In this paper, split graphs with complete endomorphism-regularity are characterized explicitly. Hopefully, the main idea of the proofs can also be used for other classes of graphs.

• 摘要本文给出了具有完全正则自同态半群的分裂图的结构特征。其证明方法有望应用于其他图族自同态半群的正则性及完全正则性的研究。