The next meeting of the Algebra and Logic Seminar will be held

on

**October 25, 2019**(Friday) at**1:00 p.m.**in**Room 578**of the Institute of Mathematics and Informatics.A talk on

## ENDOMORPHISMS-REGULARITY OF GRAPHS C_{n,3}

will be delivered by

**Somnuek WORAWISET (Department of Mathematics, Khon Kaen University, Khon Kaen, Thailand)**.Everybody is invited.

**Abstract**. A graph G is endo-regular if the monoid of all endomorphisms on G is regular in the semigroup sense, that is, for any f in End(G) there exists g in End(G) such that f = fgf. In this talk, we construct a new graph which is related to cycle graphs and characterize endo-regularity of the graphs C_{n,3}. For each positive integer n ≥ 3, a graph C_{n,3} is regular if and only if 3 ≤ n ≤ 7.