Node-weighted measures for complex networks with spatially embedded, sampled, or differently sized nodes

European Physical Journal B

Volumn 85, Issue 1, 2012, Pages

  Heitzig, J ^a   Donges, J F ^a,b   Zou, Y ^a,c   Marwan, N ^a   Kurths, J ^a,b,d  

^a POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^d UNIVERSITY OF ABERDEEN   (United Kingdom)

Author keywords

Interdisciplinary Physics

Indexed keywords

COMPLEX NETWORKS; DISCRETIZATIONS; FINITE SET; FUNCTIONAL NETWORK; INFINITE REGION; INTERDISCIPLINARY PHYSICS; NETWORK MEASURES; NETWORK STATISTICS; SELECTION PROCEDURES;

CLIMATOLOGY; GRAPH THEORY; TIME SERIES;

EMBEDDED SYSTEMS;

EID: 84856244918     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2011-20678-7     Document Type: Article

References (52)

1. M.E.J. Newman 2003 SIAM Rev. 45 167 2010377 2003SIAMR..45..167N 1029.68010 10.1137/S003614450342480
2. S. Boccaletti V. Latora Y. Moreno M. Chavez D. Hwang 2006 Phys. Rep. 424 175 2193621 2006PhR...424..175B 10.1016/j.physrep.2005.10.009 (Pubitemid 43135890)
3. L. da F Costa F.A. Rodrigues G. Travieso P.R. Villas Boas 2007 Adv. Phys. 56 167 2007AdPhy..56..167C 10.1080/00018730601170527 (Pubitemid 46504905)
4. M.E.J. Newman, Networks: An Introduction (Oxford University Press, 2010)
5. R. Cohen, S. Havlin, Complex Networks: Structure, Robustness and Function (Cambridge University Press, 2010)
6. E. Kolaczyk, Statistical Analysis of Network Data: Methods and Models, Springer Series in Statistics (Springer, 2009)
7. S. Achard R. Salvador B. Whitcher J. Suckling E. Bullmore 2006 J. Neurosci. 26 63 10.1523/JNEUROSCI.3874-05.2006 (Pubitemid 43090914)
8. C. Zhou L. Zemanová G. Zamora C. Hilgetag J. Kurths 2006 Phys. Rev. Lett. 97 238103 2006PhRvL..97w8103Z 10.1103/PhysRevLett.97.238103 (Pubitemid 44888105)
9. P. Hagmann L. Cammoun X. Gigandet R. Meuli C.J. Honey V.J. Wedeen O. Sporns 2008 PLOS Biol. 6 e159 10.1371/journal.pbio.0060159
10. A.A. Tsonis P.J. Roebber 2004 Physica A 333 497 2004PhyA..333..497T 10.1016/j.physa.2003.10.045
11. J.F. Donges Y. Zou N. Marwan J. Kurths 2009 Europhys. Lett. 87 48007 2009EL.....8748007D 10.1209/0295-5075/87/48007
12. R. Pastor-Satorras A. Vázquez A. Vespignani 2001 Phys. Rev. Lett. 87 258701 2001PhRvL..87y8701P 10.1103/PhysRevLett.87.258701
13. R. Pastor-Satorras, A. Vázquez, A. Vespignani, Topology, hierarchy, and correlations in Internet graphs, In Complex Networks, edited by E. Ben-Naim and Z. Toroczkai (2004), Vol. 650, pp. 425-440.
14. Q. Chen, H. Chang, R. Govindan, S. Jamin, S. Shenker, W. Willinger, The origin of power-laws in internet topologies revisited, in IEEE INFOCOM (2002), Vol. 2, pp. 608-617
15. G. Siganos M. Faloutsos P. Faloutsos C. Faloutsos 2003 IEEE/ACM Trans. Netw. 11 514 10.1109/TNET.2003.815300
16. A. Capocci V. Servedio F. Colaiori L. Buriol D. Donato S. Leonardi G. Caldarelli 2006 Phys. Rev. E 74 036116 2006PhRvE..74c6116C 10.1103/PhysRevE.74. 036116 (Pubitemid 44483514)
17. V. Zlatić H. Štefančić 2011 Europhys. Lett. 93 58005 2011EL.....9358005Z 10.1209/0295-5075/93/58005
18. M. Comola, M. Fafchamps, CEPR Discussion Papers 7406, C.E.P.R. Discussion Papers, 2009
19. M. Comola, M. Fafchamps, CSAE Working Paper Series 2010-20, Paris-Jourdan Sciences Économiques, 2010
20. M.A. Serrano M. Boguñá 2003 Phys. Rev. E 68 015101 2003PhRvE..68a5101S 10.1103/PhysRevE.68.015101
21. N. Marwan J.F. Donges Y. Zou R.V. Donner J. Kurths 2009 Phys. Lett. A 373 4246 2009PhLA..373.4246M 10.1016/j.physleta.2009.09.042
22. R.V. Donner Y. Zou J.F. Donges N. Marwan J. Kurths 2010 New. J. Phys. 12 033025 2010NJPh...12c3025D 10.1088/1367-2630/12/3/033025
