Edit Profile (opens in new tab) Liberti, Leo Compute Distance To: Compute Author ID: liberti.leo Published as: Liberti, Leo; Liberti, L. External Links: MGP Documents Indexed: 146 Publications since 1999, including 3 Books 16 Contributions as Editor Co-Authors: 143 Co-Authors with 145 Joint Publications 3,276 Co-Co-Authors all top 5 Co-Authors 17 single-authored 41 Lavor, Carlile Campos 22 Maculan, Nelson F. 18 D’Ambrosio, Claudia 16 Mucherino, Antonio 10 Lee, Jon 10 Poirion, Pierre-Louis 8 Nannicini, Giacomo 8 Vu, Ky Khac 7 Cafieri, Sonia 7 Hansen, Pierre 7 Maffioli, Francesco 6 Belotti, Pietro 6 Gonçalves, Douglas Soares 5 Amaldi, Edoardo 4 Alencar, Jorge 4 Cerulli, Martina 4 Dias, Gustavo Fruet 4 Marinelli, Fabrizio 4 Toubaline, Sonia 4 Wiegele, Angelika 3 Aloise, Daniel 3 Costa, Alberto L. C. 3 Delling, Daniel 3 Faigle, Ulrich 3 Frangioni, Antonio 3 Kucherenko, Sergei S. 3 Lodi, Andrea 3 Sager, Sebastian 2 Abud, Germano 2 Alizadeh, Farid 2 Baptiste, Philippe 2 Bardiaux, Benjamin 2 Bettinelli, Andrea 2 Bienstock, Daniel 2 Bruglieri, Maurizio 2 Cornuéjols, Gérard P. 2 Dhyani, Kanika 2 Escobar, Mauro 2 Fischetti, Matteo 2 Furini, Fabio 2 Gentile, Claudio 2 Kirchler, Dominik 2 Krislock, Nathan 2 Krob, Daniel 2 Leconte, Jeremy 2 Leroux, Stéphane 2 Malliavin, Thérèse E. 2 Marchant, Thierry 2 Martello, Silvano 2 Masson, Benoît 2 Miller, Andrew J. 2 Nilges, Michael 2 Pantelides, Constantinos C. 2 Pickl, Stefan Wolfgang 2 Raimondi, Franco 2 Savourey, David 2 Schultes, Dominik 2 Souza, Michael 2 Traversi, Emiliano 2 Wolfler Calvo, Roberto 2 Worley, Bradley 1 Alfandari, Laurent 1 Allouah, Youssef 1 Aloise, Dario José 1 Barbier, Gilles 1 Bauguion, Pierre-olivier 1 Beeker, Nathanael 1 Bonami, Pierre 1 Bonates, Tibérius O. 1 Canu, Stephane 1 Caporossi, Gilles 1 Carvalho, Luiz Mariano 1 Cassioli, Andrea 1 Cordier, Florence 1 Cordone, Roberto 1 Dalkiran, Evrim 1 de Salles Neto, Luiz Leduíno 1 Delhommel, Florent 1 Donald, Bruce Randall 1 Duxbury, Phil 1 Fernandes, Isaac F. 1 Fidalgo, Felipe 1 Firer, Marcelo 1 Gaubert, Stéphane 1 Gleixner, Ambros M. 1 Glusa, Christian 1 Goubault, Eric 1 Gould, Nick I. M. 1 Günlük, Oktay 1 Hamadi, Youssef 1 Hijazi, Hassan 1 Iommazzo, Gabriele 1 John, Audrey Lee-St. 1 Jost, Vincent 1 Kaibel, Volker 1 Karamanov, Miroslav 1 Khalife, Sammy 1 Kushnarev, Sergey 1 Ky, Vu Khac 1 Lambert, Amélie ...and 43 more Co-Authors all top 5 Serials 18 Journal of Global Optimization 17 Discrete Applied Mathematics 9 International Transactions in Operational Research 7 Mathematical Programming. Series A. Series B 7 Optimization Letters 5 Annals of Operations Research 4 Operations Research Letters 3 Computational Optimization and Applications 3 4OR 3 Oberwolfach Reports 2 Networks 2 Computers & Operations Research 2 Top 2 Mathematical Methods of Operations Research 2 Journal of Combinatorial Optimization 2 RAIRO. Operations Research 2 Mathematical Programming Computation 1 Journal of Computer and System Sciences 1 Mathematics of Operations Research 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Algorithmica 1 Discrete & Computational Geometry 1 COMPEL 1 Mathematica Balkanica. New Series 1 YUJOR. Yugoslav Journal of Operations Research 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 SIAM Review 1 SIAM Journal on Optimization 1 Optimization Methods & Software 1 Optimization and Engineering 1 Journal of Systems Science and Complexity 1 Journal of Machine Learning Research (JMLR) 1 ACM Journal of Experimental Algorithmics 1 Computational Management Science 1 Discrete Optimization 1 Nonconvex Optimization and Its Applications 1 Electronic Notes in Discrete Mathematics 1 EURO Journal on Computational Optimization 1 OASIcs – OpenAccess Series in Informatics 1 Springer Undergraduate Texts in Mathematics and Technology 1 SpringerBriefs in Computer Science 1 Notas em Matemática Aplicada all top 5 Fields 130 Operations research, mathematical programming (90-XX) 31 Combinatorics (05-XX) 18 Geometry (51-XX) 17 Computer science (68-XX) 16 General and overarching topics; collections (00-XX) 16 Biology and other