Flows and Connectivity · Menger’s Theorem

Lesson 3

Nikolai Chukhin · Alexander S. Kulikov

To destroy all paths from 1 to 0, it’s enough to remove the edges \((1,2)\), \((7,0)\), and \((8,0)\). The graph without these edges is shown below.

Is it possible to achieve the same result by removing only two edges? If not, why?