A tree is a connected graph that contains no cycles. It is one of the most important structures in Data Structures and Algorithms because it provides an efficient way to represent hierarchical relationships. A bipartite graph is a graph whose set of vertices can be divided into two disjoint sets such that every edge connects a vertex from one set to the other. There are no edges between vertices belonging to the same set. To show that every tree is a bipartite graph, it is necessary to prove that such a partition always exists for any tree. One of the simplest ways to prove this property is by using the concept of levels in a tree. Select any vertex of the tree as the root. Starting from the root, assign level 0 to it. All vertices directly connected to the root are assigned level 1. Their children are assigned level 2, and the process continues until every vertex has been assigned a level. Now divide the vertices into two sets. The first set contains all vertices at even-numbered levels such as 0, 2, 4, and so on. The second set contains all vertices at odd-numbered levels such as 1, 3, 5, and so on. Since every edge in a tree connects a parent to its