Graph Theory – Theory

Welcome to the exciting world of graph theory! Don’t worry if the name sounds intimidating – at its heart, it’s all about representing relationships between things using points (nodes or vertices) and lines (edges). Think social networks, road maps, or even the connections in a computer network. This section will gently guide you through the fundamental concepts, providing a solid base for understanding and applying graph theory in various contexts. Let’s explore these fascinating structures together!

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Understanding Topological Sort A Practical Guide for Developers

#algorithms#graphs#data structures#topological sort#dag#computer science#python#bfs#dfs

Delve into the world of Topological Sort. Learn what it is, why it's crucial for dependency management, and how to implement it using both Kahn's (BFS) and DFS-based algorithms, with practical Python examples.

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June 18, 2025

Understanding Breadth-First Search (BFS) for Developers

#Algorithms#Data Structures#Graph Theory#BFS#Python#Computer Science

Dive deep into Breadth-First Search (BFS), a fundamental graph traversal algorithm. Learn how it works, its core applications like shortest paths in unweighted graphs, and see practical Python examples for graph traversal and maze solving.

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June 18, 2025

Understanding Articulation Points in Graphs

#Graph Theory#Algorithms#Data Structures#DFS#Articulation Points#Cut Vertices#Computer Science

Dive deep into articulation points (cut vertices) in graph theory. Learn what they are, why they matter, and how to find them efficiently using a practical, code-driven approach.

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June 18, 2025

Understanding and Using Bridges for Developers

#Networking#Linux#DevOps#Virtualization#Containers#CLI

Dive deep into network bridges, a fundamental concept for virtualization, containerization, and network management. Learn how to create, configure, and troubleshoot them with practical Linux examples.

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June 18, 2025

Tackling the Travelling Salesman Problem - A Developers Practical Guide

#Algorithms#Optimization#Graph Theory#NP-hard#Python#Heuristics#OR-Tools

Dive deep into the Travelling Salesman Problem (TSP), exploring its NP-hard nature, exact solutions for small instances, and pragmatic heuristic approaches for larger datasets. Includes concrete Python examples and insights into real-world tools.

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June 18, 2025

Strongly Connected Components - What They Are and How to Find Them

#Algorithms#Graph Theory#Data Structures#Python#Computer Science#Directed Graphs

Dive deep into Strongly Connected Components (SCCs) in directed graphs. Learn why they matter for dependency analysis, network understanding, and more. Includes a detailed walkthrough of Kosaraju's algorithm with runnable Python code and outputs.

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June 18, 2025

Navigating Networks Understanding Shortest Path Algorithms (Dijkstra, Bellman-Ford, Floyd-Warshall)

#Algorithms#Graphs#Data Structures#Python#Computer Science#Optimization

Dive deep into the essential shortest path algorithms: Dijkstra, Bellman-Ford, and Floyd-Warshall. Learn their mechanics, use cases, complexity, and see practical Python implementations with examples for different graph scenarios, including negative weights and cycles.

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June 18, 2025

Minimum Spanning Tree (Prims and Kruskals) A Deep Dive for Devs

#Algorithms#Data Structures#Graphs#Prim's#Kruskal's#MST#Python#Code Examples

Understand Minimum Spanning Trees (MST) and master two fundamental algorithms to find them: Prim's and Kruskal's. We'll explore their mechanics, practical applications, and see them in action with detailed Python examples.

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June 18, 2025

Depth First Search (DFS) Diving Deep into Graph Traversal

#Algorithms#Data Structures#Graph Theory#DFS#Python#Computer Science

A comprehensive guide to Depth First Search (DFS), a fundamental graph traversal algorithm. Learn its mechanics, recursive and iterative implementations, practical applications, and complexity analysis with runnable Python examples.

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June 18, 2025