Explain the concept of a spanning tree in graph theory and its significance in network design.
- A spanning tree is a subset of edges that connects all vertices in a graph without forming any cycles.
- It ensures there are no disconnected nodes in the network.
- Spanning trees minimize the number of edges in a graph.
- They simplify network design by eliminating redundant connections and ensuring network connectivity with minimal resources.
In graph theory, a spanning tree is vital for network design as it forms the backbone of connectivity without creating loops or redundancies. By spanning all nodes with the least number of edges possible, spanning trees optimize network resources and ensure efficient communication paths.
Loading...
Related Quiz
- The worst-case time complexity of quicksort is ___________.
- Explain the difference between top-down and bottom-up dynamic programming approaches.
- What is the role of middleware in Express.js, a popular framework for Node.js?
- How can you implement a stack using two queues?
- FTP stands for File Transfer ___________.