What will I learn?
The online basic graph theory course (in its free or paid mode), Applications of Graph Theory to Real Life (I) from the Universitat Politècnica de València, teaches you the basic concepts and properties of graphs, as well as the most important techniques and algorithms for working with them. You will learn to model problems using graphs, to analyze and solve optimization problems, and to apply specific algorithms to solve practical problems in areas such as logistics, telecommunications, and biology.
This course is aimed at anyone who wants to acquire or improve their knowledge of graph theory, whether for personal interest or academic or professional needs. Graph Theory is a powerful tool for modeling and solving problems in a wide variety of fields, from logistics and route planning to social network optimization and molecular biology. With this course, you will have the opportunity to explore how this theory is applied in everyday and challenging real-life situations. The course has a rigorous and didactic approach, combining clear and detailed explanations with examples and activities that will help you consolidate your learning.
This course is available on the edX platform, one of the most prestigious in the world for online education, founded by MIT and Harvard University. It can be taken entirely for free or by paying a small fee.
Contents of the online basic graph theory course, Applications of Graph Theory to Real Life (I)
The course is divided into the following units
- Introduction to graph theory. You will learn to define and classify graphs, represent them using adjacency matrices or lists, and calculate their basic parameters, such as order, size, degree, distance, or diameter.
- Special types of graphs. You will learn to recognize and characterize special types of graphs, such as regular graphs, complete graphs, bipartite graphs, planar graphs, Eulerian graphs, or Hamiltonian graphs.
- Paths and cycles. You will learn to define and find paths and cycles in a graph, to use Euler’s theorem to determine if a graph is Eulerian, and to use Ore’s theorem or Dirac’s theorem to determine if a graph is Hamiltonian.
- Trees and connected graphs. You will learn to define and identify trees and forests in a graph, to calculate their height, depth, and branching degree, and to use Cayley’s theorem to count the number of possible trees. You will also learn to define and determine the connectivity of a graph, and to use Kruskal’s algorithm or Prim’s algorithm to find the minimum spanning tree of a weighted graph.
Free or paid basic graph theory course
The course has two modalities: free and paid. The free mode of the basic graph theory course allows you to access all course content, including videos, readings, exercises, and discussion forums.
The paid modality also offers you the possibility of obtaining a verified edX certificate, which accredits your participation and completion of the course. This certificate can be of great value to your curriculum vitae, as it demonstrates your interest and competence in graph theory and its applications. Furthermore, by paying for the course, you will be contributing to ensuring that the Universitat Politècnica de València and edX can continue to offer high-quality courses that are accessible to everyone. If you want to know more about the cost and benefits of this modality, I invite you to visit the course page on edX, where you will find all the information you need.
In conclusion, the online basic graph theory course (in its free or paid mode), Applications of Graph Theory to Real Life (I), is an excellent opportunity to learn or review essential concepts and techniques of graph theory, and to apply them to modeling and solving real-world problems. Do not hesitate any longer and register for the course now. You will not regret it!
