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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 1, Pages 21–34
(Mi fpm1485)
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This article is cited in 3 scientific papers (total in 3 papers)
Representations of the strong endomorphism monoid of finite $n$-uniform hypergraphs
E. A. Bondar, Yu. V. Zhuchok Taras Shevchenko National University of Luhansk, Luhansk, Ukraine
Abstract:
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.
Citation:
E. A. Bondar, Yu. V. Zhuchok, “Representations of the strong endomorphism monoid of finite $n$-uniform hypergraphs”, Fundam. Prikl. Mat., 18:1 (2013), 21–34; J. Math. Sci., 201:4 (2014), 421–430
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https://www.mathnet.ru/eng/fpm1485 https://www.mathnet.ru/eng/fpm/v18/i1/p21
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Abstract page: | 492 | Full-text PDF : | 189 | References: | 51 | First page: | 2 |
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