Think about a maximum flow network where the source node is not the entering arc-free node. Is it feasible to get rid of this node without changing the maximum flow value at all? Is it also feasible to remove a node without setting off an arc when it's not the sink node?

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter8: Network Models
Section8.3: Maximum-flow Problems
Problem 11P
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Think about a maximum flow network where the source node is not the entering arc-free node. Is it feasible to get rid of this node without changing the maximum flow value at all? Is it also feasible to remove a node without setting off an arc when it's not the sink node?

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