The power digraphs associated with generalized dihedral groups

DOI10.1142/S1793830915500573zbMath1331.05092MaRDI QIDQ2788735

Uzma Ahmad

Publication date: 22 February 2016

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

fixed pointcyclesheightsin-degreegeneralized dihedral groupsregular digraphiteration digraphdistances between verticessemi-regular digraph

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Distance in graphs (05C12) Directed graphs (digraphs), tournaments (05C20)

Related Items (3)

On the functional graph of the power map over finite groups ⋮ Structural properties of group power digraphs ⋮ Digraph from power mapping on noncommutative groups

Cites Work

• On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\)
• Structure of digraphs associated with quadratic congruences with composite moduli
• Digraphs from Endomorphisms of Finite Cyclic Groups
• On the heights of power digraphs modulo n
• On a Connection of Number Theory with Graph Theory
• Groups, Graphs, and Fermat's Last Theorem
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