EdgeWeight

is an option and annotation for Graph and related functions that specifies an edge weight.

Details

	Automatic	automatically determine edge weights
	{v_iv_j->w_ij,…}	edge has weight etc.
	{w₁,w₂,…}	give all edge weights in the same order as used by EdgeList
	{patternw,…}	edge that matches the pattern has weight w

The wrapper Annotation[v_iv_j,EdgeWeight->w] can be used when creating graphs in functions such as Graph etc.
The weight can be any expression.
The weight can be interpreted as cost or capacity, or can have other special meanings for different graph computation functions.

Examples

Set a weight for all edges:

The weighted adjacency matrix:

Specify the weight for individual edges:

The list of edge weights in the order given in the graph:

Use any expression as a weight:

Top