19 citations · 102 across the 14 of their papers we have counts for
3 papers · 1 filter
Space--time message passing for endemic diseases
Peter Mann, Simon Dobson
Message passing is exact for progressive epidemics on trees: infection is unidirectional, and a node's neighbours are uncorrelated in the cavity graph. A recurrent disease breaks t…
Degree correlations in graphs with clique clustering
Peter Mann, V. Anne Smith, John B. O. Mitchell +1
Correlations among the degrees of vertices in random graphs often occur when clustering is present. In this paper we define a joint-degree correlation function for vertices in the…
An exact N-strain epidemic model using bond percolation
Peter Mann, V. Anne Smith, John B. O. Mitchell +1
In this paper we examine the emergent structures of random networks that have undergone bond percolation an arbitrary, but finite, number of times. We define two types of sequentia…