Nested hierarchies in planar graphs

Discrete Applied Mathematics

Volumn 159, Issue 17, 2011, Pages 2135-2146

  Song, Won Min ^a   Di Matteo, T ^a,b   Aste, Tomaso ^a,b,c  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b KING'S COLLEGE LONDON   (United Kingdom)

^c UNIVERSITY OF KENT   (United Kingdom)

Author keywords

3 clique; Bubble; Community; Hierarchy; Maximal planar graph

Indexed keywords

3-CLIQUE; BUBBLE; COMMUNITY; HIERARCHY; PLANAR GRAPH;

GRAPHIC METHODS; PLANT EXTRACTS;

TREES (MATHEMATICS);

EID: 80052603806     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2011.07.018     Document Type: Article

References (17)

1. José S. Andrade Jr., Hans J. Herrmann, Roberto F.S. Andrade, and Luciano R. da Silva Apollonian networks: simultaneously scale-free, small world, Euclidan, space filling and matching graphs Phys. Rev. Lett. 94 2005 018702
2. T. Aste, and T. Di Matteo Introduction to Complex and Econophysics Systems: A Navigation Map Lecture Notes in Complex Systems vol. 9 2010 World Scientific Singapore 1 35
3. T. Aste, T. Di Matteo, and S. Hyde Complex networks on hyperbolic surfaces Physica A 346 2005 20 26
4. T. Aste, and D. Weaire The Pursuit of Perfect Packing 2nd ed. 2008 Taylor and Francis New York
5. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang Complex networks: structure and dynamics Phys. Rep. 424 2006 175 308 (Pubitemid 43135890)
6. G. Caldarelli Scale-Free Networks. Complex Webs in Nature and Technology 2007 Oxford University Press
7. Aaron Clauset, Cristopher Moore, and M.E.J. Newman Hierarchical structure and the prediction of missing links in networks Nature 453 2008 98 101 (Pubitemid 351630323)
8. Reinhard Diestel Graph Theory 3rd ed. 2005 Springer-Verlag
9. T. Di Matteo, and T. Aste How does the Eurodollars interest rate behave? J. Theoret. Appl. Finance 5 2002 122 127
10. T. Di Matteo, T. Aste, S.T. Hyde, and S. Ramsden Interest rates hierarchical structure Physica A 2005 21 33 (Pubitemid 40915160)
11. T. Di Matteo, F. Pozzi, and T. Aste The use of dynamical networks to detect the hierarchical organization of financial market sectors Eur. Phys. J. B 2009
12. M. Girvan, and M.E.J. Newman Community structure in social and biological networks Proc. Natl. Acad. Sci. USA 99 12 2002 7821 7826 (Pubitemid 34650963)
13. M. Girvan, and M.E.J. Newman Finding and evaluating community structure in networks Phys. Rev. E 69 2004 026113
14. T. Jech Set Theory 2003 Springer-Verlag
15. Won-Min Song, T. Aste, and T. Di Matteo Correlation-based biological networks Proc. SPIE 6802 2007 680212
16. Michel Tumminello, Tomaso Aste, Tiziana Di Matteo, and Rosario. N. Mantegna A tool for filtering information in complex systems Proc. Natl. Acad. Sci. USA 102 30 2005
17. M. Tumminello, T. Di Matteo, T. Aste, and R.N. Mantegna Correlation based networks of equity returns sampled at different time horizons Eur. Phys. J. B 55 2 2007 209 217 (Pubitemid 46325955)