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problemimplement the tree adt using the binary tree representation described in exercise c-712 you may reuse the linked
problem1 write a program that draws a binary tree2 write a program that draws a general tree3 write a program that can
problemdefine the internal path length it of a tree t to be the sum of the depths of all the internal nodes in t
problem1 the path length of a tree t is the sum of the depths of all the nodes in t describe a linear-time method for
problem1 describe a nonrecursive method for evaluating a binary tree representing an arithmetic expression2 describe a
problemsuppose each node v of a binary tree t is labeled with its value pv in a level numbering of t design a fast
problemlet t be a binary tree with n nodes and for any node v in t let dv denote the depth of v in t the distance
problemlet t be a tree with n nodes define the lowest common ancestor lca between two nodes v and w as the lowest node
problemwithin the linked data structure for binary trees explore an alternative design for implementing the iterators
problemconsider a variation of the linked data structure for binary trees where each node object has references to the
problemlet a visit action in the euler tour traversal be denoted by a pair va where v is the visited node and a is one
problemgiven a proper binary tree t define the reflection of t to be the binary tree t prime such that each node v in t
problemas mentioned postfix notation is an unambiguous way of writing an arithmetic expression without parentheses it
problem1 extend the concept of an euler tour to an ordered tree that is not necessarily a binary tree2 design an
problemtwo ordered trees t prime and t prime are said to be isomorphic if one of the following holdsbull both t prime
problem1 for a tree t let ni denote the number of its internal nodes and let ne denote the number of its external nodes
problemdesign algorithms for the following operations for a binary tree tbull preorder nextv return the node visited
problem1 describe in pseudo-code an algorithm for computing the number of descendents of each node of a binary tree the
problemdescribe a generalization of the euler tour traversal to trees such that each internal node has three children
problemdraw an arithmetic expression tree that has four external nodes storing the numbers 1 5 6 and 7 with each number
problem1 let t be an n-node binary tree that may be improper describe how to represent t by means of a proper binary
problemthe following questions refer to the tree of figure 73a which node is the rootb what are the internal nodesc how
problem1 prove that the greedy approach to the fractional knapsack problem yields an optimal solution2 show that the
problem1 use a greedy approach to write an algorithm that minimizes the number of record moves in the problem of