On zero divisor graphs of the rings \(Z_n\)

DOI10.1007/s13370-019-00755-3zbMath1449.13008OpenAlexW2998663017MaRDI QIDQ780616

M. Aijaz, M. Imran Bhat, Shariefuddin Pirzada

Publication date: 15 July 2020

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-019-00755-3

zbMATH Keywords

ringzero divisor graphcompressed zero divisor graphring of integer modulo n

Mathematics Subject Classification ID

Distance in graphs (05C12) Graph labelling (graceful graphs, bandwidth, etc.) (05C78) General commutative ring theory (13A99)

Related Items (16)

Essential ideals represented by mod-annihilators of modules ⋮ On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of ℤ_n ⋮ Some aspects of zero-divisor graphs for the ring of Gaussian integers modulo \(2^n\) ⋮ The Wiener index of the zero-divisor graph of \(\mathbb{Z}_n\) ⋮ Fault-tolerant metric dimension of zero-divisor graphs of commutative rings ⋮ On graphs associated to ring of Guassian integers and ring of integers modulo \(n\) ⋮ Spectrum of Graphs over Rings: A Survey ⋮ Wiener index of graphs over rings: a survey ⋮ On graphs with equal coprime index and clique number ⋮ The metric chromatic number of zero divisor graph of a ring \(\mathrm{Z_n} \) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Metric and upper dimension of zero divisor graphs associated to commutative rings ⋮ On the eigenvalues of zero-divisor graph associated to finite commutative ring ⋮ Unnamed Item ⋮ Subspace-based nonzero component graph of a finite dimensional vector space

Cites Work

• Unnamed Item
• Unnamed Item
• Commutative Boolean monoids, reduced rings, and the compressed zero-divisor graph
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• Computing metric dimension of compressed zero divisor graphs associated to rings
• On locating numbers and codes of zero divisor graphs associated with commutative rings
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• On graphs with same metric and upper dimension
• Upper dimension and bases of zero-divisor graphs of commutative rings
• Algebraic graph theory. Morphisms, monoids and matrices

This page was built for publication: On zero divisor graphs of the rings \(Z_n\)