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S May 30, 2018 at 9:34 history suggested Rodrigo de Azevedo CC BY-SA 4.0
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May 30, 2018 at 8:39 comment added Brendan McKay The maximum for non-empty sets occurs when $U_2$ and $V_2$ contain one vertex each. Just try all the possibilities. Note that the sum of the four $w(*,*)$ quantities is the total weight of all edges, so maximising your objective function is the same as minimising $w(U_1,V_2)+w(U_2,V_1)$. For any $U_1$, the first term achieves its minimum when $V_2$ is a singleton and similarly for the second term.
May 30, 2018 at 8:10 review Suggested edits
S May 30, 2018 at 9:34
S May 30, 2018 at 7:18 history suggested Rodrigo de Azevedo CC BY-SA 4.0
Minor improvements
May 30, 2018 at 5:55 review Suggested edits
S May 30, 2018 at 7:18
May 29, 2018 at 19:24 comment added Thomas Edison I assume it is nonempty
May 29, 2018 at 19:21 comment added Brendan McKay The maximum is when $U_2=V_2=\emptyset$.
May 29, 2018 at 14:50 history asked Thomas Edison CC BY-SA 4.0