On iteration digraph and zero-divisor graph of the ring ℤ n

DOI10.1007/s10587-014-0122-9zbMath1349.05145OpenAlexW2009955235MaRDI QIDQ2940666

Tengxia Ju, Meiyun Wu

Publication date: 27 January 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144048

zbMATH Keywords

treecyclevertex-connectivityzero-divisor graphiteration digraph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Congruences; primitive roots; residue systems (11A07) Directed graphs (digraphs), tournaments (05C20)

Related Items (5)

Proper divisor graph of a positive integer ⋮ On the edge metric dimension and Wiener index of the blow up of graphs ⋮ On signless Laplacian spectrum of the zero divisor graphs of the ring $\mathbb{Z}_{n}$ ⋮ On the signless Laplacian and normalized Laplacian spectrum of the zero divisor graphs ⋮ Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)

Cites Work

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• Connectivity of the zero-divisor graph for finite rings
• Some digraphs arising from number theory and remarks on the zero-divisor graph of the ring \(Z_n\)
• Coloring of commutative rings
• On the iteration of certain quadratic maps over GF(\(p\)).
• On the zero-divisor graph of a commutative ring
• Structure of digraphs associated with quadratic congruences with composite moduli
• The structure of digraphs associated with the congruence x k ≡ y (mod n)
• On a Connection of Number Theory with Graph Theory

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