Complex eigenvectors of network matrices give better insight into the community structure

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2009, Issue 10, 2009, Pages

  Zarei, Mina ^a   Samani, Keivan Aghababaei ^a   Omidi, Gholam Reza ^a  

^a ISFAHAN UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Analysis of algorithms; Genomic and proteomic networks; Networks; Random graphs

Indexed keywords

EID: 71049164631     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2009/10/P10018     Document Type: Article

References (36)

1. Render S 1998 Eur. Phys. J. B 4 131
2. Flake G W, Lawrence S R, Giles C L and Coetzee F M 2002 IEEE Comput. 35 66
3. Vespignani A 2003 Nat. Genet. 35 118
4. Capocci A, Servedio V D P, Caldarelli G and Colaiori F 2005 Physica A 352 669
5. Boccaletti S, Latora V, Moreno Y, Chavez M and Hwang D U 2006 Phys. Rep. 424 175
6. Fortunato S and Castellano C 2007 arXiv:0712.2716v1
7. Fortunato S 2009 arXiv:0906.0612v1
8. von Luxburg U 2007 Stat. Comput. 17 395
9. Chen M, Yang Q and Tang X 2007 IJCAI p 2707
10. Meila M and Pentney W 2007 Proc. SIAM Int. Conf. on Data Mining p135
11. Stewart W J 1994 Introduction to the Numerical Solution of Markov Chains (Princeton, NJ: Princeton University Press)
12. Agaev R and Chebotarev P 2005 Linear Algebr. Appl. 399 157
13. Caughman J S and Veerman J J P 2006 J. Comb. 13 R39
14. Fax J A and Murray R M 2002 Proc. 15th IFAC Congr. (Barcelona)
15. Fiedler M 1973 Czech. Math. J. 23 298
16. Pothen A, Simon H and Liou K P 1990 SIAM J. Matrix Anal. Appl. 11 430
17. Newman M E J 2006 Phys. Rev. E 74 036104
18. Alpert C J, Khang A B and Yao S 1999 Discrete Appl. Math. 90 3
19. Donetti L and Muoz M A 2004 J. Stat. Mech. P10012
20. Lütkepohl H 1997 Handbook of Matrices (Chichester: Wiley)
21. http://vlado.fmf.uni-lj.si/pub/networks/pajek - ref-separator -
22. Stewart G W and Sun J G 1990 Matrix Perturbation Theory (New York: Academic)
23. Chow J H and Kokotovic P V 1985 IEEE Trans. Autom. Control 30 714
24. Bianconi G, Gulbahce N and Motter A E 2008 Phys. Rev. Lett. 100 118701
25. Still S and Bialek W 2004 Neural Comput. 16 2483
26. Tibshirani R, Walther G and Hastie T 2001 J. R. Stat. Soc. B 63 411
27. Newman M E J and Girvan M 2004 Phys. Rev. E 69 026113
28. Wasserman S and Faust K 1994 Social Networks Analysis (Cambridge: Cambridge University Press)
29. Girvan M and Newman M E J 2002 Proc. Nat. Acad. Sci. 99 7821
30. Arenas A, Díaz-Guilera A and Pérez-Vicente C J 2006 Phys. Rev. Lett. 96 114102
31. Danon L, Díaz-Guilera A and Arenas A 2006 J. Stat. Mech. P11010
32. Fortunato S and Barthélemy M 2007 Proc. Nat. Acad. Sci. 104 36
33. Albert R, Jeong H and Barabsi A-L 2000 Nature 406 378
34. Palla G, Dernyi I, Farkas I and Vicsek T 2005 Nature 435 814
35. Lancichinetti A, Fortunato S and Radicchi F 2008 Phys. Rev. E 78 046110
36. Zarei M and Samani K A 2009 Physica A 388 1721