Weighted graphs assign values edges from "summary" of Introduction to Graph Theory by Douglas Brent West
In the context of graph theory, weighted graphs are a type of graph in which each edge is assigned a numerical value. This numerical value, or weight, represents a certain attribute of the edge, such as distance, cost, or capacity. By assigning weights to the edges of a graph, we can capture additional information about the relationships between the vertices. The concept of weighted graphs allows us to model real-world scenarios more accurately. For example, in a transportation network, the weights of the edges could represent the distances between two locations. In a telecommunications network, the weights could represent the bandwidth capacity of communication links. By incorporating weights into the edges of a graph, we can analyze and optimize various systems and processes more effectively. When working with weighted graphs, it is important to consider how th...
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