nptel.ac.in
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NPTEL (National Programme on Technology Enhanced Learning) is an Indian online learning platform offering IIT/IISc-developed engineering and science courses, with a large library of free video lectures and course materials. It provides transcripts, assignments, quizzes, and optional certificates, including courses on graph theory and related topics.
More resources on Graphs and Digraphs
Graph Theory Tutorials
Comprehensive graph theory resources
Diestel's Graph Theory
Free online textbook on graph theory including digraphs
Graph Theory and Additive Combinatorics
Explore graph theory and additive combinatorics! This course covers key concepts and applications in graphs & digraphs.
Graph Theory
Learn graph theory with Prof. Jaillet's MIT course! Explore graphs and digraphs with clear explanations & examples.
mathworld.wolfram.com
MathWorld is an extensive online mathematics encyclopedia by Wolfram Research. It offers detailed, rigorously written articles on graph theory topics—including graphs and digraphs—covering definitions, theorems, examples, and diagrams.
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.