Abstract
E. Remy, P. Ruet and D. Thieffry have proved a Boolean version of Thomas' conjecture: if a map $F$ from $\{0,1\}^{n}$ to itself has several fixed points, then there exists a positive circuit in the corresponding interaction graph. In this paper, we prove that the presence of a positive circuit in a local interaction graph is also a necessary condition for the presence of several attractive cycles in the Boolean synchronous dynamics.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have