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Tetravalent 1-regular normal Cayley graphs on dihedral groups.

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Τίτλος: Tetravalent 1-regular normal Cayley graphs on dihedral groups.
Συγγραφείς: Alaeiyan, Mehdi1 (AUTHOR) alaeiyan@iust.ac.ir, Hosseinipoor, Mohammad Kazem1 (AUTHOR) mhosseinipoor@gmail.com, Rathour, Laxmi2 (AUTHOR) laxmirathour817@gmail.com, Mishra, Vishnu Narayan3 (AUTHOR) vishnunarayanmishra@gmail.com
Πηγή: Discrete Mathematics, Algorithms & Applications. Aug2026, Vol. 18 Issue 6, p1-7. 7p.
Θεματικοί όροι: *Cayley graphs, *Regular graphs, *Symmetry groups, *Homomorphisms
Περίληψη: For a finite group G , and a subset S of G such that 1 G ∉ S , let Γ = Cay (G , S) be a Cayley graph of G relative to S. An arc-transitive graph Γ is said to be 1-regular if Aut (Γ) acts regularly on 1-arcs set. This paper provides a classification of 1-regular normal Cayley graphs on dihedral groups of valency 4. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  Data: Tetravalent 1-regular normal Cayley graphs on dihedral groups.
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  Data: <searchLink fieldCode="AR" term="%22Alaeiyan%2C+Mehdi%22">Alaeiyan, Mehdi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> alaeiyan@iust.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Hosseinipoor%2C+Mohammad+Kazem%22">Hosseinipoor, Mohammad Kazem</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mhosseinipoor@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Rathour%2C+Laxmi%22">Rathour, Laxmi</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> laxmirathour817@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Mishra%2C+Vishnu+Narayan%22">Mishra, Vishnu Narayan</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> vishnunarayanmishra@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Discrete+Mathematics%2C+Algorithms+%26+Applications%22">Discrete Mathematics, Algorithms & Applications</searchLink>. Aug2026, Vol. 18 Issue 6, p1-7. 7p.
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  Data: *<searchLink fieldCode="DE" term="%22Cayley+graphs%22">Cayley graphs</searchLink><br />*<searchLink fieldCode="DE" term="%22Regular+graphs%22">Regular graphs</searchLink><br />*<searchLink fieldCode="DE" term="%22Symmetry+groups%22">Symmetry groups</searchLink><br />*<searchLink fieldCode="DE" term="%22Homomorphisms%22">Homomorphisms</searchLink>
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  Label: Abstract
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  Data: For a finite group G , and a subset S of G such that 1 G ∉ S , let Γ = Cay (G , S) be a Cayley graph of G relative to S. An arc-transitive graph Γ is said to be 1-regular if Aut (Γ) acts regularly on 1-arcs set. This paper provides a classification of 1-regular normal Cayley graphs on dihedral groups of valency 4. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1142/S1793830925500971
    Languages:
      – Code: eng
        Text: English
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        PageCount: 7
        StartPage: 1
    Subjects:
      – SubjectFull: Cayley graphs
        Type: general
      – SubjectFull: Regular graphs
        Type: general
      – SubjectFull: Symmetry groups
        Type: general
      – SubjectFull: Homomorphisms
        Type: general
    Titles:
      – TitleFull: Tetravalent 1-regular normal Cayley graphs on dihedral groups.
        Type: main
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          Name:
            NameFull: Alaeiyan, Mehdi
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            NameFull: Hosseinipoor, Mohammad Kazem
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            NameFull: Rathour, Laxmi
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            NameFull: Mishra, Vishnu Narayan
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            – D: 01
              M: 08
              Text: Aug2026
              Type: published
              Y: 2026
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              Value: 18
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              Value: 6
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            – TitleFull: Discrete Mathematics, Algorithms & Applications
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