Thick is a value that the option EdgeStyle can take on in the graph data structure or in ShowGraph.

Thin is a value that the option EdgeStyle can take on in the graph data structure or in ShowGraph.

FranklinGraph returns a 12-vertex graph that represents a 6-chromatic map on the Klein bottle. It is the sole counterexample to Heawood's map-coloring conjecture.

ShakeGraph[g, d] performs a random perturbation of the vertices of graph g, with each vertex moving, at most, a distance d from its original position.

VertexLabelPosition is an option that allows the user to place a vertex label in a certain position relative to the vertex.

Cycle[n] constructs the cycle on n vertices, the 2-regular connected graph. An option Type that takes on values Directed or Undirected is allowed. The default setting is Type ...

ShowLabeledGraph[g] displays graph g according to its embedding, with each vertex labeled with its vertex number.ShowLabeledGraph[g, l] uses the i\[Null]^th element of list l ...

$ProcessID gives the ID assigned to the Mathematica kernel process by the operating system under which it is run.

Introduction Exploring Data Formats Interactively Obtaining Data Formats Programmatically

LegendBorderSpace is an option for Legend which sets the space around the entire set of key boxes and text in the legend.