## Related questions with answers

Question

What is the (simple) reason that Kirchhoff’s law is preserved in augmenting a flow by the use of a flow augmenting path?

Solution

VerifiedThis is because we increase the inflow to some vertex by the same amount as we increase the outflow. When we find an augmenting path, we increase the flow by the same amount on every edge of this path, hence the vertices' inflows and the outflows are increased by the same amount.

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