Balanced k-Partitioned Fuzzy Graph

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.