If all the weights of the graph are positive, then the minimum spanning tree of the graph is a minimum cost subgraphII.  A subgraph is a graph formed from a subset of the vertices and edges of the original graph. And the subset of vertices includes all endpoints of the subset of the edges.

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

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.

Consider a complete undirected graph with vertex set {0, 1, 2, 3, 4}. Entry Wij in the matrix W below is the weight of the edge {i, j}. What is the minimum possible weight of a spanning tree T in this graph such that vertex 0 is a leaf node in the tree T?Marks : 1Negative Marks : 0Answer here810710

The Cost of Spanning Tree can be determined as a.By the sum of costs of the edges of the graphb. By the sum of the costs of the vertices of the treec.By the sum of the costs of the edges and vertices of the treed.By the sum of costs of the edges of the tree

Which algorithm is commonly used to find the minimum spanning tree of a weighted graph?ADijkstra's AlgorithmBKruskal's AlgorithmCBellman-Ford AlgorithmDFloyd-Warshall Algorithm