Let A be an abelian group with {pipe}A{pipe} ≥ 4. Suppose that G is a 3-edge-connected simple graph on n ≥ 19 vertices. It is proved in this paper that if (Formula presented) for every pair of nonadjacent vertices u and υ, then G is A-connected, which generalizes the early result by Yao et al. (Discrete Mathematics 310:105...
