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

Define ordinary variable, Ordinary variable An ordinary variable of a e...

Ordinary variable An ordinary variable of a easy data type can store a one element only

Double linked list, In a doubly linked list, also called as 2 way list, eac...

In a doubly linked list, also called as 2 way list, each node is divided into 3 parts. The first part is called previous pointer field. It contains the address of the preceding

Algorithms, Data array A has data series from 1,000,000 to 1 with step size...

Data array A has data series from 1,000,000 to 1 with step size 1, which is in perfect decreasing order. Data array B has data series from 1 to 1,000,000, which is in random order.

Postfix expression algorithm, Write an algorithm to calculate a postfix exp...

Write an algorithm to calculate a postfix expression.  Execute your algorithm using the given postfix expression as your input : a b + c d +*f ↑ . T o evaluate a postfix expr

Recursive implementation of binary tree traversals, There are three typical...

There are three typical ways of recursively traversing a binary tree. In each of these, the left sub-trees & right sub-trees are visited recursively and the distinguishing feature

Sparse matrices, SPARSE MATRICES Matrices along with good number of zer...

SPARSE MATRICES Matrices along with good number of zero entries are called sparse matrices. Refer the following matrices of Figure (a)

Structural Induction, Let a be a well-formed formula. Let c be the number o...

Let a be a well-formed formula. Let c be the number of binary logical operators in a. (Recall that ?, ?, ?, and ? are the binary logical operators). Let s be the number of proposit

Stack, using a program flowchart design a program to illustrate pop and pus...

using a program flowchart design a program to illustrate pop and push operation

Implementation of dequeue, Dequeue (a double ended queue) is an abstract da...

Dequeue (a double ended queue) is an abstract data type alike to queue, where insertion and deletion of elements are allowed at both of the ends. Like a linear queue & a circular q

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