Zero-divisor graphs of genus one

By Hsin-Ju Wang. 2006

91 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Genetics

View Paper: https://www.semanticscholar.org/paper/e6492cc21bf7069f5b69565fd3394617bb4b2283

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Cameron Wickham
2. Hsin-Ju Wang
3. H. Maimani
4. Siamak Yassemi
5. Hung-Jen Chiang-Hsieh
6. Neal O. Smith
7. Thangaraj Asir
8. T. Tamizh Chelvam

In Discrete Mathematics and Combinatorics

1. Cameron Wickham

In Genetics

1. Cameron Wickham

Citations in the corpus

• Rings whose total graphs have genus at most one (2010, background): “In [12] and then independently in [7, 13] it is shown that there is no ring of order 32 whose zero-divisor graph is planar.”
• Classification of Rings with Genus One Zero-Divisor Graphs (2008, background): “Genus one zero-divisor graphs were the focus in Wang (2006), and while many of our results on the bounds of orders of such rings are similar, our scope is larger in that we classify all rings whose zero-divisor graph has genus one.”
• Commutative rings with toroidal zero-divisor graphs (2007, background): “† For the representation of the 4-partite graph K1,1,1,4, refer to Figure 5(b) in [20].”