Indian Journal of Science and Technology
Year: 2016, Volume: 9, Issue: 43, Pages: 1-7
Purnima Harinath1 * and S. Lavanya2
*Author for correspondence
Bharathiyar University, Coimbatore - 641046, Tamil Nadu, India; [email protected]
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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