In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it …

A planar graph is a type of mathematical graph that can be drawn on a flat surface (such as a piece of paper) without any of its edges crossing over one another.

Jun 13, 2025 · Planar graphs are used to model and design communication networks, such as telephone and computer networks. The graph represents the network topology, with vertices …

Mar 18, 2024 · A planar graph is the one we can draw on the plane so that its edges don’t cross (except at nodes). A graph drawn in that way is also also known as a planar embedding or a …

Jun 28, 2025 · A planar graph is a graph that can be embedded in the plane such that no edges intersect except at their endpoints. In other words, it can be drawn on a flat surface without …

When a connected graph can be drawn without any edges crossing, it is called planar. When a planar graph is drawn in this way, it divides the plane into regions called faces.

A planar graph is a graph that can be embedded in the plane, meaning it can be drawn on a flat surface such that no two edges cross each other. In other words, a planar graph can be …

A graph with crossing (or rectilinear crossing) number 0 is planar by definition, a graph with crossing (or rectilinear crossing) number 1 is said to be singlecross, and a graph with crossing …

What is a Planar Graph? A planar graph is a graph that can be embedded in the plane, meaning it can be drawn on a two-dimensional surface without any edges crossing each other. In simpler …

Planar graphs are a pivotal concept in graph theory, characterised by their ability to be drawn on a plane without any edges crossing. Salient for their application in various fields such as network …