Conversion of general trees into the binary trees, Data Structure & Algorithms

Assignment Help:

By taking an appropriate example explain how a general tree can be represented as a Binary Tree.                                                                   

Conversion of general trees into the binary trees:

A general tree can be changed into an equivalent binary tree. This conversion process or technique is called the natural correspondence between general and binary trees.

The algorithm is written below:

(a) Insert the edges connecting siblings from left to right at the same level.

(b Erase all edges of a parent to its children except to its left most offspring.

(c) Rotate the obtained tree 450 to mark clearly left and right subtrees.

A general tree shown in figure (a) converted into the binary tree shown in (b)

 

1508_BTS.png

1768_BTS1.png


Related Discussions:- Conversion of general trees into the binary trees

Algorithm to merge the lists together, Q. Let X = (X1, X2, X3,....Xn) and Y...

Q. Let X = (X1, X2, X3,....Xn) and Y= (Y1, Y2, Y3,....Xm) be the two linked lists respectively. Write down an algorithm to merge the lists together to get the linked list Z such th

A Booth''s, Draw a flowchart of a Booth''s multiplication algorithm and exp...

Draw a flowchart of a Booth''s multiplication algorithm and explain it.

State cmy model, CMY Model  The cyan, magenta, yellow (CMY) colour mode...

CMY Model  The cyan, magenta, yellow (CMY) colour model is a subtractive model based on the colour absorption properties of paints and inks. As such it has become the standard

Algorithm of binary search, Step 1: Declare array 'k' of size 'n' i.e. k(n)...

Step 1: Declare array 'k' of size 'n' i.e. k(n) is an array which stores all the keys of a file containing 'n' records Step 2: i←0 Step 3: low←0, high←n-1 Step 4: while (l

Explain the theory of computational complexity, Explain the theory of compu...

Explain the theory of computational complexity A  problem's  intractability  remains  the  similar  for  all  principal  models  of   computations    and   all reasonable inpu

Explain the bubble sort algorithm, Explain the bubble sort algorithm. ...

Explain the bubble sort algorithm. Answer This algorithm is used for sorting a list. It makes use of a temporary variable for swapping. It compares two numbers at an insta

Data flow diagrams, How to construct a data flow diagram for a college assi...

How to construct a data flow diagram for a college assignment and marking systemA

Define min-heap, Define min-heap A min-heap is a complete binary tree i...

Define min-heap A min-heap is a complete binary tree in which each element is less than or equal to its children. All the principal properties of heaps remain valid for min-hea

Perform inorder, QUESTION (a) Construct a binary tree for the following...

QUESTION (a) Construct a binary tree for the following numbers assuming that a number greater than the node (starting from the root) goes to the left else it goes to the right.

DAA, what do we use asymptotic notation in study of algorithm?Describe vari...

what do we use asymptotic notation in study of algorithm?Describe various asymptotic notation and give their significance.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd