What does "Plane Graphs" mean?

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A plane graph is a way to represent points and lines on a flat surface without any lines crossing each other. Imagine drawing a map on a piece of paper where the points are cities and the lines are the roads connecting them. In a plane graph, each road connects two cities without intersecting any other road.

#Features of Plane Graphs

• Closed Loops: Plane graphs often include shapes formed by lines that create closed loops, which can represent areas or regions. Each of these areas can be treated separately for various purposes.

• Local Properties: You can apply different rules or materials to each area defined by the loops, which is useful in fields like engineering, especially when studying how materials behave under stress or heat.

#Applications

Plane graphs are important because they allow for complex arrangements of points and connections while keeping everything neat and organized. This makes them useful for computer simulations and creating detailed models in various scientific and engineering fields.