Fuzzy Systems

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On Regular Strong Fuzzy Graphs


Affiliations
1 Mathematics Department, Selvamm Arts & Science College, Namakkal, India
2 Mathematics Department, K.S.R College of Arts and Science, Tiruchengode, India
     

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In this paper, regular and totally regular strong fuzzy graphs are introduced. Comparing the above graphs through various examples. A necessary and sufficient condition under which they are equivalent is provided. Some properties of regular strong fuzzy graphs are studied with examples.

 


Keywords

Degree of a Vertex, Regular Fuzzy Graph, Regular Strong Fuzzy Graph, Strong Fuzzy Graph, Total Degree of a Vertex and Totally Regular Strong Fuzzy Graph.
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  • On Regular Strong Fuzzy Graphs

Abstract Views: 266  |  PDF Views: 1

Authors

N. Kumaravel
Mathematics Department, Selvamm Arts & Science College, Namakkal, India
M. Ramakrishnan
Mathematics Department, K.S.R College of Arts and Science, Tiruchengode, India

Abstract


In this paper, regular and totally regular strong fuzzy graphs are introduced. Comparing the above graphs through various examples. A necessary and sufficient condition under which they are equivalent is provided. Some properties of regular strong fuzzy graphs are studied with examples.

 


Keywords


Degree of a Vertex, Regular Fuzzy Graph, Regular Strong Fuzzy Graph, Strong Fuzzy Graph, Total Degree of a Vertex and Totally Regular Strong Fuzzy Graph.