Planar graph - Wikipedia
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 can be drawn in such a way that no edges cross each other.
What is a Planar Graph?: Definition, Properties, & Applications
2023年9月8日 · In graph theory, a Planar Graph is a type of graph that can be drawn on a flat surface (such as a piece of paper) without any of its edges crossing each other.
Planar Graphs and Graph Coloring | Engineering Mathematics
2024年9月3日 · A planar graph is a graph that can be drawn on a plane without any edges crossing, except at their endpoints. What is Euler’s formula for planar graphs? Euler’s formula states that for a connected planar graph with V vertices, E edges, and F faces, V – E + F = 2
Planar and Non-Planar Graphs - javatpoint
Example: The graph shown in fig is planar graph. Region of a Graph: Consider a planar graph G= (V,E).A region is defined to be an area of the plane that is bounded by edges and cannot be further subdivided. A planar graph divides the plans into one or more regions. One of these regions will be infinite.
4.2: Planar Graphs - Mathematics LibreTexts
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. Draw, if possible, two different planar graphs with the same number of vertices, edges, and faces.
What Are Planar Graphs? | Baeldung on Computer Science
2024年3月18日 · A planar graph is a graph that can be drawn on a plane such that its edges intersect only at their end nodes. A plane graph is a graph whose edges don’t intersect. So, we call a graph planar if we can draw it as a plane graph.
Planar Graph -- from Wolfram MathWorld
A graph is planar if it can be drawn in a plane without graph edges crossing (i.e., it has graph crossing number 0). The number of planar graphs with n=1, 2, ... nodes are 1, 2, 4, 11, 33, 142, 822, 6966, 79853, ...
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