EdgeWeight is an option that allows the user to associate weights with edges. 1 is the default weight. EdgeWeight can be set as part of the graph data structure.
EmptyGraph[n] generates an empty graph on n vertices. An option Type that can take on values Directed or Undirected is provided. The default setting is Type -> Undirected.
VertexColor is an option that allows the user to associate colors with vertices.
VertexLabelColor is an option that allows the user to associate different colors to vertex labels.
VertexLabelPosition is an option that allows the user to place a vertex label in a certain position relative to the vertex.
VertexNumberColor is an option that can be used in ShowGraph to associate different colors to vertex numbers.
VertexWeight is an option that allows the user to associate weights with vertices.
WeightingFunction is an option to the functions SetEdgeWeights and SetVertexWeights that tells the functions how to compute edge weights and vertex weights, respectively.
WeightRange is an option to the functions SetEdgeWeights and SetVertexWeights that gives the range for these weights.
OrderStarSymbolSize is an option to OrderStarPlot that specifies the size of the symbols used to represent poles, zeros and interpolation points.