# Documentation

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# `Graph`::`plotCircleGraph`

Plots a Graph in a circle layout

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## Syntax

```Graph::plotCircleGraph(`G`, <`PointSize = n`>, <`SpecialVertices = [v1, …,vn]`>, <`SpecialEdges = [e1, …,en]`>, <`EdgeColor = RGB`>, <`SpecialEdgeColor = RGB`>, <`SpecialVertexColor = RGB`>, <`Vertex1Color = RGB`>, <`Vertex2Color = RGB`>)
```

## Description

`Graph::plotCircleGraph(G)` returns a `plot::Group2d` object in which the vertices are ordered in a circle (rightmost position upwards). The first vertex is drawn in blue and the second in green. All other vertices are drawn in red. The edges are drawn in red. The width of the points is predefined with 40. If a vertex points to itself it will be drawn outside

## Examples

### Example 1

A random graph is created and plotted (your output may differ due random creation):

```G1 := Graph::createRandomGraph(20, 10, Undirected): plot(Graph::plotCircleGraph(G1))```

Next, a complete graph will be plotted.

```G1 := Graph::createCompleteGraph(20): plot(Graph::plotCircleGraph(G1))```

### Example 2

If some edges are to be emphasized they can be drawn in a special color:

```G2 := Graph([1, 2, 3, 4, 5], [[1, 2], [2, 3], [3, 4], [4, 5], [1, 3], [1, 4], [1, 5]]): edges := [[1, 3], [1, 4]]: plot(Graph::plotCircleGraph(G2, SpecialEdges = edges, SpecialEdgeColor = RGB::Blue))```

## Parameters

 `G` `Graph` `n` `a positive integer` `[v1, …,vn]` `a list of vertices` `[e1, …,en]` `a list of edges`

## Options

 `PointSize` Defines the thickness in which the points are drawn. Default is 40. `SpecialVertices` Defines a set of vertices. This option makes only sense if used with the option `SpecialVertexColor`. `SpecialEdges` Defines a set of edges. This option makes only sense if used with the option `SpecialEdgeColor`. `EdgeColor` Defines a color with which to draw the edges. Default is RGB::Red `SpecialEdgeColor` Defines a color to be used to draw the set of edges specified. This option makes only sense if used with the option `SpecialEdges` `VertexColor` Defines a color with which to draw the vertices. If this option is specified, the first two vertices are set to this color, too. They must be specified via `Vertex1Color` and `Vertex2Color` to distinct them again. Default is RGB::Red `SpecialVertexColor` Defines a color to be used to draw the set of vertices specified. This option makes only sense if used with the option `SpecialVertices` `Vertex1Color` Defines a color with which to draw the uppermost left (first) vertex with (the starting vertex). Default is RGB::Blue `Vertex2Color` Defines a color with which to draw the second vertex with. Default is RGB::Green

## Return Values

`plot::Group2d`