Weighted Graph Example
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Weighted Graph Example
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A graph with a number usually positive assigned to each edge is called a weighted graph A graph without weights can be thought of as a weighted graph with all weights equal to 1 We denote the weight between vertices u u and v v by w u v w u v In the previous example the weights represented distances A weighted graph is a graph where each edge has a numerical value called a weight. Given below is an example of a weighted graph: The graph consists of five nodes and seven edges (each has a weight). For example, the edge \ {0, 3\} {0,3} has the weight 7 7, the edge \ {1, 2\} {1,2} has the weight 1 1.

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Weighted Graph ExampleExample: “map” of airline flight routes. vertices = airports. edge = flights. weights = distance/time/price. Adjacency Matrix. Adjacency List. Problems. Minimum spanning tree (MST) find the minimal weight set of edges that connect all vertices in a weighted graph. might be more than one minimal solution. we will assume undirected graph. A weighted graph is defined as a special type of graph in which the edges are assigned some weights which represent cost distance and many other relative measuring units Example of a weighted graph Applications of Weighted Graph 2D matrix games In 2d matrix games can be used to find the optimal path for maximum
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Example I

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