Programming Algorithms

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This book is no longer available for sale.

Programming Algorithms

A comprehensive guide to writing efficient programs with examples in Lisp

About the Book

About the Author

Vsevolod Domkin
Vsevolod Domkin

Hi, I'm Vsevolod Dyomkin (or Domkin according to the passport) from Kyiv, Ukraine.

I'm a Lisp programmer and enthusiast, a Natural Language Processing researcher, an occasional writer/blogger, and a teacher.

You can find some more relevant information at http://vseloved.github.io/

Table of Contents

  •  
    • Introduction
      • Why Algorithms Matter
      • A Few Words about Lisp
    • Algorithmic Complexity
    • A Crash Course in Lisp
      • The Core of Lisp
      • A Code Example
      • The REPL
      • Basic Expressions
        • Sequential Execution
        • Branching
        • Looping
        • Procedures and Variables
        • Comments
      • Getting Started
  • Essential Data Structures
    • 1 Data Structures
      • Data Structures vs Algorithms
      • The Data Structure Concept
      • Contiguous and Linked Data Structures
      • Tuples
      • Passing Data Structures in Function Calls
      • Structs in Action: Union-Find
      • Take-Aways
    • 2 Arrays
      • Arrays as Sequences
      • Dynamic Vectors
      • Why Are Arrays Indexed from 0
      • Multi-Dimensional Arrays
      • Binary Search
        • Binary Search in Action: a Fast Specialized In-Memory DB
      • Sorting
        • O(n^2) Sorting
        • Quicksort
        • Production Sort
        • Performance Benchmark
      • Take-Aways
    • 3 Linked Lists
      • Lists as Sequences
      • Lists as Functional Data Structures
      • Different Kinds of Lists
      • FIFO & LIFO
        • Queue
        • Stack
        • Deque
        • Stacks in Action: SAX Parsing
      • Lists as Sets
      • Merge Sort
        • Parallelization of Merge Sort
      • Lists and Lisp
      • Take-Aways
    • 4 Key-Values
      • Concrete Key-values
        • Simple Arrays
        • Associative Lists
        • Hash-Tables
        • Structs
        • Trees
      • Operations
      • Memoization
        • Memoization in Action: Transposition Tables
      • Cache Invalidation
        • Second Chance and Clock Algorithms
        • LFU
        • LRU
      • Low-Level Caching
      • Take-Aways
  • Derivative Data Structures
    • 5 Hash-Tables
      • Implementation
        • Dealing with Collisions
        • Hash-Code
        • Advanced Hashing Techniques
      • Hash-Functions
      • Operations
        • Initialization
        • Access
        • Iteration
      • Perfect Hashing
        • Implementation
        • The CHM92 Algorithm
      • Distributed Hash-Tables
      • Hashing in Action: Content Addressing
      • Take-Aways
    • 6 Trees
      • Implementation Variants
      • Tree Traversal
      • Binary Search Trees
      • Splay Trees
        • Complexity Analysis
      • Red-Black and AVL Trees
      • B-Trees
      • Heaps
      • Tries
      • Trees in Action: Efficient Mapping
      • Take-Aways
    • 7 Graphs
      • Graph Representations
      • Topological Sort
      • MST
        • Prim’s Algorithm
        • Kruskal’s Algorithm
      • Pathfinding
        • Dijkstra’s Algorithm
        • A* Algorithm
      • Maximum Flow
      • Graphs in Action: PageRank
        • Implementation
      • Take-Aways
    • 8 Strings
      • Basic String-Related Optimizations
      • Strings in the Editor
      • Substring Search
        • Knuth-Morris-Pratt (KMP)
        • Boyer-Moore (BM)
        • Rabin-Karp (RK)
        • Aho-Corasick (AC)
      • Regular Expressions
        • Implementation of the Thompson’s Construction
      • Grammars
      • String Search in Action: Plagiarism Detection
      • Take-aways
  • Selected Algorithms
    • 9 Dynamic Programming
      • Fibonacci Numbers
      • String Segmentation
      • Text Justification
      • Pathfinding Revisited
      • LCS and Diff
      • DP in Action: Backprop
      • Take-aways
    • 10 Approximation
      • Combinatorial Optimization
      • Local Search
      • Evolutionary Algorithms
      • Branch & Bound
      • Gradient Descent
        • Improving GD
      • Sampling
      • Matrix Factorization
        • Singular Value Decomposition
      • Fourier Transform
        • Fourier Transform in Action: JPEG
      • Take-Aways
    • 11 Compression
      • Encoding
      • Base64
      • Lossless Compression
      • Huffman Coding
        • Huffman Coding in Action: Dictionary Optimization
      • Arithmetic Coding
      • DEFLATE
      • Take-Aways
    • 12 Synchronization
      • Synchronization Troubles
      • Low-Level Synchronization
      • Mutual Exclusion Algorithms
      • High-Level Synchronization
        • Lock-Free Data Structures
        • Data-Parallelism and Message Passing
        • STM
      • Distributed Computations
        • Distributed Algorithms
        • Distributed Data Structures
        • Distributed Algorithms in Action: Collaborative Editing
      • Persistent Data Structures
      • Take-Aways
    • Afterword
      • Acknowledgments
  • Notes

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