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# Best of Graph Theory — 2025

1. 1  
[](/posts/the-competitive-programmer-s-introduction-to-graph-theory-2o2kuex2x "The Competitive Programmer's Introduction to Graph Theory")  
Article  
![Avatar of palindrome](https://media.daily.dev/image/upload/t_logo,f_auto/v1/logos/cfdfeb66e965438eb7a539c98ba83494)The Palindrome · 1y  
The Competitive Programmer's Introduction to Graph Theory  
A comprehensive introduction to graph theory fundamentals covering nodes, edges, paths, and cycles. Explains key concepts like connectivity, directed and weighted graphs, trees, node degrees, and graph coloring including bipartite graphs. Includes practical examples with visual illustrations and practice problems to reinforce learning.  
46
2. 2  
[](/posts/representing-graphs-h5burcwko "Representing Graphs")  
Article  
![Avatar of palindrome](https://media.daily.dev/image/upload/t_logo,f_auto/v1/logos/cfdfeb66e965438eb7a539c98ba83494)The Palindrome · 1y  
Representing Graphs  
Explores three fundamental ways to represent graphs in computer programs: edge lists, adjacency matrices, and adjacency lists. Covers how each representation handles directed, undirected, and weighted graphs, analyzing their trade-offs in terms of memory usage and operation efficiency. Edge lists excel for algorithms processing edges sequentially, adjacency matrices provide constant-time edge existence checks but require O(n²) space, while adjacency lists offer the most versatile representation for classic graph algorithms.  
40
3. 3  
[](/posts/xkcd-snake-in-the-box-problem-60kstxoci "xkcd: Snake-in-the-Box Problem")  
Article  
![Avatar of xkcd](https://media.daily.dev/image/upload/s--zNsMTvhb--/f_auto/v1715498259/logos/4VrRlxqwQg7VQrIYvqrOgMM4qHi8kz5G1TI1TCFz27U.png)xkcd · 1y  
xkcd: Snake-in-the-Box Problem  
An xkcd comic exploring the snake-in-the-box problem, a classic computer science challenge involving finding the longest possible path through a hypercube graph without revisiting vertices. The problem combines graph theory, combinatorial optimization, and algorithmic thinking in an accessible visual format.  
37  
2
4. 4  
[](/posts/the-palindrome-library-qqz4jpngx "The Palindrome Library")  
Article  
![Avatar of palindrome](https://media.daily.dev/image/upload/t_logo,f_auto/v1/logos/cfdfeb66e965438eb7a539c98ba83494)The Palindrome · 1y  
The Palindrome Library  
A comprehensive resource library organizing machine learning and mathematics content into categorized sections. Covers fundamental math topics including linear algebra, probability theory, and calculus, along with practical machine learning concepts, neural networks from scratch, and graph theory. The library serves as a curated collection of educational materials for learning the mathematical foundations of machine learning.  
15

[See all Graph Theory archives](/tags/graph-theory/best-of)

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