Selection of an Optimal Warehouses Using Global Regular Domination in Graphs

R. Sundareswaran, M. Shanmugapriya, Ammar Alsinai, N. Venkataraman, V. Swaminathan and Hanan Ahmed

International Journal of Mathematics and Mathematical Sciences, 2025, vol. 2025, 1-8

Abstract: Let G = (V, E) be a simple graph. A subset S of V (G) is said to be global dominating set if S is a dominating set of the given graph G and its complement G. A subset whose induced subgraph is regular in G is also regular in G. A dominating set D of V (G) is called a regular dominating set if hSi is regular. In this article, we introduce global regular domination which is a natural extension of the global domination.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:2174609

DOI: 10.1155/ijmm/2174609

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