Tetravalent 1-regular normal Cayley graphs on dihedral groups
For a finite group [Formula: see text], and a subset [Formula: see text] of [Formula: see text] such that [Formula: see text], let [Formula: see text] be a Cayley graph of [Formula: see text] relative to [Formula: see text]. An arc-transitive graph [Formula: see text] is said to be 1-regular if [Formula: see text] acts regularly on 1-arcs set. This paper provides a classification of 1-regular normal Cayley graphs on dihedral groups of valency [Formula: see text].
Authors
- Laxmi Rathour (ORCID: https://orcid.org/0000-0002-2659-7568)
- Vishnu Narayan Mishra (ORCID: https://orcid.org/0000-0002-2159-7710)
- Mehdi Alaeiyan (ORCID: https://orcid.org/0000-0003-2185-5967)
- Mohammad Kazem Hosseinipoor
Institutions
- Indira Gandhi National Tribal University (IN)
- Iran University of Science and Technology (IR)
- Maulana Azad National Institute of Technology (IN)
Publication Details
- Journal
- Discrete Mathematics Algorithms and Applications
- Published
- 2025-06-06
- DOI
- https://doi.org/10.1142/s1793830925500971
- Citations
- 1
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 5.33