natural sciences (92-XX) 8 Convex and discrete geometry (52-XX) 6 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Probability theory and stochastic processes (60-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Statistics (62-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 123 Publications have been cited 1,527 times in 622 Documents Cited by ▼ Year ▼ Branching and bounds tightening techniques for non-connvex MINLP. Zbl 1179.90237Belotti, Pietro; Lee, Jon; Liberti, Leo; Margot, François; Wächter, Andreas 197 2009 Euclidean distance geometry and applications. Zbl 1292.51010Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Mucherino, Antonio 99 2014 A branch-and-prune algorithm for the molecular distance geometry problem. Zbl 1136.92037Liberti, Leo; Lavor, Carlile; Maculan, Nelson 52 2008 The discretizable molecular distance geometry problem. Zbl 1259.90153Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio 50 2012 The interval branch-and-prune algorithm for the discretizable molecular distance geometry problem with inexact distances. Zbl 1272.90074Lavor, Carlile; Liberti, Leo; Mucherino, Antonio 49 2013 Molecular distance geometry methods: from continuous to discrete. Zbl 1219.90177Liberti, Leo; Lavor, Carlile; Mucherino, Antonio; Maculan, Nelson 38 2011 Convex envelopes of monomials of odd degree. Zbl 1030.90117Liberti, Leo; Pantelides, Constantinos C. 38 2003 The discretizable distance geometry problem. Zbl 1258.90100Mucherino, A.; Lavor, C.; Liberti, L. 36 2012 Recent advances on the discretizable molecular distance geometry problem. Zbl 1253.05132Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio 36 2012 An exact reformulation algorithm for large nonconvex nLPs involving bilinear terms. Zbl 1131.90045Liberti, Leo; Pantelides, Constantinos C. 36 2006 A storm of feasibility pumps for nonconvex MINLP. Zbl 1257.90056D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea 29 2012 Computational experience with the molecular distance geometry problem. Zbl 1129.90389Lavor, Carlile; Liberti, Leo; Maculan, Nelson 28 2006 Discretization vertex orders in distance geometry. Zbl 1321.05029Cassioli, Andrea; Günlük, Oktay; Lavor, Carlile; Liberti, Leo 27 2015 On the number of realizations of certain Henneberg graphs arising in protein conformation. Zbl 1288.05121Liberti, Leo; Masson, Benoît; Lee, Jon; Lavor, Carlile; Mucherino, Antonio 27 2014 Reformulations in mathematical programming: automatic symmetry detection and exploitation. Zbl 1235.90103Liberti, Leo 26 2012 Discretization orders for distance geometry problems. Zbl 1258.90096Lavor, Carlile; Lee, Jon; John, Audrey Lee-St.; Liberti, Leo 26 2012 Reformulations in mathematical programming: Definitions and systematics. Zbl 1158.90390Liberti, Leo 22 2009 An improved column generation algorithm for minimum sum-of-squares clustering. Zbl 1236.90095Aloise, Daniel; Hansen, Pierre; Liberti, Leo 21 2012 A recipe for finding good solutions to MINLPs. Zbl 1276.90041Liberti, Leo; Mladenović, Nenad; Nannicini, Giacomo 21 2011 Distance geometry. Theory, methods, and applications. Zbl 1256.51002 21 2013 Feasibility-based bounds tightening via fixed points. Zbl 1311.90189Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo 21 2010 Writing global optimization software. Zbl 1100.90004Liberti, Leo 21 2006 On convex relaxations of quadrilinear terms. Zbl 1202.90236Cafieri, Sonia; Lee, Jon; Liberti, Leo 19 2010 Recent advances on the interval distance geometry problem. Zbl 1382.90084Gonçalves, Douglas S.; Mucherino, Antonio; Lavor, Carlile; Liberti, Leo 18 2017 Six mathematical gems from the history of distance geometry. Zbl 1362.51002Liberti, Leo; Lavor, Carlile 18 2016 Global optimization. From theory to implementation. Zbl 1087.90005 18 2006 Double variable neighbourhood search with smoothing for the molecular distance geometry problem. Zbl 1169.90470Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Marinelli, Fabrizio 18 2009 QPLIB: a library of quadratic programming instances. Zbl 