WeightedAdjacencyMatrix
WeightedAdjacencyMatrix[g] gives the adjacency matrix of edge weights of the graph g.
WeightedAdjacencyMatrix[{v -> w, ...}] uses rules to specify the graph g.
Examples
Get the weighted adjacency matrix of a graph:
g = Graph[{1 -> 2, 2 -> 3}, EdgeWeight -> {2, 3}];
WeightedAdjacencyMatrix[g] // MatrixFormCreate from explicit edges:
WeightedAdjacencyMatrix[{1 <-> 2, 2 <-> 3, 3 <-> 1}]Please visit the official Wolfram Language Reference for more details.