6 citations · 10 across the 12 of their papers we have counts for
11 papers · 1 filter
Attractor separation and signed cycles in asynchronous Boolean networks
Adrien Richard, Elisa Tonello
The structure of the graph defined by the interactions in a Boolean network can determine properties of the asymptotic dynamics. For instance, considering the asynchronous dynamics…
Linear cuts in Boolean networks
Aurélien Naldi, Adrien Richard, Elisa Tonello
Boolean networks are popular tools for the exploration of qualitative dynamical properties of biological systems. Several dynamical interpretations have been proposed based on the…
Asynchronous simulation of Boolean networks by monotone Boolean networks
Tarek Melliti, Damien Regnault, Adrien Richard +1
We prove that the fully asynchronous dynamics of a Boolean network without negative loop can be simulated, in a very specific way, by a monotone Boolean n…
Fixed points and connections between positive and negative cycles in Boolean networks
Adrien Richard
We are interested in the relationships between the number fixed points in a Boolean network and its interaction graph, which is the arc-signed digraph …
Simple dynamics on graphs
Maximilien Gadouleau, Adrien Richard
Does the interaction graph of a finite dynamical system can force this system to have a "complex" dynamics ? In other words, given a finite interval of integers , which are the…
Fixed points of Boolean networks, guessing graphs, and coding theory
Maximilien Gadouleau, Adrien Richard, Søren Riis
In this paper, we are interested in the number of fixed points of functions over a finite alphabet defined on a given signed digraph . We first use techniques…