THE LINEAR DISCREPANCY OF A PRODUCT OF TWO POSETS
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cheong, Minseok | - |
dc.date.accessioned | 2021-09-03T15:04:00Z | - |
dc.date.available | 2021-09-03T15:04:00Z | - |
dc.date.created | 2021-06-16 | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/86334 | - |
dc.description.abstract | For a poset P = (X, <= p), the linear discrepancy of P is the minimum value of maximal differences of all incomparable elements for all possible labelings. In this paper, we find a lower bound and an upper bound of the linear discrepancy of a product of two posets. In order to give a lower bound, we use the known result, ld(m x n) = [mm/2] - 2. Next, we use Dilworth's chain decomposition to obtain an upper bound of the linear discrepancy of a product of a poset and a chain. Finally, we give an example touching this upper bound. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | THE LINEAR DISCREPANCY OF A PRODUCT OF TWO POSETS | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Cheong, Minseok | - |
dc.identifier.doi | 10.4134/BKMS.b160501 | - |
dc.identifier.scopusid | 2-s2.0-85019769531 | - |
dc.identifier.wosid | 000404824800024 | - |
dc.identifier.bibliographicCitation | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.3, pp.1081 - 1094 | - |
dc.relation.isPartOf | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 54 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 1081 | - |
dc.citation.endPage | 1094 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART002225879 | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | poset | - |
dc.subject.keywordAuthor | product of posets | - |
dc.subject.keywordAuthor | linear discrepancy | - |
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