356 citations · 670 across the 13 of their papers we have counts for
3 papers · 1 filter
Connecting Hodge and Sakaguchi-Kuramoto: a mathematical framework for coupled oscillators on simplicial complexes
Alexis Arnaudon, Robert L. Peach, Giovanni Petri +1
We formulate a general Kuramoto model on weighted simplicial complexes where phases oscillators are supported on simplices of any order . Crucially, we introduce linear and non-…
Cycle Analysis of Directed Acyclic Graphs
Vaiva Vasiliauskaite, Tim S. Evans, Paul Expert
In this paper, we employ the decomposition of a directed network as an undirected graph plus its associated node metadata to characterise the cyclic structure found in directed net…
Modelling the Spread of Covid-19 on Malaysian Contact Networks for Practical Reopening Strategies in an Institutional Setting
Fatimah Abdul Razak, Paul Expert
Reopening strategies are crucial to balance efforts of economic revitalization and bringing back a sense of normalcy while mitigating outbreaks and effectively flattening the infec…