What is a crucial requirement for Dijkstra’s algorithm (for finding shortest path) to work correctly?Select one:a. All edge weights in the graph must be equal.b. The graph must be fully connected.c. The graph must be a tree.d. The graph must not contain any negative edge weights.

What does Dijkstra's algorithm guarantee when it is applied to a graph?Select one:a. It finds all possible paths from one vertex to another in the shortest time.b. It calculates the maximum capacity of flow from source to sink in a network.c. It finds the shortest path from a single source to all other vertices in a graph with non-negative weights.d. It identifies whether a graph is bipartite or not

Suppose I have a huge graph with nodes (A~Z) whose edges have non-negative weights. Using Dijkstra's algorithm, we came up with the shortest path tree starting from node A. With this tree, we found out the shortest path from node A to node Z, which looks like A -> C -> E -> G -> J -> L -> Z. Now, I want to find out the shortest path from node E to Z. I can find out this without running Dijkstra's algorithm from node E. True or False?

How does Dijkstra's algorithm find the shortest path in a graph?A) By brute force checking all possible pathsB) By maintaining a priority queue of nodes and their tentative distances from the start nodeC) By calculating the average distance between nodesD) By finding the maximum flow in a graph

Dijkstra's algorithm will always return the correct answer (relaxing each edge at most once) for any shortest-path queries on the following types of graphs (select all that apply):Unweighted TreesWeighted Graphs (connected, non-negative edge weights)Weighted Graphs (connected)Weighted Graphs with no negative weight cycles (connected)Continue

Suppose I have a graph whose edges have non-negative weights, and I want to find the longest path from a starting node s to an ending node v. I can negate the weights of the graph and run Dijkstra's algorithm. True or False?