Small world graphs by iterated local edge formation

Blanchard P, Krüger T, Ruschhaupt A (2005)
Physical Review E 71(4): 46139.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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DOI
Autor*in
Blanchard, PhilippeUniBi; Krüger, TyllUniBi; Ruschhaupt, A
Einrichtung
Fakultät für Physik > AG Mathematische Physik
Abstract / Bemerkung
We study graphs obtained by successive creation and destruction of edges into small neighborhoods of the vertices. Starting with a circle graph of large diameter we obtain small world graphs with logarithmic diameter, high clustering coefficients, and a fat tail distribution for the degree. Only local edge formation processes are involved and no preferential attachment was used. Furthermore, we found an interesting phase transition with respect to the initial conditions.
Erscheinungsjahr
2005
Zeitschriftentitel
Physical Review E
Band
71
Ausgabe
4
Art.-Nr.
46139
ISSN
1539-3755
eISSN
1550-2376
Page URI
https://pub.uni-bielefeld.de/record/1603967

Zitieren

Blanchard P, Krüger T, Ruschhaupt A. Small world graphs by iterated local edge formation. Physical Review E. 2005;71(4): 46139.
Blanchard, P., Krüger, T., & Ruschhaupt, A. (2005). Small world graphs by iterated local edge formation. Physical Review E, 71(4), 46139. https://doi.org/10.1103/PhysRevE.71.046139
Blanchard, Philippe, Krüger, Tyll, and Ruschhaupt, A. 2005. “Small world graphs by iterated local edge formation”. Physical Review E 71 (4): 46139.
Blanchard, P., Krüger, T., and Ruschhaupt, A. (2005). Small world graphs by iterated local edge formation. Physical Review E 71:46139.
Blanchard, P., Krüger, T., & Ruschhaupt, A., 2005. Small world graphs by iterated local edge formation. Physical Review E, 71(4): 46139.
P. Blanchard, T. Krüger, and A. Ruschhaupt, “Small world graphs by iterated local edge formation”, Physical Review E, vol. 71, 2005, : 46139.
Blanchard, P., Krüger, T., Ruschhaupt, A.: Small world graphs by iterated local edge formation. Physical Review E. 71, : 46139 (2005).
Blanchard, Philippe, Krüger, Tyll, and Ruschhaupt, A. “Small world graphs by iterated local edge formation”. Physical Review E 71.4 (2005): 46139.

2 Zitationen in Europe PMC

Daten bereitgestellt von Europe PubMed Central.

Network of European Union-funded collaborative research and development projects.
Barber MJ, Krueger A, Krueger T, Roediger-Schluga T., Phys Rev E Stat Nonlin Soft Matter Phys 73(3 pt 2), 2006
PMID: 16605623
Evolving Apollonian networks with small-world scale-free topologies.
Zhang Z, Rong L, Zhou S., Phys Rev E Stat Nonlin Soft Matter Phys 74(4 pt 2), 2006
PMID: 17155131

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Daten bereitgestellt von Europe PubMed Central.


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