6 citations · 10 across the 12 of their papers we have counts for
4 papers · 1 filter
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 …
Fixed points in conjunctive networks and maximal independent sets in graph contractions
Julio Aracena, Adrien Richard, Lilian Salinas
Given a graph , viewed as a loop-less symmetric digraph, we study the maximum number of fixed points in a conjunctive boolean network with as interaction graph. We prove tha…
A Genetically Modified Hoare Logic
Gilles Bernot, Jean-Paul Comet, Zohra Khalis +2
An important problem when modeling gene networks lies in the identification of parameters, even if we consider a purely discrete framework as the one of René Thomas. Here we are in…
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…