Which of the following is a property of minimum spanning trees?A. They contain the maximum number of edges.B. They are always cyclic.C. They have the minimum total weight among all spanning trees.D. They contain all vertices of the graph.

Every graph has only one minimum spanning tree. State true or false.a)Falseb)True

Consider a undirected graph G with vertices { A, B, C, D, E}. In graph G, every edge has distinct weight. Edge CD is edge with minimum weight and edge AB is edge with maximum weight. Then, which of the following is false?ans.Every minimum spanning tree of G must contain CDG has a unique minimum spanning treeIf AB is in a minimum spanning tree, then its removal must disconnect GNo minimum spanning tree contains AB Previous Marked for Review Next

Which of the following is falsea. None of Themb. The spanning trees do not have cyclesc. Removing one edge from Spanning tree will not make the graph disconnected. d. Minimum Spanning Tree have n-1 edges if the Graph has n edges

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.

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.