If you want to pursue a career in computer science, this program will assist you in laying a solid foundation in this important area. Graph Theory Algorithms (Udemy) is one of the Best Online Graph Theory Courses. Begin by being familiar with the basic terms and ideas. The classes also cover a variety of prominent algorithms, including breadth-first search, topological sort, Bellman-Ford, Floyd-Warshall, and many others. Take a look at our list of the Best Reverse Engineering Courses.

This course will provide you with a thorough understanding of graph theory algorithms in computer science. These videos cover topics such as how to store and represent graphs on a computer, common graph theory problems, famous graph traversal algorithms (DFS & BFS), Dijkstra's shortest path algorithm (both the lazy and eager versions), what a topological sort is, how to find one, and where it's used, learning about detecting negative cycles and finding shortest paths with the Bellman-Ford and Floyd-Warshall algorithms, and discovering bridges and articulati.

Highlights:

• Find out the articulation points and bridges.
• Use Tarjan’s algorithm to detect strong components.
• Loo into a dynamic programming approach for the Travelling Salesman Problem.
• Every section is accompanied by a quiz to check your understanding level.
• Source code is available to see the discussed approaches in action.
• 46 Lectures + Full lifetime access

Duration: 9 hours.
Rating: 4.6 out of 5
Enroll here: https://www.udemy.com/course/graph-theory-algorithms/

If you are completely new to the region and have no prior experience, this course will be ideal for you. The concepts are split down into smaller chunks to make them easier to comprehend, and the complexity of the topics addressed increases over time. Digraphs, trees, coloring, and planar and bipartite graphs are only a few of the topics covered.

Graph Theory is a subject in mathematics that is considered advanced and is one of the Best Online Graph Theory Courses. This topic is often studied by senior students specializing in Mathematics or Computer Science at universities; nevertheless, this course will provide you with a good foundation in Graph Theory in a relatively short amount of time, and without requiring you to have any advanced mathematical experience. The course is structured in such a way that a 12th grader can understand it since it begins with the most fundamental premise of how to make a graph and progresses in complexity with each step. The course is divided into sections, each of which has video lectures in which I explain a few ideas. After each lecture, there are tests (with answers) that allow you to put what you've learned to the test.

Highlights:

• Examples follow theory lessons to demonstrate the application.
• Go over edge and vertex deletion and addition.
• Learn about Kuratowski’s theorem and Euler’s formula.
• Attempt the quizzes at the end of the videos.
• Reach out to the mentor and get answers to your questions.
• 67 Lectures + Full lifetime access

Duration: 10 hours
Rating: 4.6 out of 5
Enroll here: https://www.udemy.com/course/graph-theory

One of the Best Online Graph Theory Courses is Graph Theory and Additive Combinatorics (MIT OpenCourseWare). This course examines the traditional and modern advancements in additive combinatorics and graph theory, as well as their connections. Aside from the basics, you can look at some of the open challenges and do some studying. After you've completed the course, you may browse the website's course collection to learn more about the subject. Remember to go through our list of the Best Research Methods Courses.

Roth's theorem, which states that every subset of 1, 2,... n without a 3-term arithmetic progression includes o(N) items, is a key finding in additive combinatorics. There are two ways to prove Roth's theorem: (1) a graph-theoretic method, and (2) Roth's original Fourier analytic technique. The duality of structure and pseudorandomness is a major principle in both techniques, and it is one of the course's main themes.

• Videos and lecture notes are available for download.
• Check out the instructor's insights sections to get a better idea of the content.
• Complete the set of six assignments to practice along with the curriculum.

Topics:

• Forbidding subgraphs
• Szemerédi’s regularity lemma
• Pseudorandom graphs
• Graph limits
  
• Roth’s theorem
• Structure of set addition
• The sum-product problem

Rating: 4.4 out of 5
Enroll here: https://ocw.mit.edu/courses/18-217-graph-theory-and-additive-combinatorics-fall-2019/

Advanced Algorithmics and Graph Theory with Python (edX) is one of the Best Online Graph Theory Courses. For engineering students, data scientists and analysts, computer enthusiasts, and developers, algorithms, and programming are essential abilities. Learning how to program algorithms might be difficult if you aren't given the chance to put what you've learned into practice right away. You won't only learn theory or memorize a list of techniques, procedures, and concepts in this course. Instead, you'll be given a task in which you must outsmart an algorithm we've created for you by devising your own ingenious answer. To be more explicit, you'll have to plan a route through a maze faster than your opponent while collecting up stuff. You will learn new content each week in order to strengthen your artificial intelligence and defeat your opponent. This approach implies that, as a student, you'll be confronted with a real-world challenge for each abstract concept.

Highlights:

• Develop the intuition to choose among the different approaches to solve a problem.
• Turn your solution into effective Python code.
• Compare potential results in terms of scalability, complexity, and performance.
  
• Look into the territory of combinatorial game theory and winning strategies.
• Attend the sessions for free or go for the verified certification for an additional cost.

Duration: 6 weeks, 2 to 4 hours per week
Rating: 4.4 out of 5

Enroll here: https://www.edx.org/course/advanced-algorithmics-and-graph-theory-with-python