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sln-HW05

# sln-HW05 - CSE450/598 Design And Analysis of Algorithms...

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Unformatted text preview: CSE450/598 Design And Analysis of Algorithms HW05, Wednesday, 04/09/2008, Due: Monday, 04/21/2008 Please note that you have to typeset your assignment using either L A T E X or Microsoft Word. Hand-written assignment will not be graded. Also, it is recommended that you save a copy of your assignment on general.asu.edu . All homework assignments are your own work. While you are encourage to discuss the materials studied in class, you are not supposed to discuss the solutions to homework problems. 1. (10 pts) Exercise 7-4. Solutions: This is false. Consider a graph with nodes s, v, w, t , edges ( s, v ) , ( v, w ) , ( w, t ), capacities of 2 on ( s, v ) and ( w, t ), and a capacity of 1 on ( v, w ). Then the maximum flow has value 1, and does not saturate the edge out of s . Grading: 5 pts for the answer; 5 pts for the explanation. 2. (10 pts) Exercise 7-9. Solutions: We construct the following flow network. There is a node v i for each patient i , and a node w j for each hospital j . There is an edge ( v i , w j ) of capacity 1 if and only if patient i is within half an hour from hostipal j . We add a super-source node s and a super-sink node t . For each v i , add a unit capacity edge from s to v i . For each w j , add an from w j to t with capacity d...
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sln-HW05 - CSE450/598 Design And Analysis of Algorithms...

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