Structure connectivity and substructure connectivity of strong exchanged hypercube.
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| Title: | Structure connectivity and substructure connectivity of strong exchanged hypercube. |
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| Authors: | Ma, Zheng1 (AUTHOR) mazheng9041@163.com, Ren, Shengzhang1 (AUTHOR) renshengzhang1980@163.com |
| Source: | Theoretical Computer Science. Apr2026, Vol. 1069, pN.PAG-N.PAG. 1p. |
| Subjects: | Hypercube networks (Computer networks), Graph connectivity, Computer network reliability, Fault tolerance (Engineering) |
| Abstract: | As a fundamental variant of hypercube networks, the exchanged hypercube EH (s, t) is among the most prevalent interconnection topologies in modern computing systems. While connectivity is closely related to network reliability and fault tolerance. The exchange hypercube EH (s, t) is a common interconnection topology. To enhance its connectivity, we propose the strong exchange hypercube (SEH (s, t)) by adding a set of specific edges, denoted as E 4. Lin et al. extended the notion of connectivity by introducing two new kinds of connectivity, called structure connectivity κ (G ; H) and substructure connectivity κs (SEH (s, t); H), respectively. In this paper, we characterize the κ (SEH (s, t); H) and κs (SEH (s, t); H) of SEH (s, t) for H ∈ { P k , K 1, r , C 2 m }, where 2 ⩽ k ⩽ 2 s + 1 ⩽ s + t + 1 , 2 ≤ r ≤ s ≤ t , 4 ≤ 2 m ≤ 2 s. [ABSTRACT FROM AUTHOR] |
| Copyright of Theoretical Computer Science 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: 192173892 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Structure connectivity and substructure connectivity of strong exchanged hypercube. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Ma%2C+Zheng%22">Ma, Zheng</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mazheng9041@163.com</i><br /><searchLink fieldCode="AR" term="%22Ren%2C+Shengzhang%22">Ren, Shengzhang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> renshengzhang1980@163.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Theoretical+Computer+Science%22">Theoretical Computer Science</searchLink>. Apr2026, Vol. 1069, pN.PAG-N.PAG. 1p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Hypercube+networks+%28Computer+networks%29%22">Hypercube networks (Computer networks)</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+connectivity%22">Graph connectivity</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+network+reliability%22">Computer network reliability</searchLink><br /><searchLink fieldCode="DE" term="%22Fault+tolerance+%28Engineering%29%22">Fault tolerance (Engineering)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: As a fundamental variant of hypercube networks, the exchanged hypercube EH (s, t) is among the most prevalent interconnection topologies in modern computing systems. While connectivity is closely related to network reliability and fault tolerance. The exchange hypercube EH (s, t) is a common interconnection topology. To enhance its connectivity, we propose the strong exchange hypercube (SEH (s, t)) by adding a set of specific edges, denoted as E 4. Lin et al. extended the notion of connectivity by introducing two new kinds of connectivity, called structure connectivity κ (G ; H) and substructure connectivity κs (SEH (s, t); H), respectively. In this paper, we characterize the κ (SEH (s, t); H) and κs (SEH (s, t); H) of SEH (s, t) for H ∈ { P k , K 1, r , C 2 m }, where 2 ⩽ k ⩽ 2 s + 1 ⩽ s + t + 1 , 2 ≤ r ≤ s ≤ t , 4 ≤ 2 m ≤ 2 s. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Theoretical Computer Science 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.tcs.2026.115801 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 1 StartPage: N.PAG Subjects: – SubjectFull: Hypercube networks (Computer networks) Type: general – SubjectFull: Graph connectivity Type: general – SubjectFull: Computer network reliability Type: general – SubjectFull: Fault tolerance (Engineering) Type: general Titles: – TitleFull: Structure connectivity and substructure connectivity of strong exchanged hypercube. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Ma, Zheng – PersonEntity: Name: NameFull: Ren, Shengzhang IsPartOfRelationships: – BibEntity: Dates: – D: 20 M: 04 Text: Apr2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 03043975 Numbering: – Type: volume Value: 1069 Titles: – TitleFull: Theoretical Computer Science Type: main |
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