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

Explain about the abstract data type, Explain about the Abstract data type ...

Explain about the Abstract data type Abstract data type (ADT) A set of values (the carrier set) and operations on those values

Explain the concept of colouring, Colouring The use of colours in CAD/C...

Colouring The use of colours in CAD/CAM has two main objectives : facilitate creating geometry and display images. Colours can be used in geometric construction. In this case,

Process of decision making under uncertainty, (a) Describe the steps involv...

(a) Describe the steps involved in the process of decision making under uncertainty. (b) Explain the following principles of decision making: (i) Laplace, (ii) Hurwicz. (c

Algorithms, 2. Write a note on i) devising ii) validating and...

2. Write a note on i) devising ii) validating and iii) testing of algorithms.

Algorithm that inputs the codes for all items in stock, A shop sells books,...

A shop sells books, magazines and maps. Every item is identified by a unique 4 - digit code. All books have a code which starts with 1, all maps have a code starting with 2 and all

Program, What is a first-in-first-out data structure ? Write algorithms to...

What is a first-in-first-out data structure ? Write algorithms to perform the following operations on it – create, insertion, deletion, for testing overflow and empty conditions.

Doubly linked lists-implementation, In any singly linked list, each of the ...

In any singly linked list, each of the elements contains a pointer to the next element. We have illustrated this before. In single linked list, traversing is probable only in one d

What is quick sort, What is quick sort? Quick sort is a sorting algorit...

What is quick sort? Quick sort is a sorting algorithm that uses the idea if split and conquer. This algorithm chooses an element called as pivot element; search its position in

Determine the term - loops, Loops There are 3 common ways of performin...

Loops There are 3 common ways of performing a looping function: for ... to ... next, while ... endwhile and repeat ... until The below example input 100 numbers and find

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