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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 2, Pages 226–231
DOI: https://doi.org/10.18500/1816-9791-2016-16-2-226-231 (Mi isu640) 		 
Computer Sciences

The Sperner property for polygonal graphs considered as partially ordered sets

V. N. Salii

Saratov State University, 83, Astrakhanskaya st., 410012, Saratov, Russia
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DOI: https://doi.org/10.18500/1816-9791-2016-16-2-226-231
Abstract: A finite poset is said to have the Sperner property if at least one of its maximum antichains is formed from elements of the same height. A polygonal graph is a directed acyclic graph derived from a circuit by some orientation of its edges. The reachability relation of a polygonal graph is a partial order. A criterion is presented for posets associated with polygonal graphs to have the Sperner property.
Key words: partially ordered set, Sperner property, polygonal graph, path, zigzag.
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: V. N. Salii, “The Sperner property for polygonal graphs considered as partially ordered sets”, Izv. Saratov Univ. Math. Mech. Inform., 16:2 (2016), 226–231
Citation in format AMSBIB
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\by V.~N.~Salii
\paper The Sperner property for polygonal graphs considered as partially ordered sets
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 2
\pages 226--231
\mathnet{http://mi.mathnet.ru/isu640}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-2-226-231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3522917}
\elib{https://elibrary.ru/item.asp?id=26254386}
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