Insights & Education

Graph Theory Blog

Deep-dive articles, intuitive explanations, and real-world applications of Graph Theory and Software Engineering concepts.

Graph Traversal

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.

15 Min Read Read Article →
Pathfinding

Understanding Shortest Path Algorithms

Master Dijkstra, Bellman-Ford, and Floyd-Warshall. Understand the nuances of finding the fastest route in complex networks.

20 Min Read Read Article →
Network Design

The Magic of Minimum Spanning Trees

Dive into Kruskal's and Prim's algorithms. Learn how to connect networks with the absolute minimum cost.

18 Min Read Read Article →
Real World

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.

12 Min Read Read Article →
Career

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.

25 Min Read Read Article →
NP-Hard Problems

The Traveling Salesperson Problem (TSP)

Explore one of computer science's most famous unsolved problems. Learn about heuristics, exact algorithms, and its vast applications.

20 Min Read Read Article →
Logistics

The Vehicle Routing Problem (VRP)

How Amazon and FedEx deliver packages. A deep dive into the algorithms powering modern logistics and supply chains.

22 Min Read Read Article →
Artificial Intelligence

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.

18 Min Read Read Article →
Scheduling & Allocation

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.

16 Min Read Read Article →
Systems Design

Practical Software Engineering Concepts

See how Graph Theory underpins build systems, garbage collection, version control (Git), and database deadlocks.

25 Min Read Read Article →
Advanced Algorithms

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.

18 Min Read Read Article →
Mathematics History

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.

22 Min Read Read Article →
Career & Interview Prep

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.

25 Min Read Read Article →