What is a minimum spanning tree (MST) in graph theory?Select one:a. A subtree of a graph that connects all the vertices with the minimum possible total edge weight.b. Any subtree of a graph that includes all of its vertices.c. A subtree that includes the shortest path between every pair of vertices.d. A tree with the minimum number of edges possible.
Question
What is a minimum spanning tree (MST) in graph theory?Select one:a. A subtree of a graph that connects all the vertices with the minimum possible total edge weight.b. Any subtree of a graph that includes all of its vertices.c. A subtree that includes the shortest path between every pair of vertices.d. A tree with the minimum number of edges possible.
Solution
The correct answer is:
a. A subtree of a graph that connects all the vertices with the minimum possible total edge weight.
A minimum spanning tree (MST) in graph theory is a tree formed from the graph edges that connects all the graph vertices with the smallest possible total edge weight. That is, it is a spanning tree whose sum of edge weights is as small as possible.
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