8 citations · 10 across the 3 of their papers we have counts for
4 papers
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…
An alternative expression of message passing on networks
Peter Mann, Simon Dobson
Message passing techniques on networks encompasses a family of related methods that can be employed to ascertain many important properties of a network. It is widely considered to…