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Suppose that minimum spanning tree of the following edge weighted graph contains
the edges with weights x and z, then what is the maximum value of x and z? Justify your answer?
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Suppose that minimum spanning tree of the following edge weighted grap...
Maximum Values of x and z in Minimum Spanning Tree


  1. Identifying the Given Information
    Given that the minimum spanning tree of the edge-weighted graph contains the edges with weights x and z. This implies that x and z are part of the minimum spanning tree and have the minimum weights among all the other edges in the graph.


  2. Understanding Minimum Spanning Tree
    In a minimum spanning tree, the sum of the weights of the edges is minimized while still connecting all the vertices of the graph. This means that the edges with the smallest weights are chosen to form the minimum spanning tree.


  3. Determining the Maximum Values of x and z
    Since x and z are part of the minimum spanning tree, they must have the smallest weights among all the edges in the graph. Therefore, the maximum values of x and z would be the maximum weights among the smallest weights in the graph.


  4. Justifying the Answer
    To determine the maximum values of x and z, we need to find the smallest weights in the graph. Once we identify these smallest weights, the maximum values of x and z would be the largest among them. This is because x and z are the smallest weights in the minimum spanning tree.


Therefore, by identifying the smallest weights in the graph and selecting the largest among them, we can determine the maximum values of x and z in the minimum spanning tree.
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Suppose that minimum spanning tree of the following edge weighted graph contains the edges with weights x and z, then what is the maximum value of x and z? Justify your answer?
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