Upper whole domination in a graph. (2nd January 2022)

• Record Type: Journal Article
• Authors: Ibrahim, Thaer A.; Omran, Ahmed A.
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 25:Number 1(2022)
• Page Start: 73
• Page End: 81
• Publication Date: 2022-01-02
• Subjects: 05C69; Whole dominating set -- Upper whole domination number and inverse upper whole domination number; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2021.1939954
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: The new parameters of domination in graphs are being initiated that are the upper whole domination and its inverse. Many properties and theorems about the upper whole dominations number have been discussed. Also, it is determined to certain graphs as a cycle, complete, path, wheel, and complete bipartite with some properties. Finally, most properties of inverse upper domination number have been studied. Furthermore, determined this definition of certain graphs are been mentioned above.