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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).
How does the choice of multiplier, modulus, and hashMapSize affect the number of collisions seen and the number of hops the probe needs to make and why are these factors important for implementations which will be used by real world applications?
A huge, well regarded supplier of key raw materials to your corporation's production process requires a year-end summary report of totals purchased from it.
Create the algorithm which will prompt for and accept current salary for each of faculty members, then compute and show their individual pay increases.
Discuss how a database management system and data mining can help motor vehicle maintenance center improve its services, and what tables would be required in such a database.
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.
Create an AVL tree using the following data entered as a sequential set. Show the balance factors in the resulting tree:
IONA Corporation has the following class C Internet License: 193.1.1.0. IONA Corp. would like to allow for exactly 32 sub-networks using subnetting. (193.45.1.0 -> 11110001.00000001.00000001.00000000). How should Iona Corp. divide up the bits in..
Problem: Navigation over a terrain can be an important concept. Usually you want to avoid high areas (peaks) and low areas (valleys) -
Explain how you were able to narrow down the number of article hits you had initially, and present within your post a summary of the credible article you chose as your resource. How do you know your article choice is credible? Which database do yo..
Find the corresponding RPN notation and write the program using PUSH, POP, ADD, MUL, SUB, and DIV stack instructions.
Draw the graphic for the healthy set, representing the values, healthy and unhealthy and what is the degree of membership to the fuzzy set healthy of person B who has a BMI of 26.2? And to the fuzzy set unhealthy?
Write a pseudocode/function that will delete from an unsorted linked list of integers the node that contains the smaller integer. Can you do this with a single traversal of the list.
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