References
- M. Afkhami, K. Khashyarmanesh, and S. M. Shakhdari, The annihilator graph of a commutative semigroup, J. Algebra Appl. 14 (2015), 1550015, 14 pp. https://doi.org/10.1142/S0219498815500152
- F. Aliniaeifard and Y. Li, Zero-divisor graphs for group rings, J. Algebra 42 (2014), no. 11, 4790-4800.
- D. F. Anderson and A. Badawi, The total graph of a commutative ring, J. Algebra 320 (2008), no. 7, 2706-2719. https://doi.org/10.1016/j.jalgebra.2008.06.028
- D. F. Anderson and A. Badaw, The generalized total graph of a commutative ring J. Algebra Appl. 12 (2013), 1250212, 18 pp. https://doi.org/10.1142/S021949881250212X
- D. F. Anderson and P. S. Livignston, The zero-divisor graph of a commutative ring, J. Algebra 217 (1999), no. 2, 434-447. https://doi.org/10.1006/jabr.1998.7840
- D. D. Anderson and M. Naseer, Beck's coloring of a commutative ring, J. Algebra 159 (1993), no. 2, 500-514. https://doi.org/10.1006/jabr.1993.1171
- A. Ashrafi, H. R. Maimani, M. R. Pournaki, and S. Yassemi, Unit graphs associated with rings, Comm. Algebra 38 (2010), no. 8, 2851-2871. https://doi.org/10.1080/00927870903095574
- M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra, Addision-Wesley Publishing Company London, 1969.
- A. Badawi, On the annihilator graph of a commutative ring, Comm. Algebra 42 (2014), no. 1, 108-121. https://doi.org/10.1080/00927872.2012.707262
- A. Badawi, On the dot product graph of a commutative ring, Comm. Algebra 43 (2015), no. 1, 43-50. https://doi.org/10.1080/00927872.2014.897188
- Z. Barati, K. Khashyarmanesh, F. Mohammadi, and K. Nafar, On the associated graphs to a commutative ring, J. Algebra Appl. 11 (2012), no. 2, 1250037, 17 pp. https://doi.org/10.1142/S0219498811005610
- I. Beck, Coloring of commutative rings, J. Algebra 116 (1988), no. 1, 208-226. https://doi.org/10.1016/0021-8693(88)90202-5
- J. A. Bondy and U. S. R. Murty, Graph Theory, Graduate Texts in Mathematics, 244, Springer, New York, 2008.
- F. R. DeMeyer, T.McKenzie, and K. Schneider, The zero-divisor graph of a commutative semigroup, Semigroup Forum 65 (2002), no. 2, 206-214. https://doi.org/10.1007/s002330010128
- A. B. Ganagi, I. Gutman, and H. S. Ramane, On diameter of line graphs, Iran. J. Math. Sci. Inform. 8 (2013), no. 1, 105-109.
- I. Gilter, E. Reyes, and R. H. Villareal, Ring graphs and complete intersection toric ideals, Discrete Math. 310 (2010), no. 3, 430-441. https://doi.org/10.1016/j.disc.2009.03.020
- K. R. McLean, Commutative Artinian principal ideal rings, Proc. Lond. Math. Soc. 26 (1973), 249-272.
- C. P. Milies and S. K. Sehgal, An Introduction to Group Rings, Dordrecht Kluwer Academic Publisher, 2002.
- W. K. Nicholson, Local group rings, Canad. Math. Bull. 15 (1972), 137-138. https://doi.org/10.4153/CMB-1972-025-1
- S. Redmond, On zero-divisor graphs of small finite commutative rings, Discrete Math. 307 (2007), no. 9-10, 1155-1166. https://doi.org/10.1016/j.disc.2006.07.025
- J. Sedlacek, Some properties of interchange graphs, Theory of Graphs and its Applications (Proceedings of the Symposium, Smolenice, 1963), 145-150, Publishing House of the Czechoslovak Academy of Sciences, Prague, 1964.