Cascade dynamics of complex propagation

Physica A: Statistical Mechanics and its Applications

Volumn 374, Issue 1, 2007, Pages 449-456

  Centola, Damon ^a,b   Eguíluz, Víctor M ^c   Macy, Michael W ^b  

^a Columbia University ^*  (United States)

^b Cornell University ^*  (United States)

^c INSTITUTO MEDITERRÁNEO DE ESTUDIOS AVANZADOS   (Spain)

Author keywords

Sociophysics

Indexed keywords

DISEASES; SOCIAL ASPECTS;

COMPLEX NETWORKS; RANDOM LINKS; SOCIOPHYSICS;

RANDOM PROCESSES;

EID: 33751170904     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.06.018     Document Type: Article

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15. Simple propagation requires that a single active node is sufficient to activate a neighbor. In a network where all agents have the same degree 〈 k 〉, simple propagation is observed if threshold T ≤ 1 / 〈 k 〉. A general expression for random networks with arbitrary degree distributions can be found in Ref. [13].
16. It is worth noting that the measure we have introduced gives only an estimation of the critical threshold. For example, the critical threshold for the two-dimensional lattice with nearest neighbor interaction is 0.25, while the estimator gives 0.5.
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