PROJECT TITLE :

Fuzzy Planar Graphs

ABSTRACT:

Fuzzy planar graph is a very important subclass of fuzzy graph. During this paper, two varieties of edges are mentioned for fuzzy graphs: effective edges and considerable edges. Similarly, a comparative study between Kuratowski's graphs and fuzzy planar graph is created. A replacement concept of a strong fuzzy planar graph is introduced. Some related results are established. These results have certain applications in subway tunnels, routes, oil/gas pipelines illustration, etc. It is additionally shown that an image can be represented by a fuzzy planar graph, and contraction of such a picture will be created with the assistance of a fuzzy planar graph.