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1. Analyze the following properties of BFS and DFS for an Acyclic Tree without making any assumptions.
a.) Optimalityb.) Completenessc.) Space Complexityd.) Time Complexity
Propose an algorithm which is a hybrid of both BFS and DFS and ensures better characteristics compared to both BFS and DFS.
2. Modify Prim's or Kruskal's algorithm to find a diameter bounded minimum spanning tree of a complete graph. A diameter bounded minimum spanning tree is a spanning tree having least cost and diameter not greater than a bound .
3. Compare and contrast among Dijkstra's Algorithm, Ford Algorithm and WFI Algorithm to find shortest path.
Data Structures and Algorithm Design
The Viterbi algorithm is a deterministic algorithm for solving the Decoding problem. Design a randomized algorithm for solving the Decoding problem.
For inputs of size n, insertion sort runs in 8n 2 steps, where as merge sort runs in 64* nlog base 2 n steps. For which values of n odes insertion sort beat merge sort?
Consider adaptive playout delay algorithm. Demonstrate through simple example which adjusting playout delay at beginning of each talk spurt results in compressing
Our goal is to plan this trip so that we minimize the maximum amount of walking done in a single day. Your algorithm should be based on dynamic programming and run efficiently.
Suppose that all element values are equal. What would be randomized quick sort's running time in this case? Each element of A[p .. q-1] is less than A[q], and each element of A[t+1 .. r] is greater than A[q]
Provide a recurrence for worst case running time of recursive Binary Search function in terms of n, the size of the search array. Solve the recurrence.
In which view can you see header and footer areas of worksheet?
Divide 16 digit value N by six digit integer D obtaining quotient Q and remainder (or sign of the remainder) R by division algorithms.
Draw an algorithm to produce a list of customers from the Glad Rags Clothing Company's customer master file.
Pseudocode algorithm you would write for a simple task. What do you think is the most difficult part of creating the algorithm? What can you do to make this process easier?
Design a divide-and-conquer algorithm for the Motif Finding problem and estimate its running time. Have you improved the running time of the exhaustive search algorithm?
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