Deletion of a node from a binary search tree, Data Structure & Algorithms

Assignment Help:

The algorithm to delete any node having key from a binary search tree is not simple where as several cases has to be considered.

  • If the node to be deleted contains no sons, then it might be deleted without further adjustment to the tree.
  • If the node to be deleted contains only one subtree, then its only son may be moved up to take its space.
  • The node p to be deleted contain two subtrees, then its inorder successor s have to take its place. The inorder successor could not contain left subtree. Hence, right son of s can be moved up to gain the place of s.

Example: Assume the following cases wherein node 5 have to be deleted.

1. The node to be deleted has no children.

2390_Deletion of a node from a Binary Search Tree.png

3. The node to be deleted contains two children. This case is complicated. The order of the binary tree has to be kept intact.


Related Discussions:- Deletion of a node from a binary search tree

Tree, application of threaded binary treee

application of threaded binary treee

What are the dynamic arrays, What are the Dynamic arrays Dynamic arrays...

What are the Dynamic arrays Dynamic arrays are convenient for programmers since they can never be too small-whenever more space is needed in a dynamic array, it can simply be e

Explain decision tree, Decision Tree A decision tree is a diagram that ...

Decision Tree A decision tree is a diagram that shows conditions and actions sequentially and therefore shows which condition is to be considered first, second and so on. It is

Numerical - algorithm, Q. What is the smallest value of n such that an algo...

Q. What is the smallest value of n such that an algorithm whose running time is 100n2 runs faster than an algorithm whose running time is 2n on the same machine.    A n

Splaying procedure, For splaying, three trees are maintained, the central, ...

For splaying, three trees are maintained, the central, left & right sub trees. At first, the central subtree is the complete tree and left and right subtrees are empty. The target

Advantage of list over arrays, The advantage of list over Arrays is flexibi...

The advantage of list over Arrays is flexibility. Over flood is not a problem until the computer memory is bushed. When the individual record are quite large, it may be difficult t

Splaying algorithm, Insertion & deletion of target key requires splaying of...

Insertion & deletion of target key requires splaying of the tree. In case of insertion, the tree is splayed to find the target. If, target key is found out, then we have a duplicat

Shortest path dijkstras algorithm, * Initialise d & pi* for each vertex ...

* Initialise d & pi* for each vertex v within V( g ) g.d[v] := infinity  g.pi[v] := nil g.d[s] := 0; * Set S to empty * S := { 0 }  Q := V(g) * While (V-S)

A full binary tree with n leaves, A full binary tree with n leaves have:- ...

A full binary tree with n leaves have:- 2n -1 nodes.

How do collisions happen during hashing, How do collisions happen during ha...

How do collisions happen during hashing? Usually the key space is much larger than the address space, thus, many keys are mapped to the same address. Assume that two keys K1 an

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