Exact results and scaling properties of small-world networks

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 4, 2000, Pages 4268-4271

  Kulkarni, R V ^a   Almaas, E ^a   Stroud, D ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION FUNCTIONS;

APPROXIMATE RESULTS; EXACT RESULTS; LARGE SYSTEM SIZE; MINIMAL DISTANCE; MINIMAL PATH; SCALING PROPERTIES;

SMALL-WORLD NETWORKS;

EID: 0000193738     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.4268     Document Type: Article

References (21)

1. D.J. Watts and S.H. Strogatz, Nature (London) 393, 440 (1998).
2. S. Milgram, Psychol. Today 2, 60 (1967).
3. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
4. S.A. Pandit and R.E. Amritkar, Phys. Rev. E 60, R1119 (1999).
5. M. Barthelemy and L.A.N. Amaral, Phys. Rev. Lett. 82, 3180 (1999)
6. Phys. Rev. Lett.M. BarthelemyL.A.N. Amaral82, 5180(E) (1999).
7. A. Barrat, Phys. Rev. E 57, 3629 (1998).
8. R. Monasson, e-print cond-mat/9903347.
9. M.E.J. Newman and D.J. Watts, Phys. Lett. A (to be published).
10. A. Barrat and M. Weigt, Eur. Phys. J. B (to be published).
11. M.A. de Menezes, C. Moukarzel, and T.J.P. Penna, e-print cond-mat/9903426.
12. R. Kasturirangan, e-print cond-mat/9904055.
13. M.E.J. Newman and D.J. Watts, Phys. Rev. E 60, 7332 (1999).
14. R.V. Kulkarni, E. Almaas, and D. Stroud, e-print cond-mat/9905066.
15. C.F. Moukarzel and M.A. de Menezes, e-print cond-mat/9005131.
16. C.F. Moukarzel, Phys. Rev. E 60, 6263 (1999).
17. R. Albert, H. Jeong, and A.-L. Barabasi, Nature (London) 401, 130 (1999).
18. A.-L. Barabasi, R. Albert, and H. Jeong, Physica A 272, 173 (1999).
19. S.N. Dorogovtsev and J.F.F. Mendes, e-print cond-mat/9907445.
20. B. Bollobás, Random Graphs (Academic Press, New York, 1985).
21. G. Strang and H. Eriksson (unpublished). See 12.