Epidemic thresholds on scale-free graphs: The interplay between exponent and preferential choice

Blanchard P, Chang CH, Krüger T (2003)
ANNALES HENRI POINCARE 4(S2): 957-970.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
We study epidemic threshold properties in a scale-free random graph model. We show via a branching process approximation that the divergence of the second moment of the degree distribution equivalent to the absence of an epidemic threshold. We study further the relation between diameter and epidemic threshold. Absence of an epidemic threshold happens precisely when a positive fraction of the nodes form a cluster of bounded diameter.
Erscheinungsjahr
2003
Zeitschriftentitel
ANNALES HENRI POINCARE
Band
4
Ausgabe
S2
Seite(n)
957-970
ISSN
1424-0637
eISSN
1424-0661
Page URI
https://pub.uni-bielefeld.de/record/1609120

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Blanchard P, Chang CH, Krüger T. Epidemic thresholds on scale-free graphs: The interplay between exponent and preferential choice. ANNALES HENRI POINCARE. 2003;4(S2):957-970.
Blanchard, P., Chang, C. H., & Krüger, T. (2003). Epidemic thresholds on scale-free graphs: The interplay between exponent and preferential choice. ANNALES HENRI POINCARE, 4(S2), 957-970. doi:10.1007/s00023-003-0975-1
Blanchard, P., Chang, C. H., and Krüger, T. (2003). Epidemic thresholds on scale-free graphs: The interplay between exponent and preferential choice. ANNALES HENRI POINCARE 4, 957-970.
Blanchard, P., Chang, C.H., & Krüger, T., 2003. Epidemic thresholds on scale-free graphs: The interplay between exponent and preferential choice. ANNALES HENRI POINCARE, 4(S2), p 957-970.
P. Blanchard, C.H. Chang, and T. Krüger, “Epidemic thresholds on scale-free graphs: The interplay between exponent and preferential choice”, ANNALES HENRI POINCARE, vol. 4, 2003, pp. 957-970.
Blanchard, P., Chang, C.H., Krüger, T.: Epidemic thresholds on scale-free graphs: The interplay between exponent and preferential choice. ANNALES HENRI POINCARE. 4, 957-970 (2003).
Blanchard, Philippe, Chang, CH, and Krüger, Tyll. “Epidemic thresholds on scale-free graphs: The interplay between exponent and preferential choice”. ANNALES HENRI POINCARE 4.S2 (2003): 957-970.