FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 1, PAGES 21-34

**Representations of the strong endomorphism monoid of finite
$n$-uniform hypergraphs**

E. A. Bondar

Yu. V. Zhuchok

Abstract

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In this paper, two exact representations of the strong endomorphism
monoid of an arbitrary finite $n$-uniform hypergraph are
described.
It is proved that the strong endomorphism monoid of a finite
$n$-uniform
hypergraph is regular.
We find all nonnegative integers $n$ such that $n$-uniform hypergraphs are
determined by their strong endomorphisms.

Location: http://mech.math.msu.su/~fpm/eng/k13/k131/k13102h.htm

Last modified: September 5, 2013