Planar Graphs

Planar graphs are a type of graph in graph theory that can be drawn on a plane without any edges crossing each other. They are used to model relationships in a way that avoids intersections, such as in circuit design, map coloring, and network topology. This concept is fundamental in discrete mathematics and computer science for solving problems related to layout and connectivity.

Also known as: Planar Graph, Planar Network, Non-crossing Graph, Embeddable Graph, Plane Graph

Why learn Planar Graphs?

Developers should learn about planar graphs when working on algorithms for graph drawing, VLSI design, or geographic information systems (GIS) where non-intersecting layouts are crucial. It's also essential for understanding the Four Color Theorem in map coloring and for optimizing network designs to minimize crossings in visualizations or physical circuits.

Learning Resources

• docs: Planar Graphs on Wikipedia
• course: Introduction to Graph Theory by MIT OpenCourseWare
• tutorial: Planar Graphs Tutorial on GeeksforGeeks
• book: Graph Theory Book by Reinhard Diestel
• video: Planar Graphs Explained on YouTube