Publication details
Integer Programming and Incidence Treedepth
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Proceedings |
| Conference | Integer Programming and Combinatorial Optimization - 20th International Conference, IPCO 2019 |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/chapter/10.1007%2F978-3-030-17953-3_15 |
| Doi | http://dx.doi.org/10.1007/978-3-030-17953-3_15 |
| Keywords | Parameterized Complexity |
| Description | Recently a strong connection has been shown between the tractability of integer programming (IP) with bounded coefficients on the one side and the structure of its constraint matrix on the other side. To that end, integer linear programming is fixed-parameter tractable with respect to the primal (or dual) treedepth of the Gaifman graph of its constraint matrix and the largest coefficient (in absolute value). Motivated by this, Koutecký, Levin, and Onn [ICALP 2018] asked whether it is possible to extend these result to a more broader class of integer linear programs. More formally, is integer linear programming fixed-parameter tractable with respect to the incidence treedepth of its constraint matrix and the largest coefficient (in absolute value)? We answer this question in negative. |