Show that the loop invariant, which states that it always retains a legal flow, is maintained by the network flow algorithm described in this section. Show that the flow changes don't breach any edge capacities or cause leaks at any nodes to accomplish this. Show that progress is being made by increasing overall flow as well. Use caution when using the plus and negative symbols.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Show that the loop invariant, which states that it always retains a legal flow, is maintained by the network flow algorithm described in this section. Show that the flow changes don't breach any edge capacities or cause leaks at any nodes to accomplish this. Show that progress is being made by increasing overall flow as well. Use caution when using the plus and negative symbols.

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