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?
Carry out the simulation in Mini-Project # 2 using a computer or website instead of physically doing so. Go through the same steps and answer the same questions.
Define the term law and describe the sources from which law is derived.
Make a briefing for division managers showing the advantages and disadvantages of e-learning and how to blend it with other teaching techniques. Use websites, including www.astd.org.
Williams Gear makes and sells three types of computer laptop sleeves: leather, fabric, and plastic. Management is trying to determine the most profitable mix. Sales prices, demand, and use of...
TufStuff, Inc., sells a wide range of drums, bins, boxes, and other containers that are used in the chemical industry. One of the companys products is a heavy-duty corrosion-resistant metal drum,...
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...
Use the Modified Euler method to approximate the solutions to each of the following initial-value problems, and compare the results to the actual values. a. y' = te3t 2y, 0 t 1, y(0) = 0, with...
Describe the banking industries main competitors? Describe how they contribute to banking system. Why they contribute to banking system. Discuss critically with examples.
You are the new analyst hired by In N Out Burger Inc. and your supervisor has asked you to calculate the APR and the r EAR of non-free trade credit based on the terms provided by the company's...
List down information that a lender examines when assessing a borrower's capacity. Explain the importance of cash flow in determining creditworthiness.
Discuss how the law and the code of ethics work together to guide ethical behaviour. For example: If I meet the requirements of the Corporations Act , does that mean I'm ethical?
Share what we learn from the data and information collected for this discussion. Interpret each of the ratios. Review the Financial Ratios Guidelines document for direction. Do you see any red flags?...
Using the data file phillips5_aus, estimate the equation a. Find the first eight lag weights (delay multipliers) of the infinite distributed lag representation that corresponds to this model. What is...
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.
Milden Company is a merchandiser that plans to sell 4 1 , 0 0 0 units during the next quarter at a selling price of $ 5 9 per unit. The company also gathered the following cost estimates for the next...
How do organizational learning theories, such as the learning organization concept and knowledge management practices, contribute to sustained competitive advantage and organizational resilience in...
Harbert, Incorporated had a beginning balance of $12,000 in its Accounts Receivable account. The ending balance of Accounts Receivable was $10,500. During the period, Harbert collects $72,000 of its...

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