GetEdgeWeight returns the weight of an edge of a weighted graph.

SetEdgeWeight updates the weight of an edge of a weighted graph. It returns the old weight of the edge.

GetEdgeWeights(G, edges) accepts a list or set edges and returns a list or set of the corresponding edge weights.

SetEdgeWeights(G, eqs) accepts a list or set eqs of equations whose left-hand side is an edge and whose right-hand side is a weight. It updates the edge weights in G correspondingly.

$\mathrm{with}\left(\mathrm{GraphTheory}\right)\:$

$G≔\mathrm{MakeWeighted}\left(\mathrm{CompleteGraph}\left(4\right)\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; weighted\; graph\; with\; 4\; vertices\; and\; 6\; edge(s)}$

$\mathrm{GetEdgeWeight}\left(G\,\left\{1\,2\right\}\right)$

$1$

$\mathrm{SetEdgeWeight}\left(G\,\left\{1\,2\right\}\,3\right)$

$1$

$\mathrm{GetEdgeWeight}\left(G\,\left\{1\,2\right\}\right)$

$3$

$$\begin{gathered} \mathbf{for}e\mathbf{in}\mathrm{Edges}\left(\mathrm{CycleGraph}\left(4\right)\right)\mathbf{do} \\ \mathrm{SetEdgeWeight}\left(G\,e\,2\right) \\ \mathbf{end}\mathbf{do} \end{gathered}$$

$1$

$\mathrm{WeightMatrix}\left(G\right)$

$\left[\begin{array}{cccc}0& 2& 1& 2\\ 2& 0& 2& 1\\ 1& 2& 0& 2\\ 2& 1& 2& 0\end{array}\right]$

The GraphTheory[GetEdgeWeights] and GraphTheory[SetEdgeWeights] commands were introduced in Maple 2023.

For more information on Maple 2023 changes, see Updates in Maple 2023.