@article{Kharkongor_Boro_Singh_Dutta_2022, title={Some Properties of Von Neumann Regular Graphs of Rings}, volume={28}, url={http://jims-a.org/index.php/jimsa/article/view/1112}, DOI={10.22342/jims.28.2.1112.185-193}, abstractNote={<p>Let R be a ring with unity. Taloukolaei and Sahebi [2] introduced the Von Neumann regular graph GV nr+(R) of a ring, whose vertex set is R and two distinct vertices x and y are adjacent if and only if x + y is a Von Neumann regular element. In this article, we investigate some new properties of GV nr+(R) such as traversability, pancyclic, unicyclic, chordal and perfect. We also investigate the domination parameters of GV nr+(R) such as dominating set, domination number, total domination number, connected domination number and give the condition when the GV nr+(R) is an excellent graph. Finally we determine the bondage number.</p>}, number={2}, journal={Journal of the Indonesian Mathematical Society}, author={Kharkongor, Diamond and Boro, Laithun and Singh, Madan Mohan and Dutta, Sanghita}, year={2022}, month={Jul.}, pages={185–193} }