3. Traverse the following graph using the BFS and DFS algorithm. 1 2 6 5 4 3
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- Analyze the following graph and show the steps followed using: a) Depth First Search (DFS) algorithm b) Breadth First Search (BFS) algorithmQUESTION ONE (20 MARKS)1.1 Consider the state space graph shown below. P is the start state and V is the goal state. The costs for each edge are shown on the graph. Each edge can be traversed in both directions.1.1.1 Use Breadth-First Search to generate the shortest path from P to V. (10)1.1.2 Apply the Depth First Search method to find a path from P to V. (10)QUESTION TWO (20 MARKS)2.1 Compute the truth table for the following expressions and their subexpressions.2.1.1 (p → q) ≡ (NOT p OR q) (5)2.1.2 p → (q → (r OR NOT p)) (5)2.1.3 (p OR q) → (p AND q) (5)2.1.4 (p AND q) → (p OR r) (5)QUESTION THREE (10 MARKS)3.1 The binary exclusive-or function, ⊕, is defined to have value TRUE if and only if exactly one of its arguments are TRUE.3.3.1 Draw the truth table for ⊕. (5)3.3.2 Is ⊕ commutative? Is it associative? (5)PQRSTVUQUESTION FOUR (20 MARKS)4.1 Translate the following sentences into a Prolog program (10)Everyone who teaches programming module is smart.Craig teaches the programming…(3) Using the following graph, draw the Minimum Spanning Tree, and by using Dijkstra’s Algorithm give the shortest path from A to F (do not confuse F with E). You may either draw the shortest path, or write out the steps needed to follow the route you find.
- y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) Using any computer program, construct the wave dependency graph resultant y (t) from time t in the case when the frequencies of the two sound waves are many next to each other if the values are given: A = 1 m, f1 = 1000 Hz and f2 = 1050 Hz. Comment on the results from the graph and determine the value of the time when the waves are with the same phase and assemble constructively and the time when they are with phase of opposite and interfere destructively.Consider the following graph G Perform BFS on G starting from node A, write down the sequence of exploration. each step must visit the neighboring nodes in their alphabetical order. Perform DFS on G starting from node A, write down the sequence of exploration. each step must visit the neighboring nodes in their alphabetical order.Please answer it correctly! Consider the following graph. a: b, e, f, h b: a, c, d, g c: b, d d: b, c e: a, f, g f: a, e, g g: b, e, f h: a Give the order in which the nodes are visited, starting at node a. The first line should give the order for a breadth-first search. The second line should give the order for a depth-first search.
- Draw a precedence graph which execution schedule is conflict-serializable. Graph must contain 5 transactions (i.e. 5 vertices) and at least 7 edges.Need a visual representation of the BFS(G2,A) and DFS(G2,A) and DFS(G2,G) conducted for the directed G2 graph shown in the screenshot below5.03-4. Dijkstra's Algorithm (3, part 4). Consider the network shown below, and Dijkstra’s link-state algorithm. Here, we are interested in computing the least cost path from node E to all other nodes using Dijkstra's algorithm. Using the algorithm statement used in the textbook and its visual representation, complete the "Step 3" row in the table below showing the link state algorithm’s execution by matching the table entries (i), (ii), (iii), (iv) and (v) with their values.
- Here is a graph between two different campuses comprised of several location Traverse the graph using Breadth first search9) Given the following graph and the source node F (the 1st node to be discovered), which of the following could be the 3rd node to be discovered during a DFS? A. A B. E C. B D. J E. AllAnswer these questions please 1)Which of the following is not an application of Breadth First Search? Select one: a. Finding connected components of a graph b. Path Finding c. Finding shortest path between two nodes d. GPS navigation system 2)Both Depth First Search (DFS) and Breadth First Search can be used for topological sort. Select one: a. True b. False