What is a weighted graph?

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What is a weighted graph?

A weighted graph is a type of graph in which each edge is assigned a numerical value or weight. These weights represent the cost, distance, or any other relevant measure associated with traversing that particular edge. The weights can be positive or negative, and they are used to quantify the importance or significance of the connections between the vertices in the graph. Weighted graphs are commonly used in various applications such as network analysis, transportation planning, and optimization problems.