Document Type : Review Paper
Author
RV Institute of Technology and Management, Bangalore.
Abstract
In communication networks, strong connectivity between nodes are critical. The failure of strong connectivity between nodes may jeopardize the network’s stability. In fuzzy graphs, various dominating sets using strong edges are identified to avoid network stability. In this paper, the concept of bridge domination set and bridge domination number γ_B (G) in fuzzy graphs is introduced. A few prominent properties of bridge domination numbers are chosen and analysed using relevant examples. The bridge domination number of fuzzy trees, constant fuzzy cycles, complete fuzzy and bipartite fuzzy graphs are identified. The use of bridge domination in a partial mesh topology to ensure network continuity in the event of a node failure is demonstrated.
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