23. R.V. Donner Y. Zou J.F. Donges N. Marwan J. Kurths 2010 Phys. Rev. E 81 015101 2010PhRvE..81a5101D 10.1103/PhysRevE.81.015101
24. M.E.J. Newman 2006 Proc. Natl. Acad. Sci. USA 103 8577 2006PNAS..103.8577N 10.1073/pnas.0601602103 (Pubitemid 43878062)
25. A. Barrat M. Barthelemy 2004 Proc. Natl. Acad. Sci. USA 101 3747 2004PNAS..101.3747B 10.1073/pnas.0400087101 (Pubitemid 38381049)
26. A.A. Tsonis K.L. Swanson P.J. Roebber 2006 B. Am. Meteorol. Soc. 87 585 10.1175/BAMS-87-5-585 (Pubitemid 43811064)
27. A.A. Tsonis K.L. Swanson 2008 Phys. Rev. Lett. 100 228502 2008PhRvL.100v8502T 10.1103/PhysRevLett.100.228502
28. K. Yamasaki A. Gozolchiani S. Havlin 2008 Phys. Rev. Lett. 100 228501 2008PhRvL.100v8501Y 10.1103/PhysRevLett.100.228501
29. A. Gozolchiani K. Yamasaki O. Gazit S. Havlin 2008 Europhys. Lett. 83 28005 2008EL.....8328005G 10.1209/0295-5075/83/28005
30. R.V. Donner, T. Sakamoto, N. Tanizuka, in Nonlinear Time Series Analysis in the Geosciences: Applications in Climatology, Geodynamics and Solar-Terrestrial Physics, edited by R.V. Donner, S.M. Barbosa (Springer, 2008), pp. 125-154
31. J.F. Donges Y. Zou N. Marwan J. Kurths 2009 Eur. Phys. J. Special Top. 174 157 2009EPJST.174..157D 10.1140/epjst/e2009-01098-2
32. J.A. Henderson P.A. Robinson 2011 Phys. Rev. Lett. 107 018102 2011PhRvL.107a8102H 10.1103/PhysRevLett.107.018102
33. J.F. Donges H.C.H. Schultz N. Marwan Y. Zou J. Kurths 2011 Eur. Phys. J. B 84 635 2011EPJB...84..635D 10.1140/epjb/e2011-10795-8
34. G.R. North T.L. Bell R.F. Cahalan 1982 Mon. Weather Rev. 110 699 1982MWRv..110..699N 10.1175/1520-0493(1982)110<0699:SEITEO>2.0.CO;2
35. S.H. Lee P.J. Kim H. Jeong 2006 Phys. Rev. E 73 016102 2006PhRvE..73a6102L 10.1103/PhysRevE.73.016102 (Pubitemid 43254389)
36. R. Rohde, J. Curry, D. Groom, R. Jacobsen, R.A. Muller, S. Perlmutter, A. Rosenfeld, C. Wickham, J. Wurtele, Under Review (2011), pp. 1-39
37. T. Plewa, T.J. Linde, V.G. Weirs, in Adaptive mesh refinement, theory and applications, Lecture notes in computational science and engineering (Springer, 2005), Vol. 41
38. C. Dangalchev 2006 Physica A 365 556 2006PhyA..365..556D 10.1016/j.physa.2005.12.020
39. K.A. Stephenson M. Zelen 1989 Soc. Networks 11 1 1007289 10.1016/0378-8733(89)90016-6
40. V. Latora M. Marchiori 2002 Physica A 314 109 2002PhyA..314..109L 1001.90011 10.1016/S0378-4371(02)01089-0
41. M.E.J. Newman 2001 Phys. Rev. E 64 016132 2001PhRvE..64a6132N 10.1103/PhysRevE.64.016132
42. A. Arenas, A. Cabrales, A. Díaz-Guilera, R. Guimerà, F. Vega-Redondo, in Statistical Mechanics of Complex Networks, Lecture Notes in Physics, edited by R. Pastor-Satorras, M. Rubi, A. Díaz-Guilera (Springer Berlin, Heidelberg, 2003), Vol. 625, pp. 175-194
43. M.E.J. Newman 2005 Soc. Networks 27 39 2005GCN..3820....1N 10.1016/j.socnet.2004.11.009 (Pubitemid 40272648)
44. S. Bialonski M.T. Horstmann K. Lehnertz 2010 Chaos 20 013134 2730173 2010Chaos..20a3134B 10.1063/1.3360561
45. J. Barcelo 2004 Comput. Netw. 45 333 1070.68500 10.1016/j.comnet.2004.03. 011
46. D. Gfeller P. De Los Rios 2008 Phys. Rev. Lett. 100 174104 2008PhRvL.100q4104G 10.1103/PhysRevLett.100.174104 (Pubitemid 351624654)
47. M. Fiedler 1973 Czech. Math. J. 23 298 318007
48. R. Albert H. Jeong A.L. Barabási 2000 Nature 406 378 2000Natur.406..378A 10.1038/35019019 (Pubitemid 30625551)
49. G. Csárdi T. Nepusz 2006 Inter Journal Complex Systems CX 18 1695
50. S.N. Soffer A. Vázquez 2005 Phys. Rev. E 71 057101 2005PhRvE..71e7101S 10.1103/PhysRevE.71.057101 (Pubitemid 41481067)
51. P. Bonacich 1987 Am. J. Sociol. 92 1170 10.1086/228631
52. J.D. Noh H. Rieger 2004 Phys. Rev. Lett. 92 118701 2004PhRvL..92k8701N 10.1103/PhysRevLett.92.118701