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Was (wer) ist 1-planar graph - definition
1-planar graph
![cocktail party graph]] ''K''<sub>2,2,2,2</sub>](https://commons.wikimedia.org/wiki/Special:FilePath/1planar-K2222.svg?width=200 "cocktail party graph]] ''K''<sub>2,2,2,2</sub>")
In topological graph theory, a 1-planar graph is a graph that can be drawn in the Euclidean plane in such a way that each edge has at most one crossing point, where it crosses a single additional edge. If a 1-planar graph, one of the most natural generalizations of planar graphs, is drawn that way, the drawing is called a 1-plane graph or 1-planar embedding of the graph.
Null graph
GRAPH WITHOUT EDGES (ON ANY NUMBER OF VERTICES)
Empty tree; Empty graph; Null Graph; Null tree; Singleton graph; Edgeless graph; Order-zero graph
In the mathematical field of graph theory, the term "null graph" may refer either to the order-zero graph, or alternatively, to any edgeless graph (the latter is sometimes called an "empty graph").
Turán graph
![The [[octahedron]], a 3-[[cross polytope]] whose edges and vertices form ''K''<sub>2,2,2</sub>, a Turán graph ''T''(6,3). Unconnected vertices are given the same color in this face-centered projection.](https://commons.wikimedia.org/wiki/Special:FilePath/Complex tripartite graph octahedron.svg?width=200 "The [[octahedron]], a 3-[[cross polytope]] whose edges and vertices form ''K''<sub>2,2,2</sub>, a Turán graph ''T''(6,3). Unconnected vertices are given the same color in this face-centered projection.")
GRAPH
Turan graph; Cocktail party graph; Octahedral Graph; Octahedral graph
The Turán graph, denoted by T(n,r), is a complete multipartite graph; it is formed by partitioning a set of n vertices into r subsets, with sizes as equal as possible, and then connecting two vertices by an edge if and only if they belong to different subsets. Where q and s are the quotient and remainder of dividing n by r (so n = qr + s), the graph is of the form K_{q+1, q+1, \ldots, q, q}, and the number of edges is
