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Tree is a special type of graph, in which there is exactly one path between every pair of nodes. By removing nodes from a tree, we separate it into many small subtrees. Given a tree T=(V,E) consisting of n nodes and m edges and an integer k<n , find the minimum number of nodes in tree to remove so that the tree is separated into subtrees of sizes at most k. Provide the algorithm, the correctness proof and the time complexity.
Create a second experiment answering the question "Is it possible for processor sharing to have worse performance than FCFS? "
Data structures for a single algorithm
Certain points along the road, so that every house is within four miles of one of the base stations. Give an efficient algorithm that achieves this goal using as few base stations as possible.
Write a C++ class which implements stack by using a dynamically allocated array. Initial size of particular stack must be determined when it is created.
Give a linear-time algorithm to find an odd-length cycle in a directed graph. You may not suppose that graph is strongly connected.
Explain a sorting algorithm which is optimal with respect to this cost model and uses O(n) space. That is, time used by algorithm should exactly match lower bound
Addition and Subtraction of numbers in binary and round to the nearest decimal number with three significant decimal digits
Write a recursive function to determine if a binary tree is a binary search tree.
Select a specific category of vertical applications to investigate. Use the Internet and any other sources of information you might have to study some of the different products that are available in that category.
You should build enough new roads such that if City A was reachable from City B via some old roads, City A must be reachable from City B via some new roads.
Using the FIFO page removal algorithm, do a page trace analysis indicating page faults with asterisks (*). Then compute the failure and success ratios.
Explain the following sorting techniques using appropriate algorithms- (i) selection sort (ii) bubble sort
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