Learn over 100 JavaScript algorithms and data structures, from basic to advanced. Master the fundamentals of data structures and algorithms and apply them to real-world problems. This repository contains JavaScript based examples of many popular algorithms and data structures.
📘 15+ Best JavaScript Books for Beginners and Experienced Coders
Data Structures
A data structure is a particular way of organizing and storing data in a computer so that it can be accessed and modified efficiently. More precisely, a data structure is a collection of data values, the relationships among them, and the functions or operations that can be applied to the data.
B
- Beginner, A
- Advanced
B
Linked List
B
Doubly Linked List
B
Queue
B
Stack
B
Hash Table
B
Heap
- max and min heap versionsB
Priority Queue
A
Trie
A
Tree
A
Binary Search Tree
A
AVL Tree
A
Red-Black Tree
A
Segment Tree
- with min/max/sum range queries examplesA
Fenwick Tree
(Binary Indexed Tree)A
Graph
(both directed and undirected)A
Disjoint Set
A
Bloom Filter
📕 Top 15 Data Structures and Algorithms Books for Every Developer
Algorithms
An algorithm is an unambiguous specification of how to solve a class of problems. It is a set of rules that precisely define a sequence of operations.
B
- Beginner, A
- Advanced
Math
B
Bit Manipulation
- set/get/update/clear bits, multiplication/division by two, make negative etc.B
Factorial
B
Fibonacci Number
- classic and closed-form versionsB
Primality Test
(trial division method)B
Euclidean Algorithm
- calculate the Greatest Common Divisor (GCD)B
Least Common Multiple (LCM)
B
Sieve of Eratosthenes
- finding all prime numbers up to any given limitB
Is Power of Two
- check if the number is power of two (naive and bitwise algorithms)B
Pascal’s Triangle
B
Complex Number
- complex numbers and basic operations with themB
Radian & Degree
- radians to degree and backwards conversionB
Fast Powering
A
Integer Partition
A
Square Root
- Newton’s methodA
Liu Hui π Algorithm
- approximate π calculations based on N-gonsA
Discrete Fourier Transform
- decompose a function of time (a signal) into the frequencies that make it upSets
B
Cartesian Product
- product of multiple setsB
Fisher–Yates Shuffle
- random permutation of a finite sequenceA
Power Set
- all subsets of a set (bitwise and backtracking solutions)A
Permutations
(with and without repetitions)A
Combinations
(with and without repetitions)A
Longest Common Subsequence (LCS)
A
Longest Increasing Subsequence
A
Shortest Common Supersequence (SCS)
A
Knapsack Problem
- “0/1” and “Unbound” onesA
Maximum Subarray
- “Brute Force” and “Dynamic Programming” (Kadane’s) versionsA
Combination Sum
- find all combinations that form specific sumStrings
B
Hamming Distance
- number of positions at which the symbols are differentA
Levenshtein Distance
- minimum edit distance between two sequencesA
Knuth–Morris–Pratt Algorithm (KMP Algorithm)
- substring search (pattern matching)A
Z Algorithm
- substring search (pattern matching)A
Rabin Karp Algorithm
- substring searchA
Longest Common Substring
A
Regular Expression Matching
Searches
B
Linear Search
B
Jump Search (or Block Search)
- search in sorted arrayB
Binary Search
- search in sorted arrayB
Interpolation Search
- search in uniformly distributed sorted arraySorting
B
Bubble Sort
B
Selection Sort
B
Insertion Sort
B
Heap Sort
B
Merge Sort
B
Quicksort
- in-place and non-in-place implementationsB
Shellsort
B
Counting Sort
B
Radix Sort
Linked Lists
Trees
Graphs
B
Depth-First Search (DFS)
B
Breadth-First Search (BFS)
B
Kruskal’s Algorithm
- finding Minimum Spanning Tree (MST) for weighted undirected graphA
Dijkstra Algorithm
- finding shortest paths to all graph vertices from single vertexA
Bellman-Ford Algorithm
- finding shortest paths to all graph vertices from single vertexA
Floyd-Warshall Algorithm
- find shortest paths between all pairs of verticesA
Detect Cycle
- for both directed and undirected graphs (DFS and Disjoint Set based versions)A
Prim’s Algorithm
- finding Minimum Spanning Tree (MST) for weighted undirected graphA
Topological Sorting
- DFS methodA
Articulation Points
- Tarjan’s algorithm (DFS based)A
Bridges
- DFS based algorithmA
Eulerian Path and Eulerian Circuit
- Fleury’s algorithm - Visit every edge exactly onceA
Hamiltonian Cycle
- Visit every vertex exactly onceA
Strongly Connected Components
- Kosaraju’s algorithmA
Travelling Salesman Problem
