24 citations · 130 across the 60 of their papers we have counts for
74 papers
Solving polynomial equations over partial discrete dynamical systems
Maximilien Gadouleau, Sara Riva, Marius Rolland +1
The analysis of observable phenomena (for instance, in biology or physics) allows the detection of dynamical behaviours. If the conditions are ideal and the number of observations…
On the maximum and negative frustration indices of graphs
Maximilien Gadouleau, Huiying Zeng
A signed graph is a graph with signatures ( or ) on its edges. A cycle is called positive if the product of its edge signatures is positive, and a signed graph is called ba…
Enumerating Inclusion-Maximal Arithmetic Progressions
Brian Bemman, Maximilien Gadouleau, Oliver W. Gnilke +1
We present a simple enumeration algorithm for solving a problem from mathematical and computational music analysi…
On the transversals of Latin squares generated by nonlinear bipermutive cellular automata
Alberto Dennunzio, Maximilien Gadouleau, Luca Mariot
In this short paper, we begin to investigate the conditions under which a generic Bipermutive Cellular Automaton (BCA) with no-boundary conditions of diameter generates a Latin…
Trapping and commutative Boolean networks
Maximilien Gadouleau
A Boolean network (BN) is a transformation of the set of Boolean configurations of a given length. A trapspace of a BN is a subcube invariant by the BN; a principal trapspace is th…
Semirings of formal sums and injective partial transformations
Maximilien Gadouleau, Marianne Johnson
The semiring of discrete dynamical systems is a simple algebraic model for modularity in deterministic systems. The objects of the semiring are finite transformations (viewed as di…