Abstract
Based on complete bipolar anti fuzzy graphs and on strong bipolar anti fuzzy graphs we can define a new graph through union, join, Cartesian product, and composition of such two graphs. We call the new graph as a product of graphs. In this article we investigate properties of product of bipolar anti fuzzy graphs and product of strong bipolar anti fuzzy graphs. We also construct the degree of a vertex in such the product, namely, the degree of a vertex in the graph which are obtained from product of two given bipolar anti fuzzy graph.
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