\input zb-basic \input zb-ioport \iteman{io-port 02097448} \itemau{Vizing, V.G.} \itemti{On linear factors of multigraphs.} \itemso{Diskretn. Anal. Issled. Oper., Ser. 1 10, No. 4, 3-7 (2003).} \itemab Established is a stronger version of a theorem of the author on linear factors of directed multigraphs [see Diskretn. Anal. Issled. Oper., Ser. 1 9, No. 1, 27--41 (2002)]. \itemrv{O. V. Borodin (Novosibirsk)} \itemcc{} \itemut{homogeneous multigraph; undirected multigraph; factors} \itemli{} \end