Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider two formulations of a cellular automata: the first one uses a gather-update paradigm and the second one a collision-propagation paradigm.  show the equivalence of both descriptions and, using the latter paradigm,  propose a simple way to define a Cellular Automata on a graph with arbitrary topology. Finally,  exploit the duality of formulation to reconsider the problem of characterizing invertible cellular automata.
['Bastien Chopard', 'Jean-Luc Falcone', 'Ranaivo Mahaleo Razakanirina', 'Alfons G. Hoekstra', 'Alfonso Caiazzo']
I am writing a research paper on a idea On the Collision-Propagation and Gather-Update Formulations of a Cellular Automata Rule
[{"from": "human", "value": "I am writing a research paper on a idea On the Collision-Propagation and Gather-Update Formulations of a Cellular Automata Rule"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  consider two formulations of a cellular automata: the first one uses a gather-update paradigm and the second one a collision-propagation paradigm.  show the equivalence of both descriptions and, using the latter paradigm,  propose a simple way to define a Cellular Automata on a graph with arbitrary topology. Finally,  exploit the duality of formulation to reconsider the problem of characterizing invertible cellular automata."}]