کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9514621 | 1632608 | 2005 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Intersection graphs of ideals of rings
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Intersection graphs of ideals of rings Intersection graphs of ideals of rings](/preview/png/9514621.png)
چکیده انگلیسی
In this paper we consider the intersection graph G(R) of nontrivial left ideals of a ring R. We characterize the rings R for which the graph G(R) is disconnected and obtain several necessary and sufficient conditions on a ring R such that G(R) is complete. For a commutative ring R with identity we show that G(R) is complete if and only if G(R[x]) is also so. In particular, we determine the values of n for which G(Zn) is connected, complete, bipartite, planar or has a cycle. Next we characterize finite graphs which are the intersection graphs of Zn and determine the set of all non-isomorphic graphs of Zn for a given number of vertices. We also determine the values of n for which the graph of Zn is Eulerian and Hamiltonian.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Discrete Mathematics - Volume 23, 15 November 2005, Pages 23-32
Journal: Electronic Notes in Discrete Mathematics - Volume 23, 15 November 2005, Pages 23-32
نویسندگان
Ivy Chakrabarty, Shamik Ghosh, T.K. Mukherjee, M.K. Sen,