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Introduction to Graph Theory

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Take this course as a part of Introduction to Discrete Mathematics for Computer Science and save 10% off. (Get details)

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.

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University of California San Diego

Rating 4.6 based on 18 ratings
Length 6 weeks
Effort 5 weeks, 3-5 hours/week
Starts Feb 18 (5 weeks ago)
Cost $79
From University of California San Diego, National Research University Higher School of Economics via Coursera
Instructor Alexander S. Kulikov
Download Videos On all desktop and mobile devices
Language English
Subjects Programming Mathematics
Tags Computer Science Algorithms Math And Logic

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What people are saying

We analyzed reviews for this course to surface learners' thoughts about it

definitely felt inspired in one review

Definitely felt inspired to go deeper and understood the most basic proof ideas.

after school students in one review

Superb, very accessible to laymen 很好,很清楚 I have been reading and buying books on Graph Theory in the hopes of finding some interesting insights I could bring to my after school students.

build physical objects in one review

We like to make build physical objects as a starting off point for study.

first four weeks in one review

I like the first four weeks' courses, while I feel the last week's course is not clear presented, which changes the instructor.

someone has interest in one review

If someone has interest in graph theory or he wants to learn it, then this course is definitely a good start.

alex shen in one review

Alex Shen's manner of speaking is difficult to understand, but I enjoyed and learned from the material anyway.

Careers

An overview of related careers and their average salaries in the US. Bars indicate income percentile.

ADJUNCT - Applied Trumpet, Horn, and Theory $15k

Music Theory and Academic Advising $39k

Math and Music Theory Specialist $52k

Vocal and Music Theory Instructor / Ensemble Dept. Head $56k

Clinical & Theory Instructor $56k

Customer Graph Digital Data Scientist $61k

Theory-seasonal sales Manager $69k

Graph Database Developer $76k

Associate Professor of Bassoon and Music Theory $88k

Scientist - Modeling and Theory $90k

Graph Database Engineer $103k

Assistant Professor of Music Composition and Theory $138k

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Coursera

&

University of California San Diego

Rating 4.6 based on 18 ratings
Length 6 weeks
Effort 5 weeks, 3-5 hours/week
Starts Feb 18 (5 weeks ago)
Cost $79
From University of California San Diego, National Research University Higher School of Economics via Coursera
Instructor Alexander S. Kulikov
Download Videos On all desktop and mobile devices
Language English
Subjects Programming Mathematics
Tags Computer Science Algorithms Math And Logic

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