Question: C-7.2: Consider a method, remove(e), which removes e from whichever list it belongs to, in a list-based implementation of a union-find structure. Describe how to

C-7.2: Consider a method, remove(e), which removes e from whichever list it belongs to, in a list-based implementation of a union-find structure. Describe how to modify the list-based implementation so that this method runs in time O(1).

Additionally, show that a sequence of m union, find, and remove starting from n singleton sets takes O(n(log n + m)) time.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

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 Databases Questions!

Consider a method, remove(e), which removes e from whichever list it belongs to, in a list-based implementation of a union-find structure. Describe how to modify the list-based implementation so that...

Consider method, remove(e), which removes e from whichever list it belongs to, In a list-based implementation for union-find structure. Describe how to modify the list-based implementation so that...

use python do the work in every space where it says #YOUR CODE HERE A Sock Drawer Let us model a sock drawer. How does a sock drawer work? Well, when you do the washing you end up with a bunch of...

(i) Write down the linear program relaxation for the vertex cover problem and solve the linear program. [6 marks] (ii) Based on the solution of the linear program in (b)(i), derive an integer...

A seismic probe bores itself into the seabed, going as deep as it can before running out of fuel. This takes about five minutes. It rotates its spiral drill head at rate R(t) that follows a...

Let i and j be positive integers. (i) Prove that there exist natural numbers a and b such that ai = bj+gcd(i, j). You may use standard results provided that you state them clearly. [4 marks] (ii) Let...

This question involves the use of AGGREGATE linear PYTHOIN regression on the Auto data set. (a) Perform a simple linear regression with mpg as the response and horsepower as the predictor. Describe...

This question concerns lexical grammars. (a) Tree Adjoining Grammars contain two types of elementary tree. (i) What are these trees called? [1 mark] (ii) If one were building a grammar for English...

answer the question clearly You are building a flight-control system for which a convincing safety case must be made. Would you assign the tasks of safety requirements engineering, test case...

What is the difference between MouseListener and MouseAdapter? [3 marks] (b) Via suitable HTML, the compiled version of the following Java code is presented to the appletviewer application: import...

Refer to Problem 60. Use the Taylor polynomial of order 5 based at 1 to approximate And give a good bound for the error that is made? 1.2 In x dx

a. Create the accounting equation for all transections mentioned in question. b. Create balance sheet for the all transections mentioned in question. c. Create the income statement of your business...

Clustering For the given distance matrix: \ table [ [ , P 1 , P 2 , P 3 , P 4 , P 5 , P 6 ] , [ P 1 , 0 , , , , , ] , [ P 2 , 0 . 2 3 , 0 , , , , ] , [ P 3 , 0 . 2 2 , 0 . 1 5 , 0 , , , ] , [ P 4 , 0...

CT Corp Comprehensive Question Canadian Tire Corporation, Limited ( Canadian Tire ) is a family of companies that includes a retail segment and a financial services division, among others. The retail...

Determine whether a sales appeal is appropriate for each of the following situations: (Objectives 2, 4, and 5) a. You are responding to a complaint about the long lines at the checkouts in your...

Why do organizations choose to use high-quality paper for letters but not for memos? (Objective 6)

Explain where to place addressee and delivery notations on a letter and on an envelope. (Objectives 2 and 4)