Graph properties, also known as attributes, are used to set and store values associated with vertices, edges and the graph itself. Standard properties typically related to styles, labels and weights extended the graph-modeling capabilities and are handled automatically by all graph-related functions. User-defined properties allow for many further extensions of graph modeling.

Standard Algorithmic Properties

EdgeWeight, VertexWeight — edge and vertex weights

EdgeCapacity, VertexCapacity — edge and vertex capacities

WeightedAdjacencyMatrix  ▪  WeightedAdjacencyGraph  ▪  WeightedGraphQ  ▪  EdgeWeightedGraphQ  ▪  VertexWeightedGraphQ

Standard Visual Properties

EdgeShapeFunction, EdgeStyle, EdgeLabels — render, style and label edges

VertexShapeFunction, VertexStyle, VertexLabels — render, style and label vertices

GraphLayout, GraphHighlightStyle — lay out, style and highlight graphs

VertexShape  ▪  VertexCoordinates  ▪  VertexSize  ▪  GraphHighlight

User Properties

"myproperty" — specify new properties for vertices, edges and graphs