<b>A Note On Applications of Cycles and Trees</b> Graph theory ia a branch of mathematics which deals with networks of points connected by lines called edges. The subject of graph theory had its beginnings in recreational math problems, but it has grown into a significant area of mathematical research with applications in chemistry, operations research, social sciences, and computer science. In this paper, we studied applications of path and circuits to the real world, so that author can understand the usefulness and importance of these things. Purpose of this paper is to provide an brief overview of applications area of cycles and trees. Path, Eulerian circuit, Hamiltonian cycle, network topology 798-801 Issue-4 Volume-2 Chandrajeet Singh Yadav