Alternative Proofs of a Theorem of Bose and Dowling for Strongly Regular Graphs.

Saved in:
Bibliographic Details
Title: Alternative Proofs of a Theorem of Bose and Dowling for Strongly Regular Graphs.
Authors: TALBI, MALIK1 mtalbi@ksu.edu.sa
Source: Journal of Multiple-Valued Logic & Soft Computing. 2025, Vol. 46 Issue 5/6, p601-608. 8p.
Subjects: Graph theory, Regular graphs, Graph connectivity
Abstract: In this paper, we give two proofs of a theorem of Bose and Dowling on non necessarily regular graphs satisfying the two other conditions of strong regularity. This theorem states that a simple graph for which there exist two non-negative entegers λ and μ such that any two adjacent vertices have exactly λ common neighbors and any two nonadjacent vertices have exactly μ common neighbors, is regular except for some cases that can be considered as trivial. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Multiple-Valued Logic & Soft Computing is the property of Old City Publishing, Inc. 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 Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 192242477
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Alternative Proofs of a Theorem of Bose and Dowling for Strongly Regular Graphs.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22TALBI%2C+MALIK%22">TALBI, MALIK</searchLink><relatesTo>1</relatesTo><i> mtalbi@ksu.edu.sa</i>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Journal+of+Multiple-Valued+Logic+%26+Soft+Computing%22">Journal of Multiple-Valued Logic & Soft Computing</searchLink>. 2025, Vol. 46 Issue 5/6, p601-608. 8p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Regular+graphs%22">Regular graphs</searchLink><br /><searchLink fieldCode="DE" term="%22Graph+connectivity%22">Graph connectivity</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, we give two proofs of a theorem of Bose and Dowling on non necessarily regular graphs satisfying the two other conditions of strong regularity. This theorem states that a simple graph for which there exist two non-negative entegers λ and μ such that any two adjacent vertices have exactly λ common neighbors and any two nonadjacent vertices have exactly μ common neighbors, is regular except for some cases that can be considered as trivial. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Multiple-Valued Logic & Soft Computing is the property of Old City Publishing, Inc. 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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=192242477
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 8
        StartPage: 601
    Subjects:
      – SubjectFull: Graph theory
        Type: general
      – SubjectFull: Regular graphs
        Type: general
      – SubjectFull: Graph connectivity
        Type: general
    Titles:
      – TitleFull: Alternative Proofs of a Theorem of Bose and Dowling for Strongly Regular Graphs.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: TALBI, MALIK
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 15
              M: 11
              Text: 2025
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 15423980
          Numbering:
            – Type: volume
              Value: 46
            – Type: issue
              Value: 5/6
          Titles:
            – TitleFull: Journal of Multiple-Valued Logic & Soft Computing
              Type: main
ResultId 1