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Introduction to Graph Theory, 加州大学圣地亚哥分校

4.6
212 个评分
47 个审阅

课程信息

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....

热门审阅

创建者 SU

Feb 28, 2019

Appreciate the structure and the explanations with examples. The practice tool before every lesson not makes it fun to learn but also sets the student in the context and can anticipate the concept.

创建者 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!

筛选依据:

45 个审阅

创建者 Kartikey gupta

Apr 09, 2019

It was really good experiencing the different way of learning everything explained so properly all doubt are clear and the quiz and puzzle really helpfull

创建者 Mohammed Abrar Ahmed

Apr 04, 2019

easy n usefull

创建者 Himanshu Jain

Apr 01, 2019

excellent explanation to the topics covered

创建者 M UDAY KIRAN REDDY

Mar 20, 2019

nice course

创建者 D V S SUMANTH REDDY

Mar 16, 2019

NICE COURSE

创建者 Robert Nowell

Mar 11, 2019

Unfortunately, several of the lectures were challenging to follow, and I found this course to be relatively less valuable compared to previous courses in the intro to discrete math specialization. Also, the examinations were fairly trivial to complete even without watching the lectures. Thus, the worst of both worlds: lectures that did not help me to learn paired with examinations that did not require mastery of the material.

创建者 Wan Hong Lau

Mar 10, 2019

The lecturer well explained the course materials. But the assignments are too easy to complete, it does not tease your brain as exercise, and the week 5 is a bit hard to follow

创建者 Sivakrishna Uppalamethi

Feb 28, 2019

Appreciate the structure and the explanations with examples. The practice tool before every lesson not makes it fun to learn but also sets the student in the context and can anticipate the concept.

创建者 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.

创建者 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.