Design & Analysis of Algorithms - Vol 1 | 12. Insertion Sort by Abraham | Learn Smarter
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12. Insertion Sort

12. Insertion Sort

The chapter focuses on the insertion sort algorithm, providing a detailed examination of its mechanics and implementation. It describes how elements are inserted into a sorted segment of the array and discusses the performance characteristics of the algorithm in various scenarios. Furthermore, it contrasts insertion sort with selection sort and highlights its efficiency, particularly in the case of nearly sorted data.

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  1. 12.1
    Insertion Sort

    Insertion Sort is a straightforward sorting algorithm that builds a sorted...

  2. 12.1.1
    Introduction To Insertion Sort

    Insertion Sort is a fundamental sorting algorithm that builds a sorted array...

  3. 12.1.2
    Insertion Process

    This section introduces the insertion sort algorithm, explaining its process...

  4. 12.1.3
    Iterative Implementation

    This section discusses the iterative implementation of the Insertion Sort...

  5. 12.1.4
    Example Of Insertion Sort

    Insertion Sort is a simple and intuitive sorting algorithm that builds a...

  6. 12.1.5
    Recursive Formulation

    This section explores the insertion sort algorithm, focusing on its...

  7. 12.1.6
    Recursion Analysis

    This section discusses the Insertion Sort algorithm, its mechanics, and the...

  8. 12.1.7
    Comparative Performance Of Sorting Algorithms

    This section explores the insertion sort algorithm, comparing its efficiency...

What we have learnt

  • Insertion sort involves taking elements from an unsorted segment and inserting them into their correct positions in a sorted segment.
  • The algorithm has a time complexity of O(n^2) for average and worst-case scenarios.
  • Insertion sort can perform well on nearly sorted data, behaving closer to linear time in those conditions.

Key Concepts

-- Insertion Sort
A sorting algorithm that builds a sorted sequence by repeatedly inserting the next unsorted element into its correct position within the already sorted sequence.
-- Time Complexity
A computational complexity that describes the amount of time it takes to run an algorithm as a function of the length of the input.
-- Recursive Algorithm
An algorithm that solves a problem by reducing it to smaller instances of the same problem.
-- Iterative Implementation
A method of performing an operation using a loop construct, rather than through a recursive function call.

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