On the symmetric digraphs from the kth power mapping on finite commutative rings

DOI10.1142/S1793830914500645zbMath1312.05061OpenAlexW2135271490MaRDI QIDQ5245847

Lawrence Somer, Guixin Deng

Publication date: 15 April 2015

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

Full work available at URL: https://doi.org/10.1142/s1793830914500645

zbMATH Keywords

heightcycle lengthsymmetriccomponentdigraph product

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite fields and commutative rings (number-theoretic aspects) (11T99) Directed graphs (digraphs), tournaments (05C20)

Related Items (2)

Exponent of local ring extensions of Galois rings and digraphs of the $k$th power mapping ⋮ Digraphs associated with the kth power map on the quotient ring of polynomials over finite fields

Cites Work

• On the symmetric digraphs from powers modulo \(n\)
• The digraph of the \(k\)th power mapping of the quotient ring of polynomials over finite fields
• On symmetric digraphs of the congruence \(x^k \equiv y \pmod n\)
• The graph of the square mapping on the prime fields
• Symmetric Digraphs from Powers Modulo <i>n</i>
• On a Connection of Number Theory with Graph Theory
• Symmetry of iteration graphs

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