A queue is a data structure that has two main operations: enqueue and dequeue. Enqueue inserts...

  

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A queue is a data structure that has two main operations: enqueue and dequeue. Enqueue inserts and element at the back of the queue, dequeue returns the element at the front of the queue (so the element that was inserted earliest) and removes it from the queue. (a) An algorithm to discover a graph from a vertex u using Breadth First Search using a queue is given below. Data: G = (V, E): a graph, v € V: a vertex Create queue Q: Q.enqueue (v); Mark v; while Q # ) do U= = Q.dequeue(); for e= (u, w) E E do if w is not marked then Mark w; Q.enqueue(w); end end end Use this algorithm to perform a Breadth First Search from vertex a in the graph above. Show all intermediate steps, including the state of Q in the different steps. (4 points) (b) Adapt the algorithm in such a way that it computes the number of edges on the shortest path from v to w for all w E V. Give pseudo-code for this algorithm. (6 points) A queue is a data structure that has two main operations: enqueue and dequeue. Enqueue inserts and element at the back of the queue, dequeue returns the element at the front of the queue (so the element that was inserted earliest) and removes it from the queue. (a) An algorithm to discover a graph from a vertex u using Breadth First Search using a queue is given below. Data: G = (V, E): a graph, v € V: a vertex Create queue Q: Q.enqueue (v); Mark v; while Q # ) do U= = Q.dequeue(); for e= (u, w) E E do if w is not marked then Mark w; Q.enqueue(w); end end end Use this algorithm to perform a Breadth First Search from vertex a in the graph above. Show all intermediate steps, including the state of Q in the different steps. (4 points) (b) Adapt the algorithm in such a way that it computes the number of edges on the shortest path from v to w for all w E V. Give pseudo-code for this algorithm. (6 points)

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To address part a of your question we will use the provided algorithm to perform a BreadthFirst Search BFS from vertex a in the given graph The interm... View the full answer