Simulations between triangular and hexagonal number-conserving cellular automata
| dc.creator | Imai, Katsunobu | |
| dc.creator | Martin, Bruno | |
| dc.date | 2008-09-02 | |
| dc.date.accessioned | 2026-07-07T09:59:56Z | |
| dc.date.available | 2026-07-07T09:59:56Z | |
| dc.description | A number-conserving cellular automaton is a cellular automaton whose states are integers and whose transition function keeps the sum of all cells constant throughout its evolution. It can be seen as a kind of modelization of the physical conservation laws of mass or energy. In this paper, we first propose a necessary condition for triangular and hexagonal cellular automata to be number-conserving. The local transition function is expressed by the sum of arity two functions which can be regarded as 'flows' of numbers. The sufficiency is obtained through general results on number-conserving cellular automata. Then, using the previous flow functions, we can construct effective number-conserving simulations between hexagonal cellular automata and triangular cellular automata. | |
| dc.description | 11 pages; International Workshop on Natural Computing, Yokohama : Japon (2008) | |
| dc.identifier | https://arxiv.org/abs/0809.0355 | |
| dc.identifier | http://arxiv.org/abs/0809.0355 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168205 | |
| dc.subject | Discrete Mathematics | |
| dc.subject | F.1.1 | |
| dc.title | Simulations between triangular and hexagonal number-conserving cellular automata | |
| dc.type | text |