%0 Journal Article %A N. Yu. Vlasova %T Every $3$-connected graph on at least $13$ vertices has a contractible set on $5$ vertices %J Zapiski Nauchnykh Seminarov POMI %D 2022 %P 5-93 %V 518 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2022_518_a0/ %G ru %F ZNSL_2022_518_a0