Proper divisor graph of a positive integer

zbMath1479.05145arXiv2005.04441MaRDI QIDQ4958946

Hitesh Kumar, Binod Kumar Sahoo, Kamal Lochan Patra

Publication date: 15 September 2021

Full work available at URL: https://arxiv.org/abs/2005.04441

zbMATH Keywords

elementary number theorygraph parameterszero divisor graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other combinatorial number theory (11B75) Structural characterization of families of graphs (05C75) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• On the zero-divisor graph of a commutative ring
• Laplacian eigenvalues of the zero divisor graph of the ring \(\mathbb{Z}_n\)
• Inverses of triangular matrices and bipartite graphs
• On iteration digraph and zero-divisor graph of the ring ℤ n
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