Suppose I have a directed graph whose edges have all positive weights.  My graph is not a tree.  I want to find the longest path from a starting node s to an ending node v. I can modify Bellman-Ford to solve this problem. True or False?

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?

The critical pathIs a path that operates from the starting node to the end nodeIs a mixture of all paths.Is the longest pathIs the shortest path

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?

Describe, in plain English, an algorithm that given a weighted, directed, acyclic graph G=(V,E,w) (with integer weights) and a vertex s in V calculates the length of the longest path from s to every other vertex v (if a vertex is unreachable from s, then the length of the longest path for that vertex should be infinity). Your algorithm should run in O( |V| + |E| ) time in total, assuming that G is implemented with an adjacency list, as usual. Explain why your algorithm has this running time.[Hint: you might want to consider a new graph G', more or less similar to G, and reduce the problem for G to a problem for G' that we have solved in the lectures]

Which algorithm is used to find the shortest path between nodes in a weighted graph with non-negative weights?Bellman-Ford algorithmDijkstra's algorithmKruskal's algorithmFloyd-Warshall algorithm