Balanced k-Partitioned Fuzzy Graph
Kirupa. A1, Jesintha Roseline. J2, Pathinathan.T3
1Kirupa A, P.G. and Research Department of Mathematics, Loyola College, Chennai, Tamil Nadu, India.
2Jesintha Roseline J*, Assitant Professor, Auxilium College, Gandhi Nagar, Vellore, Tamil Nadu, India.
3Pathinathan T, Associate Professor, P.G. and Research Department of Mathematics, Loyola College, Chennai-34, Tamil Nadu, India.
Manuscript received on November 13, 2019. | Revised Manuscript received on 25 November, 2019. | Manuscript published on December 10, 2019. | PP: 269-275 | Volume-9 Issue-2, December 2019. | Retrieval Number: B6152129219/2019©BEIESP | DOI: 10.35940/ijitee.B6152.129219
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Abstract: In this paper, a balanced k-partitioned fuzzy graph is introduced from the definition of k-partitioned fuzzy graph. In recent days, partitioning graph has widely applied in the field of clustering, circuit design and in all networks. Extending the concept of k partitioned fuzzy graph, we have proposed a new partitioning of a fuzzy graph which is balanced using a density formula for k-partitioned fuzzy graph. Also studied how it differs from completely balanced k-partitioned fuzzy graph. Star density of k-partitioned fuzzy graph is defined and star balanced k-partitioned fuzzy graph is introduced using the definition. With an example, we explain the functioning of the concepts and related theorems are worked in this paper.
Keywords: Fuzzy Graph, Density, Star Density, Balanced k-partitioned Fuzzy Graph, Completely Balanced k- Partitioned Fuzzy Graph, Star Balanced k-partitioned Fuzzy graph.
Scope of the Article: Graph Algorithms and Graph Drawing