Bipolar Fuzzy Trees

Connectivity has an important role in different disciplines of computer science including computer network. In the design of a network, it is important to analyze connections by the levels. The structural properties of bipolar fuzzy graphs provides a tool that allows for the solution of operations research problems. In this paper, we introduce various types of bipolar fuzzy bridges, bipolar fuzzy cut-vertices, bipolar fuzzy cycles and bipolar fuzzy trees in bipolar fuzzy graphs, and investigate some of their properties. Most of these various types are defined in terms of levels. We also describe comparison of these types.