Show that if all of the unions precede the finds, then the disjoint set algorithm with path

Question:

Show that if all of the unions precede the finds, then the disjoint set algorithm with path compression requires linear time, even if the unions are done arbitrarily.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Data Structures and Algorithm Analysis in Java

ISBN: 978-0132576277

3rd edition

Authors: Mark A. Weiss

See More Books

Question Posted: Mar 06, 2018 10:06 AM

See More Questions

a. Show that if all nodes in a splay tree are accessed in sequential order, the resulting tree consists of a chain of left children. b. Show that if all nodes in a splay tree are accessed in...
Karen has a new way to do path compression in a tree-based union/find partition data structure starting at a position p. She puts all the positions that are on the path from p to the root in a set S....
Consider the function (n) = min {k : A k (1) lg(n + 1)}. Show that (n) 3 for all practical values of n and, using Exercise 21.4-2, show how to modify the potential-function argument to prove that...
A database is to be made to store information about a catalogue of CDs. Information to be stored about each CD includes title, price, genre, and a list of tracks. Each CD will also have an artist,...
The position of a particle is given by the expression x = (4.00 m) cos (3.00)t % )), where x is in meters and t is in seconds. Determine (a) The frequency and period of the motion, (b) The amplitude...
Find the steady-state charge and the steady-state current in an LRC-series circuit when L = 1 h, R = 2, C = 0.25 f, and E(t) = 50 cos t V.
Involvement of people: ensuring that all employees at all levels are able to fully use their abilities for the organizations benefit? LO.1
Namaka Inc. (Namaka) recently purchased new display cases for its retail stores. The display cases cost $150,000, taxes were $22,000 (of which $19,500 is refundable), delivery cost $5,000, and set-up...
AHON Equity and Liabilities Amount 103 Assets Patents 20,00,000 Freehold Premises Stock in Trade 12,00,000 Debtors 8,00,000 Furniture 1,44,000 Investment 5,60,000 Bank 200,000 Equity Shares of Amount...
What is the beta of each of the stocks shown in Table 7.8? TABLE 7.8 Stock Return if Market Return Is: +10% +20 +20 Stock 10% -20 -30 +15 +10 +15 -10
Suppose we want to add an extra operation, remove(x), which removes x from its current set and places it in its own. Show how to modify the union/find algorithm so that the running time of a sequence...
Prove that if unions are done by size and path compression is performed, the worstcase running time is O(M(M,N)).
To redeem a $100 000 promissory note due in 10 years, Cobblestone Enterprises has set up a sinking fund earning 7.5% compounded semi-annually. Equal deposits are made at the beginning of every six...
The answer above is NOT correct. The value of (2x + 1)(x + x)dx is
Review the resource on organizational theory. Explore the various theories and select one to use for this Discussion. Consider the strengths and limitations of the chosen theory. Compose an analysis...
How do the locations of Australian department store Myer affect the ability of the other factors of the operating model canvas (suppliers, organization, processes, and information/management systems)...
Critical Reading Review: The Exclusion of Latinos from American Media and History Books Read the article. After reading the article, answer the following questions: 1. What purpose do you think the...
1. How does the proposed market segment of residential contracts differ from Smith Electric's current market segment? 2.What does a SWOT analysis tell us about Smith Electric's ability to enter a...
Define the two primary forms of franchising and provide examples for each.
Question 6.10 Current and deferred tax worksheets and tax entries From the hip Ltd?s statement of profit or loss for the year ended 30 June 2007 and extracts from its statements of financial position...
Union, intersection, product, and natural join are all both commutative and associative. Verify these claims.
Of Cods original set of eight operators, union, difference, product, restrict, and project can be considered as primitives. Give definitions of natural join, intersect, and (harder) divide in terms...
In ordinary arithmetic, multiplication and division are inverse operation. Are times and divide by inverse operations in the relation algebra?
Ted and his partners have contracted to purchase the franchise nights worth 561 000 to open and operate a specialty pizza restaurant called Popper with a renewable agrement, the partners have agreed...
Your answer is partially correct. Martin Company's chief financial officer feels that it is important to have data for the entire quarter especially since their financial forecasts indicate some...
Kellog Corporation is considering a capital budgeting project that would have a useful life of 4 years and would love testing 5156.000 in equipment that would have zeto salvage value at the end of...

Show that if all of the unions precede the finds, then the disjoint set algorithm with path

Question:

Step by Step Answer:

Suppose there are u union and f find operations Each union costs constant time for a tot...View the full answer

Data Structures and Algorithm Analysis in Java

Students also viewed these Computer Sciences questions