Affiliations: [a] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India
| [b] Department of Mathematics, Raja N. L. Khan Women’s College, Midnapore, India
| [c] Department of Mathematics, Tamralipta Mahavidyalaya, Tamluk, India
Correspondence:
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Corresponding author. Madhumangal Pal, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore – 721102, India. E-mail: [email protected].
Abstract: In this paper, bipolar fuzzy planar graph is defined and studied several properties. The bipolar fuzzy planar graph is defined in a very interesting way. The parameter “degree of planarity” measures the planarity of a bipolar fuzzy graph. The other relevant terms such as strong edges, bipolar fuzzy faces, strong bipolar fuzzy faces are defined here. A very close association of bipolar fuzzy planar graph is bipolar fuzzy dual graph. This is also defined and several properties of it are studied. Bipolar fuzzy planar graph and bipolar fuzzy dual graph have many applications in different fields including design of social network, design of subway tunnel or routes, gas or oil pipelines, image segmentation, etc.
