×

The regularity of the endomorphism monoid of a split graph. (Chinese. English summary) Zbl 0907.05047

Summary: The split graph with regular endomorphism monoid is characterized, and an open problem raised by Knauer is answered for split graphs.

MSC:

05C75 Structural characterization of families of graphs
20M20 Semigroups of transformations, relations, partitions, etc.
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)