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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.

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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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Which algorithm is used to find the minimum spanning tree in a graph?A) Bellman-FordB) Kruskal'sC) Prim'sD) Dijkstra's

Consider a graph G=(V, E), where V = { v1,v2,…,v100 }, E={ (vi, vj) ∣ 1≤ i < j ≤ 100} and the weight of the edge (vi, vj) is ∣i–j∣. The weight of the minimum spanning tree of G is ________.Marks : 1Negative Marks : 0Answer here1009899101

The minimal spanning tree problem is to connect all nodes in a network so that the total branch lengths are minimized.Group of answer choicesTrueFalse

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