The constructions of partially balanced incomplete block designs based on Kneser graphs.
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| Title: | The constructions of partially balanced incomplete block designs based on Kneser graphs. |
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| Authors: | Liang, Xiaoye1,2 (AUTHOR), Li, Bohan1 (AUTHOR), Qin, Yongbin1 (AUTHOR), Tan, Ying-Ying1,2 (AUTHOR) tansusan1@ahjzu.edu.cn |
| Source: | Discrete Applied Mathematics. Aug2026, Vol. 389, p214-220. 7p. |
| Subjects: | Block designs, Independent sets, Paths & cycles in graph theory, Combinatorial designs & configurations, Dominating set |
| Abstract: | A partially balanced incomplete block design (PBIBD), defined on an association scheme, is a generalization of the combinatorial 2-design. This paper investigates the construction of PBIBDs based on subgraph structures within the Kneser graph. Specifically, three families of PBIBDs are introduced, with blocks derived from diametral paths, maximum independent sets, and minimal bi-connected dominating sets. It is demonstrated that each of these new constructions yields a PBIBD. [ABSTRACT FROM AUTHOR] |
| Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193658968 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The constructions of partially balanced incomplete block designs based on Kneser graphs. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Liang%2C+Xiaoye%22">Liang, Xiaoye</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Bohan%22">Li, Bohan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Qin%2C+Yongbin%22">Qin, Yongbin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tan%2C+Ying-Ying%22">Tan, Ying-Ying</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> tansusan1@ahjzu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Discrete+Applied+Mathematics%22">Discrete Applied Mathematics</searchLink>. Aug2026, Vol. 389, p214-220. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Block+designs%22">Block designs</searchLink><br /><searchLink fieldCode="DE" term="%22Independent+sets%22">Independent sets</searchLink><br /><searchLink fieldCode="DE" term="%22Paths+%26+cycles+in+graph+theory%22">Paths & cycles in graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Combinatorial+designs+%26+configurations%22">Combinatorial designs & configurations</searchLink><br /><searchLink fieldCode="DE" term="%22Dominating+set%22">Dominating set</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A partially balanced incomplete block design (PBIBD), defined on an association scheme, is a generalization of the combinatorial 2-design. This paper investigates the construction of PBIBDs based on subgraph structures within the Kneser graph. Specifically, three families of PBIBDs are introduced, with blocks derived from diametral paths, maximum independent sets, and minimal bi-connected dominating sets. It is demonstrated that each of these new constructions yields a PBIBD. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Discrete Applied Mathematics is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.dam.2026.03.055 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 214 Subjects: – SubjectFull: Block designs Type: general – SubjectFull: Independent sets Type: general – SubjectFull: Paths & cycles in graph theory Type: general – SubjectFull: Combinatorial designs & configurations Type: general – SubjectFull: Dominating set Type: general Titles: – TitleFull: The constructions of partially balanced incomplete block designs based on Kneser graphs. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Liang, Xiaoye – PersonEntity: Name: NameFull: Li, Bohan – PersonEntity: Name: NameFull: Qin, Yongbin – PersonEntity: Name: NameFull: Tan, Ying-Ying IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 08 Text: Aug2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 0166218X Numbering: – Type: volume Value: 389 Titles: – TitleFull: Discrete Applied Mathematics Type: main |
| ResultId | 1 |
