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Sanghita Dutta
North-Eastern Hill University Shillong-22, Meghalaya, India
Mathematics

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Some Properties of Von Neumann Regular Graphs of Rings Diamond Kharkongor; Laithun Boro; Madan Mohan Singh; Sanghita Dutta
Journal of the Indonesian Mathematical Society VOLUME 28 NUMBER 2 (JULY 2022)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.28.2.1112.185-193

Abstract

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.
Co-Authors Diamond Kharkongor Laithun Boro Madan Mohan Singh