Journal ArticleDOI
On automorphisms of fuzzy graphs
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It is shown that every fuzzy group can be imbedded in a fuzzy group of the group of automorphisms of some fuzzy graph.About:
This article is published in Pattern Recognition Letters.The article was published on 1989-04-01. It has received 141 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
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Journal ArticleDOI
Bipolar fuzzy graphs
TL;DR: The notion of bipolar fuzzy graphs is introduced, various methods of their construction are described, the concept of isomorphisms of these graphs are discussed, and some of their important properties are investigated.
Journal ArticleDOI
Operations on fuzzy graphs
John N. Mordeson,Chang-Shyh Peng +1 more
TL;DR: If the graph G is formed from G1 and G2 by one of the operations of Cartesian product, composition, union, and join, then necessary and sufficient conditions for an arbitrary fuzzy subgraph of G also to be formed by the same operation from fuzzy sub graphs of G2.
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Types of arcs in a fuzzy graph
Sunil Mathew,M. S. Sunitha +1 more
TL;DR: The relation between strong paths and strongest paths in a fuzzy graph is analyzed and characterizations for fuzzy bridges, fuzzy trees and fuzzy cycles are obtained using the concept of @a-strong, @b-strong and @d-arcs.
Journal ArticleDOI
Domination in fuzzy graphs - I
A. Somasundaram,S. Somasundaram +1 more
TL;DR: The domination numberγ and the total domination number γt for several classes of fuzzy graphs are determined and bounds for the same are obtained and Nordhaus–Gaddum type results are obtained.
Journal ArticleDOI
Strong Intuitionistic Fuzzy Graphs
Muhammad Akram,Bijan Davvaz +1 more
TL;DR: The notion of strong intuitionistic fuzzy graphs is introduced and some of their properties are investigated and some propositions of self complementary and self weak complementary strong intuitionists fuzzy graphs are discussed.
References
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Journal ArticleDOI
Some remarks on fuzzy graphs
TL;DR: It is shown that a fuzzy group can be associated with a fuzzy graph in a natural way and some properties of fuzzy graphs are considered and the notions of eccentricity and center are introduced.