8.3: Weighted Graphs
- Page ID
- 49317
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We may also want to associate some cost or weight to the traversal of an edge. When we add this information, the graph is called weighted. An example of a weighted graph would be the distance between the capitals of a set of countries.
Directed and undirected graphs may both be weighted. The operations on a weighted graph are the same with addition of a weight parameter during edge creation:
Weighted Graph Operations (an extension of undirected/directed graph operations)
make-edge(vertex u, vertex v, weight w): edge
Create an edge between u and v with weight w. In a directed graph, the edge will flow from u to v.