Minimalni usmerjeni krepko regularni Cayleyjevi grafi nad posplošenimi dicikličnimi grupami

Let G be a group with identity element 1, and let S be a subset of G {1}. The subset S is called minimal if ⟨S⟩ = G and there exists an element s ∈ S such that ⟨S {s, s−1}⟩ ≠ G. In this paper, we completely determine all directed strongly regular Cayley graphs Cay(G, S) for any generalized dicyclic group G, provided that S is a minimal subset of G.

Publication Details

Journal
Repository of the University of Primorsk (University of Primorska)
Published
2025-05-06
Primary Topic
Finite Group Theory Research
Type
article
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article

Minimalni usmerjeni krepko regularni Cayleyjevi grafi nad posplošenimi dicikličnimi grupami

Repository of the University of Primorsk (University of Primorska)
Finite Group Theory Research
article

Minimalni usmerjeni krepko regularni Cayleyjevi grafi nad posplošenimi dicikličnimi grupami

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Abstract

Let G be a group with identity element 1, and let S be a subset of G {1}. The subset S is called minimal if ⟨S⟩ = G and there exists an element s ∈ S such that ⟨S {s, s−1}⟩ ≠ G. In this paper, we completely determine all directed strongly regular Cayley graphs Cay(G, S) for any generalized dicyclic group G, provided that S is a minimal subset of G.

Repository of the University of Primorsk (University of Primorska)
Openalex Percentile: Top 22%
Finite Group Theory Research
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Minimalni usmerjeni krepko regularni Cayleyjevi grafi nad posplošenimi dicikličnimi grupami · Repository of the University of Primorsk (University of Primorska) (2025) | TGRS Research Map | TGRS