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

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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


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