What is a minimum spanning tree?
An example of an AI chatbot conversation about minimum spanning trees in graph theory.
What is a minimum spanning tree?
A minimum spanning tree (MST) is a subset of edges in a connected, weighted graph that connects all vertices with the minimum total edge weight.
Can you explain how to find a minimum spanning tree?
Sure! Common algorithms to find an MST include Prim's algorithm and Kruskal's algorithm. Would you like details on one of them?
Yes, please explain Prim's algorithm.
Prim's algorithm starts with a single vertex and grows the MST by adding the smallest edge from the tree to a vertex not yet in the tree.
What are some applications of minimum spanning trees?
MSTs are used in network design, clustering, and optimizing routes in transportation and telecommunications.
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