Direct, physically-motivated derivation of the contagion condition for   spreading processes on generalized random networks
  For a broad range single-seed contagion processes acting on generalized random networks, we derive a unifying analytic expression for the possibility of global spreading events in a straightforward, physically intuitive fashion. Our reasoning lays bare a direct mechanical understanding of an archetypal spreading phenomena that is not evident in circuitous extant mathematical approaches. 
Peter Sheridan Dodds, Kameron Decker Harris, and Joshua L. Payne
cond-mat.dis-nn cs.SI physics.soc-ph