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On an extremal problem for poset dimension
Journal
Order
20
Author
Guśpiel Grzegorz
Micek Piotr
Polak Adam
Volume
35
Issue
3
Pages
489-493
ISSN
0167-8094
eISSN
1572-9273
Keywords in English
partially ordered sets
poset dimension
extremal combinatorics
permutation matrices
Language
English
Container language
English
Abstract in English
Let
Affiliation
Wydział Matematyki i Informatyki : Zespół Katedr i Zakładów Informatyki Matematycznej
cris.lastimport.wos | 2024-04-09T19:48:14Z | |
dc.abstract.en | Let $f(n)$ be the largest integer such that every poset on n elements has a 2-dimensional subposet on $f(n)$ elements. What is the asymptotics of $f(n)$? It is easy to see that $f(n)$ = n 1/2. We improve the best known upper bound and show $f(n)$ = $O (n 2/3)$. For higher dimensions, we show $fd(n)$=$O(ndd+1)$, where f $d(n)$ is the largest integer such that every poset on n elements has a d-dimensional subposet on f $d(n)$ elements. | pl |
dc.affiliation | Wydział Matematyki i Informatyki : Zespół Katedr i Zakładów Informatyki Matematycznej | pl |
dc.contributor.author | Guśpiel, Grzegorz - 187176 | pl |
dc.contributor.author | Micek, Piotr - 142050 | pl |
dc.contributor.author | Polak, Adam - 177165 | pl |
dc.date.accessioned | 2018-11-02T14:44:54Z | |
dc.date.available | 2018-11-02T14:44:54Z | |
dc.date.issued | 2018 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 3 | pl |
dc.description.physical | 489-493 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 35 | pl |
dc.identifier.doi | 10.1007/s11083-017-9444-1 | pl |
dc.identifier.eissn | 1572-9273 | pl |
dc.identifier.issn | 0167-8094 | pl |
dc.identifier.project | 2015/18/E/ST6/00299 | pl |
dc.identifier.project | Polish Ministry of Science and Higher Education grant DI2013 000443 | pl |
dc.identifier.project | Polish Ministry of Science and Higher Education program “Diamentowy Grant" | pl |
dc.identifier.project | ROD UJ / OP | pl |
dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/59273 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | otwarte czasopismo | |
dc.subject.en | partially ordered sets | pl |
dc.subject.en | poset dimension | pl |
dc.subject.en | extremal combinatorics | pl |
dc.subject.en | permutation matrices | pl |
dc.subtype | Article | pl |
dc.title | On an extremal problem for poset dimension | pl |
dc.title.journal | Order | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence