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(Q). Let T = (V,E) be an (undirected) tree whose edge weights are arbitrary positive real numbers. Design an O(n) time algorithm for computing a maximum matching in T, where n = |V|. (You may look at page 1135 of Cormen, Leiserson, Rivest, and Stein for the de?nition of maximum matching on undirected graphs.)
(Q): Let G = (V,E) be a weighted directed graph (which can contain cycles), with n = |V|, m = |E|, and each edge weight being a positive real number. Assume that the graph G has been stored in the computer. We have studied in class a dynamic programming algorithm for computing the length of a k-link shortest path from a vertex s to another vertex t in G in O(k(m + n)) time and O(n) additional space (i.e., the space is in addition to that for storing G). Design an O(n) additional space algorithm for reporting an actual k-link shortest path from a vertex s to another vertex t in G (in addition to the length of such a path), and make your algorithm run as fast as possible (in the big-O notation).
Design an algorithm that asks for the user for the number of fixed-price items to order, adds sales tax and flat-rate shipping, and displays the result.
There is a set of numbers stored in a file, but we don't know how many it contains. Write an algorithm in pseudocode to calculate the average of the numbers stored in this file. What type of operations does your algorithm do? How many of each of ..
How many different undirected graphs are there with V vertices and E edges (and no parallel edges)?
A telephone corporation service plan charges twenty-five cents for each call made. In addition, it charges five cents a minute for all calls made to a phone number that has a service plan with the corporation.
Create a 10-12 slide presentation describing the data types. Include the following in your presentation: Introductory slide AND Slide for each data type
Write a function called halfsum that takes as input an at most two-dimensional matrix A and computes the sum of the elements of A that are in the diagonal or are to the right of it.
Data Information Decision
Provide a polynomial-time algorithm to decide whether G has unique minimum s - t cut (i.e., an s - t cut of capacity strictly less than that of all other s - t cuts).
How much time can elapse in Algorithm 16.3 between a crash and its detection? Prove the eventual perfection of Algorithm 16.4. Is the re lation mep J.t eventually satisfied in every execution?
Assume you are at the airport, waiting for security check. There is one line(which is a FIFO queue), and 5 security check gates. Each person reaching the front of the queue is checked by the first available security gate.
Write a pseudocode for divide-and-conquer algorithm for finding the position of the largest element in an array of n numbers
Insert 5, 1, 3, 6, 2, 4 into an initially empty splay tree and show the resulting tree - Can you provide some help with my Java language project? I hope someone nice out there can help me with it.
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