The methodologies in my research span several sub-fields of optimization with the following main thrusts: bilevel, multi-stage stochastic and multiobjective mixed-integer linear problems; and graph optimization problems.
Here are listed all my publications and my most recent work in progress.
2025
Preprint
Improving Directions in Mixed Integer Bilevel Linear Optimization
@techreport{BatRalBranchcut24,type={{{arXiv}} Preprint},title={Improving {{Directions}} in {{Mixed Integer Bilevel Linear Optimization}}},author={Battista, Federico and Ralphs, T. K.},year={2025},institution={COR@L Laboratory, Lehigh University},url={https://doi.org/10.48550/arXiv.2511.03566},}
MPC
Application of the Lovász-Schrijver Operator to Compact Stable Set Integer Programs
@article{BatRosSmrApplication25,title={Application of the Lov\'asz-Schrijver Operator to Compact Stable Set Integer Programs},author={Battista, Federico and Rossi, Fabrizio and Smriglio, Stefano},year={2025},journal={Mathematical Programming Computation},doi={10.1007/s12532-025-00298-8},}
Working Paper
A Branch-and-Bound Algorithm for Multiobjective Mixed Integer Linear Optimization
@article{BatDeDealing24,title={Dealing with Inequality Constraints in Large-Scale Semidefinite Relaxations for Graph Coloring and Maximum Clique Problems},author={Battista, Federico and De Santis, Marianna},year={2024},journal={4OR. A Quarterly Journal of Operations Research},pages={1--31},publisher={Springer},doi={10.1007/s10288-024-00569-5},}
2023
Ph.D. Thesis
On Semidefinite Lift-and-Project of Combinatorial Optimization Problems
@phdthesis{BatSemidefinite23,title={On Semidefinite Lift-and-Project of Combinatorial Optimization Problems},author={Battista, Federico},year={2023},eprint={11573/1668673},eprinttype={hdl},url={https://hdl.handle.net/11573/1668673},school={Universit\`a di Roma Sapienza},}