Zombies and Survivor is a variant of the well-studied game Cops Robbers where zombies (cops) can only move closer to survivor (robber). We consider deterministic version zombie choose their path if multiple options are available. Similar cop number, number graph minimum required capture survivor. In this short note, we solve question by Fitzpatrick et al., proving that Cartesian product two gra...

In this paper, we investigate number-conserving cellular automata with up to five inputs and two states the goal of comparing their dynamics diffusion. For purpose, introduce concept decompression ratio describing expansion configurations finite support. We find that a large number rules exhibit abrupt change in when density initial pattern is increasing, somewhat analogous second-order phase t...