The Lower and Upper Bounds of Turan Number for Odd Wheels
DC Field | Value | Language |
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dc.contributor.author | Kim, Byeong Moon | - |
dc.contributor.author | Song, Byung Chul | - |
dc.contributor.author | Hwang, Woonjae | - |
dc.date.accessioned | 2021-11-21T02:40:49Z | - |
dc.date.available | 2021-11-21T02:40:49Z | - |
dc.date.created | 2021-08-30 | - |
dc.date.issued | 2021-05 | - |
dc.identifier.issn | 0911-0119 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/128185 | - |
dc.description.abstract | The Turan number for a graph H, denoted by ex(n, H), is the maximum number of edges in any simple graph with n vertices which doesn't contain H as a subgraph. In this paper we find the lower and upper bounds for ex(n, W-2t(+1)). We show that if n >= 4t, then ex(n, W-2t(+1)) >= left perpendicular left perpendicular2n+t/4right perpendicular (n + t-1/2 - left perpendicular2n+t/4right perpendicular)right perpendicular + 1. We also show that for sufficiently large n and t >= 5, ex(n, W-2t(+1)) <= n(2)/4 + t-1/2n. Moreover we find the exact value of the Turan number for W-9. That is, we show that for sufficiently large n, ex(n, W-9) = left perpendicularn(2)/4right perpendicular [3/4n] + 1. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER JAPAN KK | - |
dc.title | The Lower and Upper Bounds of Turan Number for Odd Wheels | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Hwang, Woonjae | - |
dc.identifier.doi | 10.1007/s00373-021-02290-0 | - |
dc.identifier.scopusid | 2-s2.0-85102295580 | - |
dc.identifier.wosid | 000627236100001 | - |
dc.identifier.bibliographicCitation | GRAPHS AND COMBINATORICS, v.37, no.3, pp.919 - 932 | - |
dc.relation.isPartOf | GRAPHS AND COMBINATORICS | - |
dc.citation.title | GRAPHS AND COMBINATORICS | - |
dc.citation.volume | 37 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 919 | - |
dc.citation.endPage | 932 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Turan number | - |
dc.subject.keywordAuthor | Extremal graph | - |
dc.subject.keywordAuthor | Odd wheel | - |
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