Question: Imagine that you are trying to construct a minimum spanning tree for a large network, such as is defined by a popular social networking website.

Imagine that you are trying to construct a minimum spanning tree for a large network, such as is defined by a popular social networking website. Based on using Kruskal’s algorithm, the bottleneck is the maintenance of a union-find data structure. Describe how to use a B-tree to implement a union-find data structure (from Section 7.1) so that union and find operations each use at most O(log n/ log B) disk transfers each.

Step by Step Solution

★★★★★

3.50 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

A Btree can be used to implement a unionfind data structure in order to reduce the time complexity o... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Data Structures Algorithms Questions!

a. Find a minimum spanning tree for the graph in Figure 9.84 using both Prim's and Kruskal's algorithms. b. Is this minimum spanning tree unique? Why?

Imagine that you are a policymaker trying to decide whether to reduce the rate of inflation. To make an intelligent decision, what would you need to know about inflation, unemployment, and the...

Suppose that a graph G has a minimum spanning tree already computed. How quickly can the minimum spanning tree be updated if a new vertex and incident edges are added to G?

do the following,..... Write program that reads a person's first and last names, separated by a space. Then the program outputs last name, comma, first name. Create program that takes in user input...

Many problems in information system design can be solved with the aid of network models and network analysis techniques used in management science. In this lecture, we discuss two popular network...

please help A federal agency which aims at preventing persons or corporations from using unfair methods of competition in commerce is A.the Federal Trade Commission (FTC) B.the Food and Drug...

Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...

Predictive text entry systems are familiar on touch screens and mobile phones. This question asks you to consider how the same principles might be used in a programming editor for creating Java code....

ret Electricity consumers are supplied with electricity from an electricity generating station. Electricity is distributed from the station to the various consumers through a network of transformers...

BBUS 4701: Business Policy and Strategy Yahoo 2012 Annual Report Assignment 4 By Yahoo! Yahoo!. (2012). Yahoo 2012 Annual Report. Retrieved from: http://investor.yahoo.net/annuals.cfm 2 01 2 A N N UA...

Sammy's Pizza opened on January 1, 2018. Sammy's reported the following for cash revenues and cash expenses for the years 2018 to 2020: Required: a. What would Sammy's Pizza report for net income and...

Rani is an Australian resident for tax purposes she has an assessable income of $50000. she has a deduction of $10000 and franking credit tax offsets of $300 what is rani tax payable for the 2018-19...

Jerry is age 6 6 and married to Jonnie, age 5 0 . Jerry is planning to retire next year but is concerned about making sure Jonnie s retirement will be protected since Jerry has always been the...

LO 3.5 24. Anthony, a self-employed plumber, makes a maximum contribution to his SEP. His net earned income is $40,000. How much is he allowed to contribute to the plan? $ ____________

In given list of ve and +ve numbers, write a program to separate ve numbers from the +ve numbers. //Sorts a given list by selection sort //Input: An array A[0..n-1] of orderable elements. //Output:...

In given list of n elements, we need to find the first repeated element. Which of the following methods will work for us. If a method works, then implement it. Brute force exhaustive search. Use...

Given an array contain 0s and 1s, sort the array such that all the 0s come before 1s. //Sorts a given list by selection sort //Input: An array A[0..n-1] of orderable elements. //Output: List...

Investors require an 8% rate of return on Mather Company's stock (i.e., r = 8%). a. What is its value if the previous dividend was Do = $1.00 and investors expect dividends to grow at a constant...

The Florida Division of McKenna Company makes and sells batteries that can either be sold to outside customers or transferred to the Alabama Division of McKenna Company. The following data are...

1, John is a philatelist (stamp collector) who specializes in stamps that depict animals on them. Last month 9 stamps with birds, 6 stamps with mammals, 4 stamps with insects, and 2 stamps with fish...