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Fuzzy Graph Structures and Its Properties

Affiliations

  • Bharathiyar University, Coimbatore - 641046, Tamil Nadu, India
  • Bharathi women’s College (Auotomous), Chennai - 600108, Tamil Nadu, India

Abstract


Objectives: To find the vertex cohesive number and edge cohesive number of Gear and Bistarfuzzy graph structure. Methods/ Statistical Analysis: Gear graph and Bistar graph is converted into a fuzzy graph by assigning membership function for vertices and edges. The edges with same membership function are grouped to get a gear and Bistar fuzzy graph structure. For this Gear and Bistar fuzzy graph structure, vertex and edge cohesive number are computed. Findings: The vertex and edge cohesive number of Gear and Bistar fuzzy graph structure are found. Application: In any organisation, the employees can be treated as vertices. Keeping in mind how one employee co-ordinates with other employee, one can study how employees can work in groups.

Keywords

Bistar Graph, Gear Graph, Graph Structures, Hamacheer Product, Vertex and Edge Cohesive Numbers.

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References


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