Abstract
In this paper we find the strength of a strong fuzzy wheel graph, strong fuzzy complete bipartite graph, strong fuzzy butterfly graph, strong fuzzy bull graph and also determined the strength of a properly linked fuzzy graph with complete fuzzy graphs as its parts. AMS Subject Classification: 05C72
Highlights
Azriel Rosenfeld [5] defined fuzzy graph based on the definitions of fuzzy sets and fuzzy relations and developed the theory of fuzzy graphs in 1975
Sheeba M.B.[6] introduced the concept of strength of fuzzy graphs
She determined the strength of fuzzy graphs in two different ways
Summary
Zadeh [7] introduced the notion of a fuzzy subset. Azriel Rosenfeld [5] defined fuzzy graph based on the definitions of fuzzy sets and fuzzy relations and developed the theory of fuzzy graphs in 1975. Nair [3] introduced different types of operations on fuzzy graphs. Sheeba M.B.[6] introduced the concept of strength of fuzzy graphs. She determined the strength of fuzzy graphs in two different ways. One by introducing weight matrix of a fuzzy graph and the other by introducing the concept of extra strong path between its vertices. In this paper we use the concept of extra strong path to find the strength of various fuzzy graphs. Throughout this paper only undirected fuzzy graphs are considered. Received: October 19, 2015 Published: February 27, 2016 §Correspondence author c 2016 Academic Publications, Ltd. url: www.acadpubl.eu
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