Graph Theory Blog
Deep-dive articles, intuitive explanations, and real-world applications of Graph Theory and Software Engineering concepts.
Graph Algorithms Complexity: The Ultimate Guide
A comprehensive deep dive into the time and space complexity of all major graph algorithms. Learn Big O notation for BFS, DFS, Dijkstra, A*, Kruskal, and more.
BFS vs DFS: The Ultimate Guide to Graph Traversal
A comprehensive comparison between Breadth-First Search and Depth-First Search. Learn when to use each algorithm with real-world examples.
Understanding Shortest Path Algorithms
Master Dijkstra, Bellman-Ford, and Floyd-Warshall. Understand the nuances of finding the fastest route in complex networks.
The Magic of Minimum Spanning Trees
Dive into Kruskal's and Prim's algorithms. Learn how to connect networks with the absolute minimum cost.
Top 5 Real-World Applications of Graph Theory
From Google Maps to Social Networks and DNA sequencing. Discover how graph theory powers the modern world.
Essential Graph Algorithms for Coding Interviews
Crack the technical interview. A curated guide to the graph theory concepts you absolutely must know for FAANG interviews.
The Traveling Salesperson Problem (TSP)
Explore one of computer science's most famous unsolved problems. Learn about heuristics, exact algorithms, and its vast applications.
The Vehicle Routing Problem (VRP)
How Amazon and FedEx deliver packages. A deep dive into the algorithms powering modern logistics and supply chains.
A* Search Algorithm: Pathfinding in AI
The gold standard for pathfinding in video games and robotics. Learn how heuristics make A* vastly superior to standard Dijkstra.
The Graph Coloring Problem: From Maps to Sudoku
How do you schedule exams without conflicts? Discover how coloring graphs solves complex allocation and scheduling problems.
Practical Software Engineering Concepts
See how Graph Theory underpins build systems, garbage collection, version control (Git), and database deadlocks.
Network Flow and The Max-Flow Min-Cut Theorem
Understand Ford-Fulkerson, Edmonds-Karp, residual graphs, and the beautiful symmetry between finding max flow and minimum cuts.
The History of Graph Theory
From Königsberg to Neural Networks. Discover the fascinating history of graph theory, from Euler's Seven Bridges to modern network science.
Top Graph Theory Interview Questions & Solutions
Master the technical interview with our guide to the most common graph theory questions, from Number of Islands to Topological Sort.
Eulerian Paths and Circuits
Can you cross every bridge exactly once? Euler's 1736 answer launched graph theory. Learn the odd-degree rule plus Fleury's and Hierholzer's algorithms.
Rooted Trees in Graph Theory
Root, parent, child, leaf, depth and height, plus binary trees, BSTs and DFS/BFS traversal. The hierarchy behind file systems and the DOM.
Spectral Graph Theory in Machine Learning
The graph Laplacian, eigenvalues and the Fiedler vector, spectral clustering, Laplacian eigenmaps and spectral GNNs (ChebNet, GCN), the linear algebra behind modern ML on graphs.
Graph Neural Networks: A Practical Introduction
Message passing and neighbourhood aggregation, how a GNN layer works, the GCN, GraphSAGE, GAT and GIN architectures, the three prediction tasks, and real-world applications.
What Is Operations Research? Methods & Applications
The science of better decisions. Its wartime history, core methods like linear programming and simulation, and how OR optimizes logistics, airlines, healthcare, and energy.