Show that the longest simple path from a node x in a red-black tree to a descendant

Question:

Show that the longest simple path from a node x in a red-black tree to a descendant leaf has length at most twice that of the shortest simple path from node x to a descendant leaf.

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

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: Jul 13, 2010 02:19 AM

See More Questions

Show that the length of the shortest path between vertices v and u in a connected simple graph equals the level number of u in the breadth-first spanning tree of G with root v.
A node in a tree is called terminating if it has only one edge. Repeat the preceding exercise when all terminating nodes except for the top one are grounded. (i) (ii) (iii) (iv) (v) ww
Show that if a node in a binary search tree has two children, then its successor has no left child and its predecessor has no right child.
Layes Corporation has been authorized to issue 20,000 shares of $100 par value, 7%, noncumulative preferred stock and 1,000,000 shares of no-par common stock. The corporation assigned a $5 stated...
What does the five-number summary consist of?
The Bureau of Finance has always been a relaxed place to work. Employees are allowed 60 minutes for a lunch break and are not required to sign or punch in or out. Recently the head of the Bureau has...
Explain why sunk costs should not be included in a capital budgeting analysis, but opportunity costs and externalities should be included. AppendixLO1
On June 30, 2007 a flash flood damaged the warehouse and factory of Padway Corporation, completely destroying the work-in-process inventory. There was no damage to either the raw materials or...
Fanning Boat Company makes inexpensive aluminum fishing boats. Production is seasonal, with considerable activity occurring in the spring and summer. Sales and production tend to decline in the fall...
In the fall of Year 5, eight wealthy business people from the same ethnic back ground formed a committee (CKER committee) to obtain a radio license from the Canadian Radio-Television and...
Suppose that we "absorb" every red node in a red-black tree into its black parent, so that the children of the red node become children of the black parent. (Ignore what happens to the keys.) What...
Show that any arbitrary n-node binary search tree can be transformed into any other arbitrary n-node binary search tree using O (n) rotations. (Hint: First show that at most n - 1 right rotation...
Determine the Laplace transform of the ramp function f(t) = t.
You are an external auditor in a firm that undertakes the audit of Canadian Life and Mutual (CLM), a large, Montreal-based financial institution. CLM relies heavily on its computer-based information...
You need to temporarily increase the feed rate to an existing column without flooding. Since the column is now operating at about $90 \%$ of flooding, you must vary some operating parameter. The...
Consider, again, the clothing data set. Obtain the three summary plots of the sample cross-correlations for lags 1 to 21.
Based on the dangling-else discussion in Exercise 3.27, modify the following code to produce the output shown. Use proper indentation techniques. You must not make any additional changes other than...
Consider the random process $U(t)=A$, where $A$ is a random variable uniformly distributed on $(-1,1)$. (a) Sketch some sample functions of this process. (b) Find the time autocorrelation...
For the following scores, X Y 2 7 5 4 4 7 7 5 2 6 4 7 a. Sketch a scatter plot showing the six data points. b. Just looking at the scatter plot, estimate the value of the Pearson correlation. c....
Charles owns an office building and land that are used in his trade or business. The office building and land were acquired in 1978 for $800,000 and $100,000, respectively. During the current year,...
Summarize the Keynesian and Neoclassical models.
How do warehouses and distribution centers differ? What is cross-docking and why might a company choose to cross-dock a product? What kinds of products can be delivered electronically? What kinds...
Strawberry Inc. has historically been an all-equity firm. The analyst expects EBIT to be $1.5B in perpetuity starting one year from now. The cost of equity for the company is 11.5% and the tax rate...
Guzman company received a 60- day, 5 % note for 54,000 dated July 12 from a customer on account. Determine the due date on note. Determine the maturity value of the note and journalize the entry of...

Show that the longest simple path from a node x in a red-black tree to a descendant

Question:

Step by Step Answer:

In the longest path at least every other node is black In the shorte...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Computer Sciences questions