Abstract
The concept of the zero-divisor graph of a commutative ring has been studied by many authors, and the
The concept of the zero-divisor graph of a commutative ring has been studied by many authors, and the
I. Beck, “Coloring of commutative rings,” Journal of Algebra, vol. 116, no. 1, pp. 208–226, 1988.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetD. D. Anderson and M. Naseer, “Beck's coloring of a commutative ring,” Journal of Algebra, vol. 159, no. 2, pp. 500–514, 1993.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetS. Akbari and A. Mohammadian, “On the zero-divisor graph of a commutative ring,” Journal of Algebra, vol. 274, no. 2, pp. 847–855, 2004.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetS. Akbari, H. R. Maimani, and S. Yassemi, “When a zero-divisor graph is planar or a complete -partite graph,” Journal of Algebra, vol. 270, no. 1, pp. 169–180, 2003.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetD. F. Anderson and P. S. Livingston, “The zero-divisor graph of a commutative ring,” Journal of Algebra, vol. 217, no. 2, pp. 434–447, 1999.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetD. F. Anderson, A. Frazier, A. Lauve, and P. S. Livingston, “The zero-divisor graph of a commutative ring. II,” in Ideal Theoretic Methods in Commutative Algebra (Columbia, MO, 1999), vol. 220 of Lecture Notes in Pure and Applied Mathematics, pp. 61–72, Marcel Dekker, New York, NY, USA, 2001.
View at: Google Scholar | Zentralblatt MATH | MathSciNetD. F. Anderson, R. Levy, and J. Shapiro, “Zero-divisor graphs, von Neumann regular rings, and Boolean algebras,” Journal of Pure and Applied Algebra, vol. 180, no. 3, pp. 221–241, 2003.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetF. DeMeyer and K. Schneider, “Automorphisms and zero divisor graphs of commutative rings,” International Journal of Commutative Rings, vol. 1, no. 3, pp. 93–106, 2002.
View at: Google ScholarS. B. Mulay, “Cycles and symmetries of zero-divisors,” Communications in Algebra, vol. 30, no. 7, pp. 3533–3558, 2002.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetR. Diestel, Graph Theory, Springer, New York, NY, USA, 1991.
Ch. Eslahchi and A. Rafiey, “Circular chromatic number of hypergraphs,” Ars Combinatoria, vol. 73, pp. 239–246, 2004.
View at: Google Scholar | Zentralblatt MATH | MathSciNetCh. Eslahchi and A. Rafiey, “C-perfect -uniform hypergraphs,” Ars Combinatoria, vol. 79, pp. 235–244, 2006.
View at: Google Scholar | MathSciNetN. Ganesan, “Properties of rings with a finite number of zero divisors—II,” Mathematische Annalen, vol. 161, no. 4, pp. 241–246, 1965.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetM. Axtell, J. Coykendall, and J. Stickles, “Zero-divisor graphs of polynomials and power series over commutative rings,” Communications in Algebra, vol. 33, no. 6, pp. 2043–2050, 2005.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNet