What is a minimum spanning tree in graph theory?
Q: What is a minimum spanning tree in graph theory?
A: A minimum spanning tree is a tree that minimizes the total weights attached to the edges in graph theory.
Q: What is a tree in graph theory?
A: A tree is a way of connecting all the vertices together in graph theory, so that there is only one path from any one vertex to any other vertex of the tree.
Q: What is the purpose of selecting roads in a graph theory scenario that represents cities?
A: The purpose of selecting roads in a graph theory scenario that represents cities is to enable each city to be reached from every other city, but with no more than one possible way to travel from one city to another.
Q: Can a graph have more than one spanning tree?
A: Yes, a graph can have more than one spanning tree.
Q: What is the difference between a minimum spanning tree and other trees in graph theory?
A: A minimum spanning tree minimizes the total weights attached to the edges, while other trees do not have this feature.
Q: What are edges in graph theory?
A: Edges are the connections between two vertices in graph theory.
Q: Can there be more than one minimum spanning tree in a graph with different weighted edges?
A: Yes, depending on what the graph looks like, there may be more than one minimum spanning tree.
