\input zb-basic \input zb-ioport \iteman{io-port 05377146} \itemau{Fomin, Fedor V.; Gaspers, Serge; Pyatkin, Artem V.; Razgon, Igor} \itemti{On the minimum feedback vertex set problem: Exact and enumeration algorithms.} \itemso{Algorithmica 52, No. 2, 293-307 (2008).} \itemab Summary: We present a time $\cal {O}(1.7548^{n})$ algorithm finding a minimum feedback vertex set in an undirected graph on $n$ vertices. We also prove that a graph on $n$ vertices can contain at most $1.8638^n$ minimal feedback vertex sets and that there exist graphs having $105^{n/10}\approx 1.5926^n$ minimal feedback vertex sets. \itemrv{~} \itemcc{} \itemut{minimum feedback vertex set; maximum induced forest; exact exponential algorithm; number of minimal feedback vertex sets} \itemli{doi:10.1007/s00453-007-9152-0} \end