Fundamental Algorithms Every Computer Science Student Should Know

From sorting and searching to graph and machine learning algorithms, we’ll explore each algorithm and its use cases.

Common algorithms in DSA

Algorithms are essential tools for solving problems in computer science and related fields. They are the building blocks of software development and play a crucial role in the performance and efficiency of software systems.

In this beginner-friendly tutorial, we’ll introduce you to the most common algorithms used in programming, including sorting, searching, graph algorithms, and machine learning. We’ll explain each algorithm’s purpose and provide examples to help you get started.

By the end of this post, you’ll have a solid understanding of these fundamental algorithms and be better equipped to tackle programming challenges.

Sorting Algorithms

Sorting algorithms are used to arrange data in a particular order. There are many sorting algorithms, but some of the most common are:

Bubble Sort

Bubble sort is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements, and swaps them if they are in the wrong order.

Selection Sort

Selection sort is a simple sorting algorithm that sorts an array by repeatedly finding the minimum element from the unsorted part of the array and putting it at the beginning.

Insertion Sort

Insertion sort is a simple sorting algorithm that builds the final sorted array one item at a time. It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.

Quick Sort

Quick Sort is a widely used sorting algorithm that uses a divide-and-conquer approach. It picks an element as a pivot and partitions the array around the pivot.

Searching Algorithms

Searching algorithms are used to find a specific value or element in a collection of data. Some of the most common search algorithms are:

Linear Search

Linear search is a simple searching algorithm that searches for an element by checking each element in the list in order until it is found.

Binary Search

Binary search is a search algorithm that is used to search a sorted array by repeatedly dividing the search interval in half.

Graph Algorithms

Graph algorithms are used to solve problems related to graphs, which are a collection of vertices or nodes and edges that connect them. Some of the most common graph algorithms are:

Breadth-First Search

Breadth-first search is a graph traversal algorithm that starts at the root node and explores all the neighboring nodes at the current depth before moving on to the next level.

Depth-First Search

Depth-first search is a graph traversal algorithm that starts at the root node and explores as far as possible along each branch before backtracking.

Dijkstra’s Algorithm

Dijkstra’s algorithm is a shortest path algorithm that finds the shortest path between a source node and all other nodes in a graph.

Dynamic Programming Algorithms

Dynamic programming algorithms are used to solve problems by breaking them down into smaller subproblems and recursively solving them. Some of the most common dynamic programming algorithms are:

Fibonacci Series

The Fibonacci series is a sequence of numbers in which each number is the sum of the two preceding ones. It is a classic example of a dynamic programming problem.

Knapsack Problem

The knapsack problem is a problem in combinatorial optimization that is used to find the maximum value that can be obtained by filling a knapsack with a certain weight limit.

Machine Learning Algorithms

Machine learning algorithms are used to analyze data and make predictions or decisions based on that data. Some of the most common machine learning algorithms are:

Linear Regression

Linear regression is a statistical method that is used to model the relationship between two variables by fitting a linear equation to the data.

Logistic Regression

Logistic regression is a statistical method that is used to analyze the relationship between a dependent variable and one or more independent variables.

Decision Trees

Decision trees are a type of supervised learning algorithm that is used for classification and regression analysis.


In conclusion, understanding these common algorithms can help you write efficient and performant code. While this list is not exhaustive, it is a good starting point for software developers looking to improve their algorithmic skills.

Remember that there are always trade-offs when selecting an algorithm for a particular problem, and choosing the right one requires careful analysis of the problem’s characteristics and requirements.