Representation of max-heap sequentially, Data Structure & Algorithms

Assignment Help:

Q. How do we represent a max-heap sequentially? Explain by taking a valid   example.        

Ans:

A max heap is also called as a descending heap, of size n is an almost complete binary tree of n nodes such as the content of each node is less than or equal to the content or matter of its father. If sequential representation of an almost whole binary tree is used, this condition reduces to the condition of inequality.

Info[j] <= info[(j-1)/2] for 0 <= ((j-1)/2) < j <= n-1

It is very much clear from this definition that root of the tree contains the largest element in the heap in the descending heap. Any of the paths from the root to a leaf is an ordered list in the descending order.


 

 

 

 


Related Discussions:- Representation of max-heap sequentially

Use of asymptotic notation in the study of algorithm, Q. What is the need o...

Q. What is the need of using asymptotic notation in the study of algorithm? Describe the commonly used asymptotic notations and also give their significance.

Estimate cost of an optimal diapath, Normally a potential y satisfies y r ...

Normally a potential y satisfies y r = 0 and 0 ³ y w - c vw -y v . Given an integer K³0, define a K-potential to be an array y that satisfies yr = 0 and K ³ y w - c vw -y v

Explain internal and external nodes, Explain Internal and External Nodes ...

Explain Internal and External Nodes  To  draw  the  tree's  extension  by  changing  the  empty  subtrees  by  special nodes. The  extra  nodes shown by little squares are know

Define game trees, Game trees An interesting application of trees is th...

Game trees An interesting application of trees is the playing of games such as tie-tac-toe, chess, nim, kalam, chess, go etc. We can picture the sequence of possible moves by m

Depth-first search (dfs) , In this respect depth-first search (DFS) is the...

In this respect depth-first search (DFS) is the exact reverse process: whenever it sends a new node, it immediately continues to extend from it. It sends back to previously explore

Small program on Algorithms , Objective The goal of this project is to ext...

Objective The goal of this project is to extend and implement an algorithm presented in the course and to apply notions introduced by the course to this program/algorithm. The ass

Files structures, The structures of files vary from operating system to ope...

The structures of files vary from operating system to operating system. In this unit, we will discuss the fundamentals of file structures with the generic file organisations. A

Implementation of stack using linked lists, In the last subsection, we have...

In the last subsection, we have implemented a stack by using an array. While a stack is implemented by using arrays, it suffers from the basic restriction of an array - i.e., its s

Illustrate the wire frame representation, RENDERING, SHADING AND COLOURING ...

RENDERING, SHADING AND COLOURING By introducing hidden line removal we have already taken one step away from wire-frame drawings towards being able to realistically model and d

Postorder traversal of a binary tree, Postorder traversal of a binary tree ...

Postorder traversal of a binary tree struct NODE { struct NODE *left; int value;     /* can take any data type */ struct NODE *right; }; postorder(struct NODE

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