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Bipolar objects are widespread in nature, and its two attributes describe the opposition and unity of the things. Inspired by characterizing fuzzy topological structures in terms of fuzzy graph, we propose bipolar fuzzy topological graph to measure the features of bipolar fuzzy system. The topological characteristics in bipolar neutrosophic and bipolar interval-valued fuzzy settings are discussed as well. Several instances are manifested to clarify new definitions and conclusions. Furethrmore, the properties of edge calculating and graph isomorphic are determined.