Question: Given a graph that is a tree (connected and acyclic). (I) Pick any vertex v. (II) Compute the shortest path from v to every other

Given a graph that is a tree (connected and acyclic). (I) Pick any vertex v. (II) Compute the shortest path from v to every other vertex. Let w be the vertex with the largest shortest path distance. (III) Compute the shortest path from w to every other vertex. Let x be the vertex with the largest shortest path distance. Consider the path p from w to x. Which of the following are true a. p is the longest path in the graph b. p is the shortest path in the graph c. p can be calculated in time linear in the number of edges/vertices

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