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- Title
The digraphs arising by the power maps of generalized quaternion groups.
- Authors
Ahmad, Uzma; Moeen, Muqadas
- Abstract
We attach a diagraph with generalized Quaternion group of order by utilizing the power map defined by for all , where is a fixed natural number. We examine the structure of these power digraphs and establish numerous results encapsulating the existence of cycle vertices, derivation of different formulae concerning the number of cycles, length of cycles and most importantly in-degree of vertices. Moreover, we categorize the regular and semi-regular power digraphs.
- Subjects
DIRECTED graphs; GENERALIZATION; QUATERNION functions; GROUP theory; MATHEMATICAL formulas
- Publication
Journal of Algebra & Its Applications, 2017, Vol 16, Issue 9, p-1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498817501791