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Some properties of comaximal ideal graph of a commutative ring | ||
| Transactions on Combinatorics | ||
| مقاله 3، دوره 6، شماره 1، خرداد 2017، صفحه 29-37 اصل مقاله (613.91 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2017.20429 | ||
| نویسندگان | ||
| Mehrdad Azadi* ؛ Zeinab Jafari | ||
| Islamic Azad University, Central Tehran Branch | ||
| چکیده | ||
| Let $R$ be a commutative ring with identity. We use $\varphi (R)$ to denote the comaximal ideal graph. The vertices of $\varphi (R)$ are proper ideals of R which are not contained in the Jacobson radical of $R$, and two vertices $I$ and $J$ are adjacent if and only if $I + J = R$. In this paper we show some properties of this graph together with planarity of line graph associated to $\varphi (R)$. | ||
| کلیدواژهها | ||
| Comaximal graph؛ planar graph؛ line graph | ||
| مراجع | ||
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[1] M. Azadi, Z. Jafari and Ch. Eslahchi, On the Comaximal ideal graph of a commutative ring, Turkish J. Math., 40 (2016) 905-913.
[2] R. Diestel, Graph Theory, Graduate Texts in Mathematics, 173, Springer-Verlag, New York, 2000.
[3] F. Harary, Graph Theory, Addison-Wesley Publishing Co., Reading, Mass.-Menlo Park, Calif.-London, 1969.
[4] H. R. Maimani, M. Salimi, A. Sattari and S. Yassemi, Comaximal graph of commutative rings, J. Algebra, 319 (2008) 1801-1808.
[5] J. Sedlacek, Some properties of interchange graphs, Theory of graphs and its applications, Academic Press, 1964 145-150.
[6] P. K. Sharma and S. M. Bhatwadekar, A note on graphical representation of rings, J. Algebra, 176 (1995) 124-127.
[7] J. H. van Lint and R. M. Wilson, A Course in Combinatorics, Second edition, Cambridge University Press, Cambridge, 2001.
[8] W. Weisstein, Line Graph, From MathWorld-A Wolfrom WebResource.
[9] M. Ye and T. S. Wu, Comaximal ideal graphs of Commutative Rings, Journal of Algebra and Its Applications, 11 no. 6 (2012) pp. 14. | ||
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