Description: A rooted tree is a fundamental data structure in graph theory, where a specific node is designated as the root. This node acts as the starting point for exploring and organizing other nodes, which connect to it through edges. In a tree, each node can have zero or more child nodes but only one parent node, establishing a clear hierarchy. This structure is acyclic, meaning it contains no cycles, and is connected, implying that there is a path between any pair of nodes. Trees are used to represent hierarchical relationships, such as in various applications where entities are organized in a structured manner. Additionally, trees are efficient for performing searches, insertions, and deletions, making them a popular choice for implementing data structures like binary search trees. The property that each node has a unique path to the root facilitates data navigation and manipulation, which is essential in search algorithms and data representation in various computing applications.
