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2. Planar graph - Wikipedia

   en.wikipedia.org/wiki/Planar_graph

   A 1-planar graph is a graph that may be drawn in the plane with at most one simple crossing per edge, and a k-planar graph is a graph that may be drawn with at most k simple crossings per edge. A map graph is a graph formed from a set of finitely many simply-connected interior-disjoint regions in the plane by connecting two regions when they ...

3. Plane (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Plane_(mathematics)

   In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the Euclidean plane refers to the ...

4. Euclidean plane - Wikipedia

   en.wikipedia.org/wiki/Euclidean_plane

   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. [9] Such a drawing is called a plane graph or planar embedding of the graph.

5. Glossary of graph theory - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_graph_theory

   A planar graph is a graph that has an embedding onto the Euclidean plane. A plane graph is a planar graph for which a particular embedding has already been fixed. A k-planar graph is one that can be drawn in the plane with at most k crossings per edge. polytree

6. Mathematical diagram - Wikipedia

   en.wikipedia.org/wiki/Mathematical_diagram

   The concept of the complex plane allows a geometric interpretation of complex numbers. Under addition , they add like vectors . The multiplication of two complex numbers can be expressed most easily in polar coordinates — the magnitude or modulus of the product is the product of the two absolute values , or moduli, and the angle or argument ...

7. Euclidean planes in three-dimensional space - Wikipedia

   en.wikipedia.org/wiki/Euclidean_planes_in_three...

   A plane segment or planar region (or simply "plane", in lay use) is a planar surface region; it is analogous to a line segment. A bivector is an oriented plane segment, analogous to directed line segments. [a] A face is a plane segment bounding a solid object. [1] A slab is a region bounded by two parallel planes.

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   mail.aol.com

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9. Graph theory - Wikipedia

   en.wikipedia.org/wiki/Graph_theory

   Graph drawing also can be said to encompass problems that deal with the crossing number and its various generalizations. The crossing number of a graph is the minimum number of intersections between edges that a drawing of the graph in the plane must contain. For a planar graph, the crossing number is zero by definition. Drawings on surfaces ...