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

Algorithm, implement multiple stacks in a single dimensional array. write a...

implement multiple stacks in a single dimensional array. write algorithm for various stack operation for them

What is assertions and abstract data types, Assertions and Abstract Data Ty...

Assertions and Abstract Data Types Even though we have defined assertions in terms of programs, notion can be extended to abstract data types (which are mathematical entities).

Define tractable and intractable problems, Define tractable and intractable...

Define tractable and intractable problems Problems that can be solved in polynomial time are known as tractable problems, problems that cannot be solved in polynomial time are

Encryption the plain-text using the round keys, Encryption the plain-text u...

Encryption the plain-text using the round keys: 1. (Key schedule) Implement an algorithm that will take a 128 bit key and generate the round keys for the AES encryption/decryp

Exact analysis of insertion sort, Exact analysis of insertion sort: Let...

Exact analysis of insertion sort: Let us assume the following pseudocode to analyse the exact runtime complexity of insertion sort. T j   is the time taken to execute the s

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

Binary tree with depth 3, Q. Construct a complete binary tree with depth 3 ...

Q. Construct a complete binary tree with depth 3 for this tree which is maintained in the memory using the linked representation. Make the adjacency list and adjacency matrix for t

Binary search tree, write an algorithm to delete an element x from binary...

write an algorithm to delete an element x from binary search with time complex

Complexity classes, Complexity classes All decision problems fall in se...

Complexity classes All decision problems fall in sets of comparable complexity, called as complexity classes. The complexity class P is the set of decision problems which ca

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