Algorithms on Graphs
If you have ever used a navigation service to find optimal route and estimate time to destination, you’ve used algorithms on graphs. Graphs arise in various real-world situations as there are road networks, computer networks and, most recently, social networks! If you’re looking for the fastest time to get to work, cheapest way to connect a set of computers into a network or efficient algorithm to automatically find communities and opinion leaders in Facebook, you’re going to work with graphs and algorithms on graphs.In this online course, you will first learn what a graph is and what are some of the most important properties. Then you’ll learn several ways to traverse graphs and how you can do useful things while traversing the graph in some order. We will then talk about shortest paths algorithms — from the basic ones to those which open door for 1000000 times faster algorithms used in Google Maps and other navigational services. You will use these algorithms if you choose to work on our Fast Shortest Routes industrial capstone project. We will finish with minimum spanning trees which are used to plan road, telephone and computer networks and also find applications in clustering and approximate algorithms.
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Syllabus
Syllabus - What you will learn from this course
Week 1
Decomposition of Graphs 1
Week 2
Decomposition of Graphs 2
Week 3
Paths in Graphs 1
Week 4
Paths in Graphs 2
Week 5
Minimum Spanning Trees
Week 6
Advanced Shortest Paths Project (Optional)
FAQ
When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.
Reviews
I got a lot of knowledege about the algorithms on graphs. The assignments will be a little difficulte for beginner of computer programming but for others this course is worth to join.
Professor Daniel Kane is very knowledgeable, I however think the course could have been better presented but the assignments are challenging which is the best part about this course
The content of the course is good and easy to follow. However, I wish the grader's response provided more helpful information (such as conditions of the failed test).
Awesome course! Learned a lot about graphs, and I thought it was super awesome. One recommendation is to make the proof videos more engaging, but otherwise, the course was perfect!
