Title of article
Bridge domination in fuzzy graphs
Author/Authors
Shanmugam ، Sivasankar Department of Mathematics - R V Institute of Technology and Management , Aishwarya ، Thirumal Perumal Department of Electronics and Communication Engineering - R V institute of Technology and Management , Shreya ، Nagesh Department of Electronics and Communication Engineering - R V institute of Technology and Management
From page
148
To page
154
Abstract
In communication networks, strong connectivity between nodes is 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 in fuzzy graphs is introduced. A few prominent properties of bridge domination numbers are chosen and analyzed using relevant examples. The bridge domination number of fuzzy trees, constant fuzzy cycles, and complete fuzzy and bipartite fuzzy graphs are identified. The use of bridge domination in a partial mesh topology to ensure network continuity is demonstrated in the event of a node failure.
Keywords
Fuzzy graph , domination set , Domination number , connected bridge domination , Mesh Topology
Journal title
Journal of Fuzzy Extension and Applications
Journal title
Journal of Fuzzy Extension and Applications
Record number
2760110
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