Nowhere-zero flows in tensor product of graphs

In this paper, we characterize graphs whose tensor product admit nowhere-zero 3-flow. The main result is: For two graphs G1 and G2 with δG1 ≥ 2 and G2 not belonging to a well-characterized class of graphs, the tensor product of G1 and G2 admits a nowhere-zero 3-flow. © 2006 Wiley Periodicals, Inc. J Graph Theory 54: 284–292, 2007