Define the internal path length, I(T), of a tree T to be the sum of the depths
Question:
Define the internal path length, I(T), of a tree T to be the sum of the depths of all the internal nodes in T. Likewise, define the external path length, E(T), of a tree T to be the sum of the depths of all the external nodes in T. Show that if T is a binary tree with n internal nodes, then E(T) = I(T)+2n.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (14 reviews)
Proof by induction on the number of internal nodes n Base ca...View the full answer
Answered By
Marvine Ekina
Marvine Ekina
Dedicated and experienced Academic Tutor with a proven track record for helping students to improve their academic performance. Adept at evaluating students and creating learning plans based on their strengths and weaknesses. Bringing forth a devotion to education and helping others to achieve their academic and life goals.
PERSONAL INFORMATION
Address: , ,
Nationality:
Driving License:
Hobbies: reading
SKILLS
????? Problem Solving Skills
????? Predictive Modeling
????? Customer Service Skills
????? Creative Problem Solving Skills
????? Strong Analytical Skills
????? Project Management Skills
????? Multitasking Skills
????? Leadership Skills
????? Curriculum Development
????? Excellent Communication Skills
????? SAT Prep
????? Knowledge of Educational Philosophies
????? Informal and Formal Assessments
0.00
0 Reviews
10+ Question Solved
Related Book For
Algorithm Design And Applications
ISBN: 9781118335918
1st Edition
Authors: Michael T. Goodrich, Roberto Tamassia
Question Posted:
Students also viewed these Computer science questions
-
Show that if n is an integer and n3 + 5 is odd, then n is even using a) A proof by contraposition. b) A proof by contradiction.
-
Show that if U is an n x n orthogonal matrix then u1uT1 + u2uT2 + + unuTn = I
-
Show that if A is an n ( n matrix whose kth row is the same as the kth row of In, then 1 is an eigenvalue of A?
-
Refer to the adjusted trial balance for Romney's Marketing Company in M4-8. Prepare the closing entry at the end of the current year. M4-8 Romney's Marketing Company has the following adjusted trial...
-
A propped cantilever beam of length 2L with support at B is loaded by a uniformly distributed load with intensity q. Use the method of superposition to solve for all reactions. Also draw shear-force...
-
Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2 x 2 + 3x using First Principles.
-
Consider the stock and bond lattices on the left of Figure 14.18. Each has unit cost of \(\$ 1\) with the payoffs shown at the end nodes. There is a new asset available-a derivative of the first two...
-
Full-of-Nature is a vitamin supplement company in New York that makes different herbal pills for gaining muscular strength, losing weight, and living a healthier life. You have been hired to audit...
-
Tax on purchases during the year Interest from a savings account Interest from City of Boston Bonds Dividend from 3 M stock $ 1 , 4 0 0 5 0 0 9 , 0 0 0 2 , 6 0 0 1 , 0 0 0 6 , 2 0 0 8 0 0 7 0 0 4 0 0...
-
Accounting information systems have five generic parts. Based on the preceding narrative, information on the Big Marker web site and your own critical thinking, provide two examples of each of the...
-
Let T be a binary tree with n nodes. Give a linear-time method that uses the methods of the BinaryTree interface to traverse the nodes of T by increasing values of the level numbering function p...
-
Suppose you are given a sorted array, A, of n distinct integers in the range from 1 to n + 1, so there is exactly one integer in this range missing from A. Describe an O(log n)-time algorithm for...
-
Should a project manager be paid for performance or for the number of people he supervises?
-
What problems occur to you when you look at Figure 11.2? Figure 11.2: External environment ORGANISATION S BUSINESS STRATEGY OVERALL HR STRATEGY Reward strategy Cultural strategy Structural strategy...
-
What are the 10 underlying principles for systems development?
-
Which disclosure is required of all companies with oil and gas producing activities? a. SMOG b. Accounting method c. Proved oil and gas reserve information d. Capitalized costs e. All of these
-
In the disclosure of costs incurred for property acquisition, exploration, and development activities, costs must be broken down between those that were capitalized and those that were expensed. a....
-
How are system life cycle and system development methodology related?
-
Large Orange Company produces basketballs. It incurred the following costs during the year: Direct materials...........................................$14,400 Direct...
-
If you want to solve a minimization problem by applying the geometric method to the dual problem, how many variables and problem constraints must be in the original problem?
-
What values are returned during the following sequence of deque ADT operations, on an initially empty deque? addFirst(3), addLast(8), addLast(9), addFirst(1), last( ), isEmpty( ), addFirst(2),...
-
Had the queue of the previous problembeen an instance of the ArrayQueue class, from Code Fragment 6.10, with capacity 30 never exceeded, what would be the final value of the instance variable f?
-
Suppose an initially empty queue Q has performed a total of 32 enqueue operations, 10 first operations, and 15 dequeue operations, 5 of which returned null to indicate an empty queue. What is the...
-
Suppose the correlation between the stock euro returns of Siemens and the USD/EUR exchange rate is 0.2. The standard deviation of the USD/EUR is 10% and the standard deviation of Siemens's stock euro...
-
list and describe the three key client-related factors that the advisor is required to consider when developing a "suitable" investment portfolio for their client. Please cite resources used
-
Year 1 2 3 Amount ($) 2000 3000 4000 An investment made today will pays you the above cash flows at the end of each year. If your required rate of return is 5% annual interest, how much will you pay...
Study smarter with the SolutionInn App