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?
A. Every minimum spanning tree of G must contain CD
B. If AB is in a minimum spanning tree, then its removal must disconnect G
C. No minimum spanning tree contains AB
D. G has a unique minimum spanning tree
Answer: Option C
This Question Belongs to Data Structure >> Graph Algorithms (DFS, BFS, Dijkstras, Etc)
A. Breadth-First Search (BFS)
B. Depth-First Search (DFS)
C. Bellman-Ford Algorithm
D. Dijkstra's Algorithm
What is the time complexity of Breadth-First Search (BFS) on a graph with V vertices and E edges?
A. O(V + E)
B. O(V2)
C. O(E log V)
D. O(V log V)
In Depth-First Search (DFS), what is the order of visiting nodes?
A. Level order
B. Inorder
C. Postorder
D. Preorder
Which algorithm can be used to detect negative weight cycles in a graph?
A. Dijkstra's Algorithm
B. Prim's Algorithm
C. Bellman-Ford Algorithm
D. Kruskal's Algorithm
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