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 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.
提供方
加州大学圣地亚哥分校
国立高等经济大学
课程信息
60,380 次近期查看
学生职业成果
30%
完成这些课程后已开始新的职业生涯
24%
通过此课程获得实实在在的工作福利
15%
加薪或升职
您将获得的技能
Graph TheoryGraphsGraph Algorithms
学生职业成果
30%
完成这些课程后已开始新的职业生涯
24%
通过此课程获得实实在在的工作福利
15%
加薪或升职
100% 在线
立即开始，按照自己的计划学习。
第 3 门课程（共 6 门）
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中级
完成时间大约为16 小时
建议：5 weeks of study, 3-4 hours/week
英语（English）
字幕：英语（English）
教学大纲 - 您将从这门课程中学到什么
完成时间为 4 小时
Decomposition of Graphs 1
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 set of computers into a network or efficient algorithm to automatically find communities and opinion leaders hot in Facebook, you're going to work with graphs and algorithms on graphs. In this module, you will learn ways to represent a graph as well as basic algorithms for decomposing graphs into parts. In the programming assignment of this module, you will apply the algorithms that you’ve learned to implement efficient programs for exploring mazes, analyzing Computer Science curriculum, and analyzing road networks. In the first week of the module, we focus on undirected graphs.
完成时间为 4 小时
5 个视频 （总计 43 分钟）, 3 个阅读材料, 1 个测验
5 个视频
Graph Basics4分钟
Representing Graphs9分钟
Exploring Graphs14分钟
Connectivity5分钟
Previsit and Postvisit Orderings7分钟
3 个阅读材料
Welcome10分钟
Slides and External References10分钟
Slides and External References10分钟
完成时间为 4 小时
Decomposition of Graphs 2
This week we continue to study graph decomposition algorithms, but now for directed graphs.
完成时间为 4 小时
4 个视频 （总计 36 分钟）, 1 个阅读材料, 1 个测验
4 个视频
Topological Sort9分钟
Strongly Connected Components7分钟
Computing Strongly Connected Components10分钟
1 个阅读材料
Slides and External References10分钟
完成时间为 4 小时
Paths in Graphs 1
In this module you will study algorithms for finding Shortest Paths in Graphs. These algorithms have lots of applications. When you launch a navigation app on your smartphone like Google Maps or Yandex.Navi, it uses these algorithms to find you the fastest route from work to home, from home to school, etc. When you search for airplane tickets, these algorithms are used to find a route with the minimum number of plane changes. Unexpectedly, these algorithms can also be used to determine the optimal way to do currency exchange, sometimes allowing to earh huge profit! We will cover all these applications, and you will learn Breadth-First Search, Dijkstra's Algorithm and Bellman-Ford Algorithm. These algorithms are efficient and lay the foundation for even more efficient algorithms which you will learn and implement in the Shortest Paths Capstone Project to find best routes on real maps of cities and countries, find distances between people in Social Networks. In the end you will be able to find Shortest Paths efficiently in any Graph. This week we will study Breadth-First Search algorithm.
完成时间为 4 小时
8 个视频 （总计 55 分钟）, 1 个阅读材料, 1 个测验
8 个视频
Breadth-First Search7分钟
Breadth-First Search (continued)6分钟
Implementation and Analysis9分钟
Proof of Correctness7分钟
Proof of Correctness (continued)5分钟
Shortest-Path Tree6分钟
Reconstructing the Shortest Path3分钟
1 个阅读材料
Slides and External References10分钟
完成时间为 5 小时
Paths in Graphs 2
This week we continue to study Shortest Paths in Graphs. You will learn Dijkstra's Algorithm which can be applied to find the shortest route home from work. You will also learn Bellman-Ford's algorithm which can unexpectedly be applied to choose the optimal way of exchanging currencies. By the end you will be able to find shortest paths efficiently in any Graph.
