Show that if unions are performed by height, then the depth of any tree is O(logN).
Question:
Show that if unions are performed by height, then the depth of any tree is O(logN).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 69% (13 reviews)
Claim A tree of height h has at least 2 h nodes The proof is by induction A ...View the full answer
Answered By
Collins Omondi
I have been an academic and content writer for at least 6 years, working on different academic fields including accounting, political science, technology, law, and nursing in addition to those earlier listed under my education background.
I have a Bachelor’s degree in Commerce (Accounting option), and vast knowledge in various academic fields Finance, Economics, Marketing, Management, Social Science, Women and Gender, Business law, and Statistics among others.
4.80+
4+ Reviews
16+ Question Solved
Related Book For
Data Structures and Algorithm Analysis in Java
ISBN: 978-0132576277
3rd edition
Authors: Mark A. Weiss
Question Posted:
Students also viewed these Computer Sciences questions
-
Show the result of the following sequence of instructions: union(1,2), union(3,4), union(3,5), union(1,7), union(3,6), union(8,9), union(1,8), union(3,10), union (3,11), union(3,12), union(3,13),...
-
Prove that if unions are done by size and path compression is performed, the worstcase running time is O(M(M,N)).
-
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.
-
QUESTION 9 The output expression for an AND-OR-Invert circuit having one AND gate with inputs A, B and C and one AND gate with inputs D, E and Fis O(A+B+C)(D+E+F) O (A+B+C)(D+E+F) ABC + DEF...
-
A bicycle is traveling downhill at a high speed. Suddenly, the cyclist sees that a bridge ahead has collapsed, so she has to stop. What is the maximum magnitude of acceleration the bicycle can have...
-
Which of the following is not a JSP implicit object? (a) Request (b) Response (c) In (d) Out
-
Consider a simple bivariate VECM \[ \begin{aligned} & y_{1 t}-y_{1 t-1}=\delta_{1}+\alpha_{1}\left(y_{2 t-1}-\beta y_{1 t-1}-\mu ight) \\ & y_{2 t}-y_{2 t-1}=\delta_{2}+\alpha_{2}\left(y_{2...
-
In the following examples, use the statutory and case law presented in the hypothetical at the beginning of the chapter, that is, 96-25-16 and Karl v. Herald. The client seeks redress for the other...
-
You placed $3,502 in a savings account today that earns an annual interest rate of 7 percent compounded annually. How much you will have in this account at the end of 5 years? Assume that all...
-
Prove that if p 1 p 2 is positive, then vector p 1 is clockwise from vector p 2 with respect to the origin (0, 0) and that if this cross product is negative, then p 1 is counterclockwise from p 2 .
-
For each of the trees in the previous exercise, perform a find with path compression on the deepest node.
-
Suppose f (N) is a nicely defined function that reduces N to a smaller integer. What is the solution to the recurrence T(N) = N/f (N) T(f (N)) + N with appropriate initial conditions?
-
Given that loga x = 2, loga y = 3, and loga z = 4, find loga (4(y2z5) / 4(x3z-2).
-
What is the current status of the Doha Round of multilateral trade negotiations? Is the agreement moving forward?
-
An article in Forbes noted that the Intercounty Connector toll road that connects two counties in Maryland was not generating as much toll revenue as predicted. At that time, the toll rate was $8 for...
-
We often observe that items such as different brands of aspirin, gasoline, and tomato sauce are typically priced the same, particularly when consumers can find these goods in close proximity to each...
-
In your context, identify some prevent and detect controls. Discuss how effective they are, whether they could be improved and whether they could be replaced or even abandoned.
-
Between 2000 and 2017, real GDP per person grew, on average, 1% per year in the United States. Did this GDP growth benefit all Americans? What does this tell us about the limitations of GDP as a...
-
A company currently pays a dividend of $2 per share, D 0 = $2. It is estimated that the company's dividend will grow at a rate of 14% per year for the next 2 years, then the dividend will grow at a...
-
Write a paper detailing a geographic information system (GIS) of your own design that would utilize data in an original manner.
-
Get all pairs of part numbers such that some supplier supplies both the indicated parts.
-
Get the total number of projects supplied by supplier S1.
-
Get the total number of part P1 supplied by supplier S1
-
The wheels of a skateboard roll without slipping as it accelerates at 0.45 m/s down an 80-m-long hill. Part A If the skateboarder travels at 1.5 m/s at the top of the hill, what is the average...
-
A 2.30 g air-inflated balloon is given an excess negative charge, q = -3.50 10-8 C, by rubbing it with a blanket. It is found that a charged rod can be held above the balloon at a distance of d =...
-
A positive charge q = 2.60 C on a frictionless horizontal surface is attached to a spring of force constant k as in the figure shown below. When a charge of 42 = -8.350 C is placed 9.50 cm away from...
Study smarter with the SolutionInn App