Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902785 | AKCE International Journal of Graphs and Combinatorics | 2017 | 9 Pages |
Abstract
Let R be a commutative ring and I be a non-zero ideal of R. Let RâI be the subring of RÃR consisting of the elements (r,r+i) for râR and iâI. In this paper we characterize all isomorphism classes of finite commutative rings R with identity and ideal I such that Î(RâI) is planar. We determine the number of vertices of Î(RâI), a necessary and sufficient condition for the graph Î(RâI) to be outerplanar and the domination number of Î(RâI).
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
A. Mallika, R. Kala,