摘要

A non-increasing sequence pi = (d(1), d(2),...,d(n)) of nonnegative integers is said to be potentially K-r,K-s-graphic if it is realizable by a graph on n vertices containing K-r,K-s as a subgraph, where K-r,K-s is the r x s complete bipartite graph. In this paper, we characterize the potentially K-2,K-s-graphic sequences. This characterization partially answers one problem due to Li and Yin (Adv. Math., 33(2004), 273-283).