An edge of a flow network is called upward critical if increasing the capacity of the...

 

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An edge of a flow network is called upward critical if increasing the capacity of the edge results in an increase in the maximum flow. In the following you will design an algorithm to find all upward critical edges. (1 point) Give an example of a flow network on 4 nodes that has at least one upward critical edge. (b) (1 point) Give an example of a flow network on 4 nodes that has no upward critical edges. (3 points) Give the basic idea of an algorithm to find all upward critical edges. (d) (4 points) Describe your algorithm in pseudocode. (e) (1 point) Analyze the running time of your algorithm. An edge of a flow network is called upward critical if increasing the capacity of the edge results in an increase in the maximum flow. In the following you will design an algorithm to find all upward critical edges. (1 point) Give an example of a flow network on 4 nodes that has at least one upward critical edge. (b) (1 point) Give an example of a flow network on 4 nodes that has no upward critical edges. (3 points) Give the basic idea of an algorithm to find all upward critical edges. (d) (4 points) Describe your algorithm in pseudocode. (e) (1 point) Analyze the running time of your algorithm.

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