A Fixed-Parameter Algorithm for 4-Block Integer Programming
We give a fixed parameter tractable (FPT) algorithm with running time $f(k,\Delta)\cdot {|I|}^{O(1)}$ for integer linear programs with 4-block structure, parameterized by the maximum block dimension $k$ and the largest absolute matrix entry $\Delta$. This result resolves a long-standing open question in parameterized c...