# Cutting Planes from Wide Split Disjunctions

@inproceedings{Bonami2017CuttingPF, title={Cutting Planes from Wide Split Disjunctions}, author={Pierre Bonami and Andrea Lodi and Andrea Tramontani and Sven Wiese}, booktitle={IPCO}, year={2017} }

In this paper, we discuss an extension of split cuts that is based on widening the underlying disjunctions. That the formula for deriving intersection cuts based on splits can be adapted to this case has been known for a decade now. For the first time though, we present applications and computational results. We further provide some theory that supports our findings, discuss extensions with respect to cut strengthening procedures and present some ideas on how to use the wider disjunctions also…

## 6 Citations

### Non-Recursive Cut Generation

- Computer Science
- 2018

This dissertation focuses on the theoretical and computational development of new disjunctive cuts, introducing three techniques for efficiently generating a large number of strong cuts without recursion, and introducing V-polyhedral cuts for generating valid inequalities from general disjunctions.

### A mixed-integer branching approach for very small formulations of disjunctive constraints

- Mathematics
- 2017

An important problem in optimization is the construction of mixed-integer programming (MIP) formulations of disjunctive constraints that are both strong and small. Motivated by lower bounds on the…

### Integer Programming and Combinatorial Optimization: 21st International Conference, IPCO 2020, London, UK, June 8–10, 2020, Proceedings

- MathematicsIPCO
- 2020

It is conjecture that every 4-wise intersecting clutter is non-ideal, and the proof is proved in the binary case using Jaeger's 8-flow theorem for graphs and Seymour's characterization of the binary matroids with the sums of circuits property.

### On a Generalization of the Chvátal-Gomory Closure

- MathematicsIPCO
- 2020

It is shown that all points in a rational polyhedron that satisfy a strengthened version of Chvatal-Gomory inequalities that use 0–1 bounds on variables form a rationalpolyhedron.

### Generalized Chvátal-Gomory closures for integer programs with bounds on variables

- MathematicsMath. Program.
- 2021

It is proved that the closure of a rational polyhedron obtained after applying the generalized Chvátal-Gomory inequalities is also a rationalpolyhedron.

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