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?

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.G has a unique minimum spanning treeIf AB is in a minimum spanning tree, then its removal must disconnect GNo minimum spanning tree contains ABEvery minimum spanning tree of G must contain CD

Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?Marks : 1Negative Marks : 0Answer hereEvery minimum spanning tree of G must contain eminG has a unique minimum-spanning treeNo minimum spanning tree contains emaxIf emax is in a minimum spanning tree, then its removal must disconnect GClearPrevNext

I. 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. ans.I is true and II is falseI is false and II is trueBoth I and II are falseBoth I and II are true Previous Marked for Review Next

Let G be a complete undirected graph on 4 vertices, having 6 edges with weights being 3, 4, 5, 6, 7and 8. The maximum possible total weight that a minimum weight spanning tree of G can have is __.

In a weighted graph, what does the "weight" of an edge typically represent?Group of answer choicesThe color of the edgeThe number of vertices in the graphThe degree of a vertexThe distance between two vertices