What are some examples of weighted graphs?
An example of an AI chatbot conversation about weighted graph examples.
What are some examples of weighted graphs?
Weighted graphs are graphs where edges have weights or costs associated with them. A common example is a road network where the edges represent roads and the weights represent distances or travel times.
Can you give me a specific example of a weighted graph?
Sure! Consider a graph representing a city map. Each intersection is a node, and each road connecting them is an edge. If the road from intersection A to B is 5 km, the edge would have a weight of 5.
How do weighted graphs differ from unweighted graphs?
In unweighted graphs, all edges are considered equal, meaning they have no weights. In contrast, weighted graphs assign a value to each edge, allowing for more complex calculations like shortest paths.
What are some applications of weighted graphs?
Weighted graphs are used in various applications, including network routing, resource allocation, and even in algorithms like Dijkstra's for finding the shortest path.
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