完成时间为 5 小时
12 个视频 （总计 86 分钟）, 2 个阅读材料, 1 个测验
12 个视频
Naive Algorithm10分钟
Dijkstra's Algorithm: Intuition and Example7分钟
Dijkstra's Algorithm: Implementation3分钟
Dijkstra's Algorithm: Proof of Correctness4分钟
Dijkstra's Algorithm: Running Time7分钟
Currency Exchange6分钟
Currency Exchange: Reduction to Shortest Paths8分钟
Bellman-Ford Algorithm6分钟
Bellman-Ford Algorithm: Proof of Correctness6分钟
Negative Cycles7分钟
Infinite Arbitrage10分钟
2 个阅读材料
Slides and External References10分钟
Slides and External References10分钟
审阅
4.7
来自ALGORITHMS ON GRAPHS的热门评论
由 CS 提供Jun 30, 2019
Excellent Course for anyone looking to expertise Graph Algorithm. Professor's explained each problem and algorithm in a very easy to learn approach. Grades are tough and yet func to get challenged.
由 CC 提供Oct 6, 2018
Good balance between theory and practice. The assignments are well thought to measure the understanding of videos, which I had to watch many times to grasp the hidden tips from the instructor.
由 MM 提供Mar 28, 2020
An awesome overview of the graph algorithms. Some assignments are really challenging, but luckily forums are a great place where people have already faced them. A definitive recommendation!
由 CM 提供Mar 6, 2017
Overall good course, programming tasks are fun!\n\nHowever, some of the video lectures are only of average quality. Accent of the TA is sometimes confusing (fyi I'm not a native speaker).
由 SK 提供Apr 23, 2018
This course is very much helpful for the graph beginners. As a suggestion, i would like to say that add some extra contents on the data structures which is to be used in the algorithm.
由 GS 提供Dec 2, 2019
very well planned course and fairly challenging assignments. Would recommend this to anyone working as developer who does not have formal education in data structures and algorithms.
由 DP 提供Nov 7, 2019
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!
由 ZH 提供Jan 5, 2017
Very interesting and well presented course. I particularly wanted to learn more on graphs and this helped me get not only a basic but a more advanced understanding.
由 AN 提供Feb 27, 2017
Fairly good course. I wish the edge cases for some of the programming assignments had some more discussions. Needed some sifting through the forums while stuck.
由 NG 提供Jun 27, 2019
Loved the explanations and proofs. They are so explicitly told. And the discussion forum for you well assorted problems in assignment is really helpful.
由 EM 提供Sep 22, 2017
Great!\n\nHard concepts explained clearly and in depth, in the same fashion as the previous two courses (Algo Toolbox and Data Structure).\n\nGood job!
由 AM 提供Apr 2, 2017
Great content! And explained very well. I was asked a question on graphs in my amazon interview. Wish I had taken the course earlier. Thanks!
关于 加州大学圣地亚哥分校
UC San Diego is an academic powerhouse and economic engine, recognized as one of the top 10 public universities by U.S. News and World Report. Innovation is central to who we are and what we do. Here, students learn that knowledge isn't just acquired in the classroom—life is their laboratory.
关于 国立高等经济大学
National Research University - Higher School of Economics (HSE) is one of the top research universities in Russia. Established in 1992 to promote new research and teaching in economics and related disciplines, it now offers programs at all levels of university education across an extraordinary range of fields of study including business, sociology, cultural studies, philosophy, political science, international relations, law, Asian studies, media and communicamathematics, engineering, and more.
Learn more on www.hse.ru
关于 数据结构与算法 专项课程
This specialization is a mix of theory and practice: you will learn algorithmic techniques for solving various computational problems and will implement about 100 algorithmic coding problems in a programming language of your choice. No other online course in Algorithms even comes close to offering you a wealth of programming challenges that you may face at your next job interview. To prepare you, we invested over 3000 hours into designing our challenges as an alternative to multiple choice questions that you usually find in MOOCs. Sorry, we do not believe in multiple choice questions when it comes to learning algorithms...or anything else in computer science! For each algorithm you develop and implement, we designed multiple tests to check its correctness and running time — you will have to debug your programs without even knowing what these tests are! It may sound difficult, but we believe it is the only way to truly understand how the algorithms work and to master the art of programming. The specialization contains two real-world projects: Big Networks and Genome Assembly. You will analyze both road networks and social networks and will learn how to compute the shortest route between New York and San Francisco (1000 times faster than the standard shortest path algorithms!) Afterwards, you will learn how to assemble genomes from millions of short fragments of DNA and how assembly algorithms fuel recent developments in personalized medicine.
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