Show by induction that the number of degree-2 nodes in any nonempty binary tree is 1 fewer
Question:
Show by induction that the number of degree-2 nodes in any nonempty binary tree is 1 fewer than the number of leaves. Conclude that the number of internal nodes in a full binary tree is 1 fewer than the number of leaves.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 90% (11 reviews)
An equivalence relation on the set of automata which arises in the context of studying some indivi...View the full answer
Answered By
Hardik Dudhat
I am semi-qualified Chemical Engineering ,I have scored centum in accounting in my senior secondary and in my graduation. I have always helped my fellow students with their concerns on the subject, i have tutored on various tutoring sites in the past and also have taken home tuitions for degree and MBA students. As a tutor, I don't want my students to just get a solution, I want them to understand the concept and never have a doubt in that area thereon and i believe in excelling and not in educating.
0.00
0 Reviews
10+ Question Solved
Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Question Posted:
Students also viewed these Computer science questions
-
A full node is a node with two children. Prove that the number of full nodes plus one is equal to the number of leaves in a nonempty binary tree.
-
In Section 5.2 we prove by induction that the number of lines printed by a call to drawInterval(c) is 2 c 1. Another interesting question is how many dashes are printed during that process. Prove by...
-
Suppose that we construct a binary search tree by repeatedly inserting distinct values into the tree. Argue that the number of nodes examined in searching for a value in the tree is one plus the...
-
In this photo, Ramu is eating raw meat. What do Ramus behaviors suggest about how we develop self-concepts? Would you define Ramu as a human or a wolf?
-
Allylic halides have the structure (a) Show how the first-order ionization of an allylic halide leads to a resonance-stabilized cation. (b) Draw the resonance structures of the allylic cations formed...
-
On January 1, 2025, the ledger of Romada Company contained these liability accounts. During January, the following selected transactions occurred. Jan. 1 Borrowed \(\$ 18,000\) in cash from Apex Bank...
-
What are the key macroeconomic objectives of government? Are there likely to be any conflicts between them?
-
Blanchard Company management (in Exercise 21-10) targets an annual after-tax income of $ 810,000. The company is subject to a 20% income tax rate. Assume that fixed costs remain at $ 562,500. In...
-
Hal and Nick are the only producers of a new type of laundry bleach designed to displace conventional laundry bleach. They are trying to figure out how much of the new bleach to produce. They know...
-
The following trial balance was extracted from the books of JCV Ltd. as at 30 September 2019: $ $ Land and buildings 151,000 Motor vehicles at cost 60,000 Accumulated depreciation on motor vehicle (1...
-
Many divide-and-conquer algorithms that operate on graphs require that the graph be bisected into two nearly equal-sized subgraphs, which are induced by a partition of the vertices. This problem...
-
Show that any connected, undirected graph G = (V, E) satisfies |E| |V| 1.
-
Review the requirements in the Accounting Standards Codification (ASC) that address accounting for contingencies. Describe the three ranges of loss contingencies outlined in accounting standards and...
-
What are new security concerns added when you move to the cloud that you do not have in an on-premise system? Find an article about current cloud security events. List the article and give a synopsis.
-
Cobb Company sold one Treasury Bond futures contract (one) when the specified price was 93-25. When the position was closed out, the price of the Treasury Bond futures contract was 95-12. What was...
-
a cash-basis individual, wins a $1m lottery price and becomes entitled to the prize on August 1. Con has until September 30 to choose either 20 annual payments of $50,000 each or a lump-sum payment...
-
Two moles of an ideal H 2 gas is compressed without any net heat flow. starting with an initial temperature of 5 3 0 0 C molecules of the gas already have both rotational and vibrational energy...
-
You are put in charge of managing your firms working capital. Your firm has $100,000 in extra cash on hand and decides to put it in a savings account paying 7% interest compounded annually. How much...
-
Consider the following all-integer linear program: Max 1x1 + 1x2 s.t. 4x1 + 6x2 ( 22 1x1 + 5x2 ( 15 2x1 + 1x2 ( 9 x1, x2 ( 0 and integer a. Graph the constraints for this problem. Use dots to...
-
In Exercises discuss the continuity of each function. f(x) -3 1 x - 4 y 3 2 -1 -2 -3+ 3 X
-
A binary file is 4560 bytes long. How long will it be if encoded using base 64 encoding, with a CR+LF pair inserted after every 110 bytes sent and at the end?
-
Although it was not mentioned in the text, an alternative form for a URL is to use the IP address instead of its DNS name. Use this information to explain why a DNS name cannot end with a digit.
-
Assume six devices are arranged in a mesh topology. How many cables are needed? How many ports are needed for each device?
-
Quantitative Problem 1: Assume today is December 31, 2019. Barrington Industries expects that its 2020 after tax operating income [EBIT(1-T)] will be $400 million and its 2020 depreciation expense...
-
Diversity in the Workplace Share an article that shows an example of the importance of cultural diversity in the global workplace. As Christians, how can we promote diversity in our future workplaces?
-
There is a need for a parking lot within a given town. A land in a suitable location is available for purchase that they could pave to provide some additional parking. Based on a survey of local...
Study smarter with the SolutionInn App