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 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....

創建者 RH

•Nov 17, 2017

Was pretty fun and gave a good intro to graph theory. Definitely felt inspired to go deeper and understood the most basic proof ideas. The later lectures can spike in difficulty though. Very nice!

創建者 PS

•Feb 02, 2019

I wish to thank the professors for having brought this course to Coursera, this topic is absolutely fantastic, and very well presented. I highly recommend it.

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37 個審閱

創建者 Patrizio Simeoni

•Feb 02, 2019

I wish to thank the professors for having brought this course to Coursera, this topic is absolutely fantastic, and very well presented. I highly recommend it.

創建者 Kijin Kim

•Jan 24, 2019

I don't like one lecturer among faculty of it because of sloppy preparation and stuttering . But other lecture material was good like other courses in this specialization.

創建者 Praveen Kumar Rana

•Jan 23, 2019

The course content is good. All exercises and problems are very nice for learning and understanding any concept.

創建者 Tarashankar Bandyopadhyay

•Jan 19, 2019

Excellent course

創建者 Alex Yursha

•Jan 11, 2019

Some explanations could be more detailed. The course jumps over important theorems too fast, so there may not be enough time to internalize knowledge for some. If one wants to understand basics of Graph Theory well, external readings may be required.

創建者 Eugenio López Cortegano

•Jan 06, 2019

The course gives a good overview to understand graphs and the math behind them. However, I expected more and I'm not satisfied with several parts of the course, poorly explained or with vague exercises. Specially the last week. This does not worth 70€ a month

創建者 Arthur Tarso Rego

•Dec 20, 2018

This course is an excellent introduction to Graph Theory. It gives an overview of important topics and have a intuitive approach to the main problems. Also, the exercises are very helpful on memorizing the main concepts and training what you have learned. I strongly recommend this course for a first contact with Graph Theory.

創建者 Bryan W Berry

•Dec 04, 2018

This course was very weak compared to the previous two courses in this series. The concepts are challenging but not very well presented. The quizzes are too easy and do not require you to master the material. The final algorithm problem is laughably easy. However, Dr. Alexander Shen was very responsive to all my questions.

創建者 Joe Liao

•Nov 17, 2018

I really love this course, it can help me to solve problems in life with Graph, stongly recommend this course!

創建者 Saptarshi Manna

•Nov 15, 2018

Liked in depth discussion of graph theory. Being an CS student, I have read graph theory from couple of books. But this course has provided a comprehensive understanding and many real life problems that can be solved using graph theory. Keep up your good work.