48 citations · 48 across the 3 of their papers we have counts for
3 papers
Connectivity of Random Geometric Hypergraphs
Henry-Louis de Kergorlay, Desmond J. Higham
We consider a random geometric hypergraph model based on an underlying bipartite graph. Nodes and hyperedges are sampled uniformly in a domain, and a node is assigned to those hype…
Estimating Network Dimension When the Spectrum Struggles
Peter Grindrod, Desmond John Higham, Henry-Louis de Kergorlay
What is the dimension of a network? Here, we view it as the smallest dimension of Euclidean space into which nodes can be embedded so that pairwise distances accurately reflect the…
Epidemics on Hypergraphs: Spectral Thresholds for Extinction
Desmond John Higham, Henry-Louis de Kergorlay
Epidemic spreading is well understood when a disease propagates around a contact graph. In a stochastic susceptible-infected-susceptible setting, spectral conditions characterise w…