Zero Divisor Graph for the Ring of Gaussian Integers Modulon

DOI10.1080/00927870802160859zbMath1151.05042OpenAlexW1983277353MaRDI QIDQ3543407

Salah Al-Addasi, Nafiz abu Jaradeh, Emad Abu Osba

Publication date: 2 December 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802160859

zbMATH Keywords

graphbipartite graphdiametergirthEulerian graphplanar graphGaussian integerscomplete graphzero divisor graph

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) General commutative ring theory (13A99)

Related Items (8)

On the zero divisor graphs of the ring of Lipschitz integers modulo \(n\) ⋮ The Complement Graph for Gaussian Integers Modulon ⋮ Some aspects of zero-divisor graphs for the ring of Gaussian integers modulo \(2^n\) ⋮ On graphs associated to ring of Guassian integers and ring of integers modulo \(n\) ⋮ Pancyclic zero divisor graph over the ring ℤn[i] ⋮ SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n ⋮ On the line graph of the zero divisor graph for the ring of Gaussian integers modulo \(n\) ⋮ Units on the Gauss extension of a Galois ring

Cites Work

• The zero-divisor graph of a commutative ring
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• The Euler φ-Function in the Gaussian Integers
• CYCLES AND SYMMETRIES OF ZERO-DIVISORS

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