New Algorithms For Finding Short Reset Sequences In Synchronizing Automata

Adam Roman
2007 Zenodo  
Finding synchronizing sequences for the finite automata is a very important problem in many practical applications (part orienters in industry, reset problem in biocomputing theory, network issues etc). Problem of finding the shortest synchronizing sequence is NP-hard, so polynomial algorithms probably can work only as heuristic ones. In this paper we propose two versions of polynomial algorithms which work better than well-known Eppstein-s Greedy and Cycle algorithms.
doi:10.5281/zenodo.1055876 fatcat:d7wjon6wkbcplado7ucnntkc5i