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8 votes
3 answers
296 views

Shrinking subset and product

Given a segment and a value $c$ less than the segment length, let $A_1,\dots,A_n$ be finite unions of intervals on the segment. We choose a finite union of intervals $B$ with $|B|=c$ that maximizes $|...
pi66's user avatar
  • 1,209
1 vote
1 answer
117 views

Shrinking subset with disjoint unions

Given a segment and a value $c$ less than the segment length, let $A_1,\dots,A_n$ be disjoint finite unions of intervals on the segment. We choose a finite union of intervals $B$ with $|B|=c$ that ...
pi66's user avatar
  • 1,209
0 votes
1 answer
221 views

Minimize overlap penalty between paths in graph

Suppose we have a weighted undirected graph $G(V,E)$. We are given the information that $V_a \cap V_b = \emptyset$ and $V_a,V_b \subset V$. We want to find paths from all vertices in $V_a$ to all ...
Grizz1618's user avatar