- shortest possible route that visits each city and returns to the origin cityCryptography
B
Polynomial Hash
- rolling hash function based on polynomialB
Rail Fence Cipher
- a transposition cipher algorithm for encoding messagesB
Caesar Cipher
- simple substitution cipherB
Hill Cipher
- substitution cipher based on linear algebraMachine Learning
B
NanoNeuron
- 7 simple JS functions that illustrate how machines can actually learn (forward/backward propagation)B
k-NN
- k-nearest neighbors classification algorithmB
k-Means
- k-Means clustering algorithmB
Seam Carving
- content-aware image resizing algorithmUncategorized
B
Tower of Hanoi
B
Square Matrix Rotation
- in-place algorithmB
Jump Game
- backtracking, dynamic programming (top-down + bottom-up) and greedy examplesB
Unique Paths
- backtracking, dynamic programming and Pascal’s Triangle based examplesB
Rain Terraces
- trapping rain water problem (dynamic programming and brute force versions)B
Recursive Staircase
- count the number of ways to reach to the top (4 solutions)A
N-Queens Problem
A
Knight’s Tour
Algorithms by Paradigm
An algorithmic paradigm is a generic method or approach which underlies the design of a class of algorithms. It is an abstraction higher than the notion of an algorithm, just as an algorithm is an abstraction higher than a computer program.
Brute Force
- look at all the possibilities and selects the best solutionB
Linear Search
B
Rain Terraces
- trapping rain water problemB
Recursive Staircase
- count the number of ways to reach to the topA
Maximum Subarray
A
Travelling Salesman Problem
- shortest possible route that visits each city and returns to the origin cityA
Discrete Fourier Transform
- decompose a function of time (a signal) into the frequencies that make it upGreedy
- choose the best option at the current time, without any consideration for the futureB
Jump Game
A
Unbound Knapsack Problem
A
Dijkstra Algorithm
- finding shortest path to all graph verticesA
Prim’s Algorithm
- finding Minimum Spanning Tree (MST) for weighted undirected graphA
Kruskal’s Algorithm
- finding Minimum Spanning Tree (MST) for weighted undirected graphDivide and Conquer
- divide the problem into smaller parts and then solve those partsB
Binary Search
B
Tower of Hanoi
B
Pascal’s Triangle
B
Euclidean Algorithm
- calculate the Greatest Common Divisor (GCD)B
Merge Sort
B
Quicksort
B
Tree Depth-First Search
(DFS)B
Graph Depth-First Search
(DFS)B
Jump Game
B
Fast Powering
A
Permutations
(with and without repetitions)A
Combinations
(with and without repetitions)Dynamic Programming
- build up a solution using previously found sub-solutionsB
Fibonacci Number
B
Jump Game
B
Unique Paths
B
Rain Terraces
- trapping rain water problemB
Recursive Staircase
- count the number of ways to reach to the topA
Levenshtein Distance - minimum edit distance between two sequencesA
Longest Common Subsequence
(LCS)
A
Longest Common Substring
A
Longest Increasing Subsequence
A
Shortest Common Supersequence
A
0/1 Knapsack Problem
A
Integer Partition
A
Maximum Subarray
A
Bellman-Ford Algorithm
- finding shortest path to all graph verticesA
Floyd-Warshall Algorithm
- find shortest paths between all pairs of verticesA
Regular Expression Matching
B
Jump Game
B
Unique Paths
B
Power Set
- all subsets of a setA
Hamiltonian Cycle
- Visit every vertex exactly onceA
N-Queens Problem
A
Knight’s Tour
A
Combination Sum
- find all combinations that form specific sumInstall all dependencies
npm install
Run ESLint
You may want to run it to check code quality.
npm run lint
Run all tests
npm test
Run tests by name
npm test -- 'LinkedList'
Playground
You may play with data-structures and algorithms in ./src/playground/playground.js
file and write tests for it in ./src/playground/__test__/playground.test.js
.
Then just simply run the following command to test if your playground code works as expected:
npm test -- 'playground'
Big O notation is used to classify algorithms according to how their running time or space requirements grow as the input size grows. On the chart below you may find most common orders of growth of algorithms specified in Big O notation.
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Source: Big O Cheat Sheet.
Below is the list of some of the most used Big O notations and their performance comparisons against different sizes of the input data.
#datastructures #algorithms #javascript