Construction of different structures of 4-Regular Planar Graph with odd region and even region

Abstract

In this present work we have discussed the construction of a structure of the 4-regular planar graphs for G(2m+2,4m+4) where m≥2. Based on our proposed structure we have stated one theorem on odd regions of 4-regular planar graphs. The experimental results and proof of the stated theorems have also been provided.