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.