Endomorphism Monoid of $C_{2n+1}$ Book Graphs

Jakkrit Thomkeaw, Srichan Arworn

Abstract

The main purpose of this paper is to prove that the odd cycle book graphs $B_{2n+1}(m)$ are endo-regular for all positive integers m, n and to find the
cardinality of the monoid of all endomorphisms on those graphs.