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## Comparison and Enhancement of Sorting Algorithms

Software: Practice and Experience. Research Article. Hiroshi Inoue Corresponding Author E-mail address: inouehrs jp. Read the full text. Tools Request permission Export citation Add to favorites Track citation.

Share Give access Share full text access. Share full text access. Please review our Terms and Conditions of Use and check box below to share full-text version of article. Citing Literature. Authors Mohit Sehgal , Nihal Kumar. This article is available in Harvard network. Abstract One of the fundamental issues in Computer Science is the ordering of a list of items - known as sorting. Reference Knuth D. Cormen T. Vandana Sharma, Satwinder Singh and Dr. Kaur S.

Gurram, H. Thus, the largest element in a heap is stored at the root, and the sub trees rooted at a node contain smaller values smaller values than does the node itself. Algorithm Heapify B,i : 1. If largest!

Heapify B,largest b Build-Heap B : goes through the remaining nodes of the tree and runs Heapify on each one. The order in which the nodes are processed guarantees that the sub trees rooted at children at children of a node I are heaps before Heapify is run on that node. Build-Heap B 1.

Do Heapify B,i. Build-Heap B 2.

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Creation of Heap is the process in which a number of comparisons takes place thereby taking logn time. Time complexity for heap sort in average as well as worst case lies the same i. Insertion sort is an example of an incremental algorithm. It builds the sorted sequence one element at a time.

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It takes an array A[ The array A is sorted in place: the numbers are rearranged within the array, with at most a constant number outside the array at any time. To compute the running time, T n , we sum the products of the cost and times column. That is, the running time of the algorithm is the sum of running times for each statement executed. Best-Case Analysis[12]: The best case occurs if the array is already sorted.

Therefore, T n it is a linear function of n. The main concept here is that the while-loop in line 5 executed only once for each j. This happens if given array A is already sorted. Worst-Case Analysis[13]: The worst-case occurs if the array is sorted in reverse order i. In the reverse order, we always find that A[i] is greater than the key in the while-loop test.

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## A high‐performance sorting algorithm for multicore single‐instruction multiple‐data processors

So, we must compare each element A[j] with each element in the entire sorted subarray A[ Therefore, T n is a quadratic function of n. Here the main concept is that the worst- case occurs, when line 5 executed j times for each j. Given a sequence of elements also called keys c[1],…. Each set is individually sorted and the resulting sorted sequence are merged to produce a single sorted sequence of n elements[9].

## Design and analysis of predictive sorting algorithms | SpringerLink

The procedure merges the pairs of sub arrays of C and assigns them to the array D. Merge the Q pairs of sub arrays. The initial range of data set starts from 50 to elements with increment of elements and later the size of elements increased and reached to with the interval of elements. Table1 shows this data set and clock tick measurement and the table 2 shows the total time taken by the algorithm in seconds to sort the elements.

The table 3 shows the comparative study of their characteristics, time as well as space complexities. TABLE 1: shows the number of clock ticks taken by the three algorithms for sorting 7. Introduction to Algorithms by Thomas H. Cormen, Charles E. Leiserson, Ronald L.