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Endemic infections are always possible on regular networks

C. I. Del Genio and T. House
Physical Review E 88, 040801(R) (2013)
Rapid Communication

Endemic infections are always possible on regular networks

Abstract

We study the dependence of the largest component in regular networks on the clustering coefficient, showing that its size changes smoothly without undergoing a phase transition. We explain this behaviour via an analytical approach based on the network structure, and provide an exact equation describing the numerical results. Our work indicates that intrinsic structural properties always allow the spread of epidemics on regular networks.


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