9 citations · 9 across the 2 of their papers we have counts for
5 papers · 1 filter
Mixing patterns in graphs with higher-order structure
Peter Mann, Lei Fang, Simon Dobson
In this paper we examine the percolation properties of higher-order networks that have non-trivial clustering and subgraph-based assortative mixing (the tendency of vertices to con…
An exact formula for percolation on higher-order cycles
Peter Mann, V Anne Smith, John Mitchell +2
We present exact solutions for the size of the giant connected component (GCC) of graphs composed of higher-order homogeneous cycles, including weak cycles and cliques, following b…
Cooperative coinfection dynamics on clustered networks
Peter Mann, Anne Smith, John Mitchell +1
Coinfection is the process by which a host that is infected with a pathogen becomes infected by a second pathogen at a later point in time. An immunosuppressant host response to a…
Random graphs with arbitrary clustering and their applications
Peter Mann, V. Anne Smith, John B. O. Mitchell +1
The structure of many real networks is not locally tree-like and hence, network analysis fails to characterise their bond percolation properties. In a recent paper [P. Mann, V. A.…
Percolation in random graphs with higher-order clustering
Peter Mann, V. Anne Smith, John B. O. Mitchell +1
Percolation theory can be used to describe the structural properties of complex networks using the generating function formulation. This mapping assumes that the network is locally…