Let G and H be two graphs. The semistrong product G o H is the graph with vertex set V(G.H) = V(G)xV(H) and edge set E(G.H) = {(u(1), v(1))(u(2), v(2))vertical bar u(1)u(2) is an element of E(G) and v(1)v(2) is an element of E(H) or u(1) = u(2) and v(1)v(2) is an element of E(H)}. It is proved in this paper that if G and H are two nontrivial connected simple graphs, then G . H admits a nowhere-zero 3-flow. This result extends the study of nowhere-zero flows on product graphs by Emrich and krekovski, by Shu and Zhang, by Rollova a...
