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What (who) is K-outerplanar graph - definition
K-outerplanar graph
![A 3-outerplanar graph, the graph of a [[rhombic dodecahedron]]. There are four vertices on the outside face, eight vertices on the second layer (light yellow), and two vertices on the third layer (darker yellow). Because of the symmetries of the graph, no other embedding has fewer layers.](https://commons.wikimedia.org/wiki/Special:FilePath/Rhombic dodecahedral graph layers.svg?width=200 "A 3-outerplanar graph, the graph of a [[rhombic dodecahedron]]. There are four vertices on the outside face, eight vertices on the second layer (light yellow), and two vertices on the third layer (darker yellow). Because of the symmetries of the graph, no other embedding has fewer layers.")
In graph theory, a k-outerplanar graph is a planar graph that has a planar embedding in which the vertices belong to at most k concentric layers. The outerplanarity index of a planar graph is the minimum value of k for which it is k-outerplanar.
Outerplanar graph
![A [[cactus graph]]. The cacti form a subclass of the outerplanar graphs.](https://commons.wikimedia.org/wiki/Special:FilePath/Cactus graph.svg?width=200 "A [[cactus graph]]. The cacti form a subclass of the outerplanar graphs.")
![The [[complete graph]] K<sub>4</sub> is the smallest planar graph that is not outerplanar.](https://commons.wikimedia.org/wiki/Special:FilePath/Finite-3-regular-graph-4-vertices.png?width=200 "The [[complete graph]] K<sub>4</sub> is the smallest planar graph that is not outerplanar.")
GRAPH THAT CAN BE DRAWN WITHOUT CROSSINGS IN THE PLANE WITH ALL VERTICES ON THE OUTER FACE
Outer planar graph; Outerplanarity; Maximal outerplanar graph
In graph theory, an outerplanar graph is a graph that has a planar drawing for which all vertices belong to the outer face of the drawing.
Regular graph
GRAPH WHERE EACH VERTEX HAS THE SAME NUMBER OF NEIGHBORS
K-regular graph; K‑regular graph; Regular graph of degree k; Regular directed graph; Regular graphs
In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e.
