TY - JOUR
AU - Kharkongor, Diamond
AU - Boro, Laithun
AU - Singh, Madan Mohan
AU - Dutta, Sanghita
PY - 2022/07/31
Y2 - 2024/11/10
TI - Some Properties of Von Neumann Regular Graphs of Rings
JF - Journal of the Indonesian Mathematical Society
JA - JIMS
VL - 28
IS - 2
SE - Articles
DO - 10.22342/jims.28.2.1112.185-193
UR - http://jims-a.org/index.php/jimsa/article/view/1112
SP - 185-193
AB - <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>
ER -