Graph Coloring Problems
Tommy R. Jensen, Bjarne Toft
Graph Coloring Problems - A book resource
This link may earn us a small commission at no extra cost to you. Affiliate disclosure
More resources on Graph Coloring
Introduction to Graph Theory
We invite you to a fascinating journey into Graph Theory — an area which connects the elegance of painting and the rigor of mathematics; is simple, but not unsophisticated. Graph Theory gives us, both an easy way to pictorially represent many major mathematical results, and insights into the deep theories behind them. In this online course, among other intriguing applications, we will see how GPS systems find shortest routes, how engineers design integrated circuits, how biologists assemble genomes, why a political map can always be colored using a few colors. We will study Ramsey Theory which proves that in a large system, complete disorder is impossible! By the end of the course, we will implement an algorithm which finds an optimal assignment of students to schools. This algorithm, developed by David Gale and Lloyd S. Shapley, was later recognized by the conferral of Nobel Prize in Economics. As prerequisites we assume only basic math (e.g., we expect you to know what is a square or how to add fractions), basic programming in python (functions, loops, recursion), common sense and curiosity. Our intended audience are all people that work or plan to work in IT, starting from motivated high school students.
Wikipedia Graph Coloring
Overview, history, and algorithms
Diestel Graph Theory (free book)
Comprehensive free online textbook with graph coloring chapter
Graph Theory
Learn graph coloring techniques with this course by Tom Leighton. Explore graph theory concepts and applications.
mathworld.wolfram.com
MathWorld is a comprehensive online mathematics encyclopedia from Wolfram Research. It offers in-depth, encyclopedia-style articles on graph theory topics—including Graph Coloring—covering definitions, theorems, algorithms, formulas, figures, and references for further reading.
ocw.mit.edu
MIT OpenCourseWare is a free, public repository of MIT course materials, providing lecture notes, videos, assignments, and exams from a wide range of disciplines. It hosts complete course content you can use to study topics like graph theory and graph coloring at your own pace.