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

The minimal spanning tree problem determines the:Group of answer choicesminimum total branch lengths connecting all nodes in the network.maximum amount that can be transported along any one path.minimum amount that should be transported along any one path.shortest distance between a source node and a destination node.

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.

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 network model is used to identify the shortest branch from the origin node to each node in a network?Group of answer choicesshortest routetransshipmentminimal spanning treemixed integermaximal flow

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.