How is the graph data structure different from the tree data structure?
Understand the Problem
The question is comparing two data structures: graphs and trees. It is specifically asking about their differences, including properties related to cycles, hierarchy, root nodes, and classification. The goal is to identify the correct statement that highlights how graphs and trees differ.
Answer
Graphs allow multiple paths and cycles; trees allow only one path and no cycles.
Graphs are non-linear structures that can have multiple paths between vertices and possibly cycles, while trees are a subset of graphs with a hierarchical structure that allow only one path between any two vertices and do not contain cycles.
Answer for screen readers
Graphs are non-linear structures that can have multiple paths between vertices and possibly cycles, while trees are a subset of graphs with a hierarchical structure that allow only one path between any two vertices and do not contain cycles.
More Information
Trees are used in scenarios where a hierarchical model is required while graphs are more suitable for network modeling.
Tips
It is important not to confuse the presence of directed edges in trees as representing multiple paths between two nodes. Trees always maintain a single path between nodes despite the directed nature.
Sources
- Difference Between Graph and Tree - GeeksforGeeks - geeksforgeeks.org
- Difference between graph and tree - BYJU'S - byjus.com
- Tree vs Graph Data Structure | What's the difference? - Javatpoint - javatpoint.com
