Bell Syst. Tech. J. 36 (1957) 1389-1401.
24. Lebart, L., Morineau, A. and Piron, M., Statistique Exploratoire Multidimensionnelle (Duond, Paris, 1995), pp. 155-175.
25. Caldarelli, G., Scale-Free Networks: Complex Webs in Nature and Technology (Oxford University Press, 2007).
26. Dorogovtsev, S. N. and Mendes, J. F. F., Evolution of Networks: From Biological Nets to the Internet and WWW (Oxford University Press, 2003).