Constructing a minimum spanning tree for a graph G is to start with one connected component, add a vertex to have one connected component and no cycles, and end up with one connected componentQuestion 1Select one:a.Greedy Methodb.BFSc.Kruskals Algorithmd.Prims’s Algorithme.DFS

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

A greedy algorithm for the minimum spanning tree problem is to start with any vertex and then repeatedly add the edge with the smallest weight that does not create a cycle. Which of the following is NOT true about this algorithm?OptionsIt always produces a minimum spanning tree.It may not produce the minimum spanning tree if the graph contains cycles.It may not produce the minimum spanning tree if the graph contains negative weights.It is always efficient.

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

Consider a graph G = (V, E), where V = {v1, v2, ..., v10}, E={(vi, vj) ∣ 1≤ i ≤ j≤ 10) and weight of each edge (vi , vj) is ∣i – j∣. Find the minimum spanning tree of G and its weight.

Prim’s Algorithm for finding the Minimum Spanning Tree of a graph is a kind of a