1435.90099Furini, Fabio; Traversi, Emiliano; Belotti, Pietro; Frangioni, Antonio; Gleixner, Ambros; Gould, Nick; Liberti, Leo; Lodi, Andrea; Misener, Ruth; Mittelmann, Hans; Sahinidis, Nikolaos V.; Vigerske, Stefan; Wiegele, Angelika 18 2019 Euclidean distance geometry. An introduction. Zbl 1492.51002Liberti, Leo; Lavor, Carlile 16 2017 On the definition of artificial backbones for the discretizable molecular distance geometry problem. Zbl 1190.92009Mucherino, Antonio; Lavor, Carlile; Liberti, Leo; Maculan, Nelson 15 2009 On interval-subgradient and no-good cuts. Zbl 1202.90238D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea 14 2010 On the computation of protein backbones by using artificial backbones of hydrogens. Zbl 1219.90209Lavor, C.; Mucherino, A.; Liberti, L.; Maculan, N. 14 2011 Minimal NMR distance information for rigidity of protein graphs. Zbl 1405.05178Lavor, Carlile; Liberti, Leo; Donald, Bruce; Worley, Bradley; Bardiaux, Benjamin; Malliavin, Thérèse E.; Nilges, Michael 14 2019 MD-jeep: an implementation of a branch and prune algorithm for distance geometry problems. Zbl 1294.68144Mucherino, Antonio; Liberti, Leo; Lavor, Carlile 13 2010 Reformulation and convex relaxation techniques for global optimization. Zbl 1136.90442Liberti, Leo 12 2004 Counting the number of solutions of \(^{\mathrm{K}}\)DMDGP instances. Zbl 1405.05083Liberti, Leo; Lavor, Carlile; Alencar, Jorge; Abud, Germano 12 2013 The discretizable molecular distance geometry problem seems easier on proteins. Zbl 1366.92094Liberti, Leo; Lavor, Carlile; Mucherino, Antonio 11 2013 Bidirectional \(A^*\) search on time-dependent road networks. Zbl 1241.90019Nannicini, Giacomo; Delling, Daniel; Schultes, Dominik; Liberti, Leo 11 2012 An introduction to distance geometry applied to molecular geometry. Zbl 1403.92001Lavor, Carlile; Liberti, Leo; Lodwick, Weldon A.; Mendonça da Costa, Tiago 11 2017 New error measures and methods for realizing protein graphs from distance data. Zbl 1358.05085D’Ambrosio, Claudia; Vu, Ky; Lavor, Carlile; Liberti, Leo; Maculan, Nelson 11 2017 Tuning interval branch-and-prune for protein structure determination. Zbl 1422.92109Worley, Bradley; Delhommel, Florent; Cordier, Florence; Malliavin, Thérèse E.; Bardiaux, Benjamin; Wolff, Nicolas; Nilges, Michael; Lavor, Carlile; Liberti, Leo 11 2018 Compact linearization for binary quadratic problems. Zbl 1211.90154Liberti, Leo 10 2007 Reduced RLT representations for nonconvex polynomial programming problems. Zbl 1244.90185Sherali, Hanif D.; Dalkiran, Evrim; Liberti, Leo 10 2012 Stabilizer-based symmetry breaking constraints for mathematical programs. Zbl 1312.90077Liberti, Leo; Ostrowski, James 9 2014 Improved strategies for branching on general disjunctions. Zbl 1229.90104Cornuéjols, G.; Liberti, L.; Nannicini, G. 9 2011 The reformulation-optimization software engine. Zbl 1294.68160Liberti, Leo; Cafieri, Sonia; Savourey, David 9 2010 Symmetry in mathematical programming. Zbl 1242.90236Liberti, Leo 9 2012 Surrogate-based methods for black-box optimization. Zbl 1366.90196Vu, Ky Khac; D’Ambrosio, Claudia; Hamadi, Youssef; Liberti, Leo 9 2017 Reduction constraints for the global optimization of NLPs. Zbl 1057.90043Liberti, Leo 8 2004 Automatic generation of symmetry-breaking constraints. Zbl 1168.90566Liberti, Leo 8 2008 On the impact of symmetry-breaking constraints on spatial branch-and-bound for circle packing in a square. Zbl 1262.90143Costa, Alberto; Hansen, Pierre; Liberti, Leo 8 2013 Open research areas in distance geometry. Zbl 1420.51011Liberti, Leo; Lavor, Carlile 8 2018 Linearity embedded in nonconvex programs. Zbl 1124.90026Liberti, Leo 7 2005 New formulations for the Kissing Number Problem. Zbl 1144.90455Kucherenko, Sergei; Belotti, Pietro; Liberti, Leo; Maculan, Nelson 7 2007 Bidirectional \(A^{\ast}\) search for time-dependent fast paths. Zbl 1182.90092Nannicini, Giacomo; Delling, Daniel; Liberti, Leo; Schultes, Dominik 7 2008 Reformulation in mathematical programming: An application to quantum chemistry. Zbl 1173.90494Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Nascimento, Marco Antonio Chaer 7 2009 On the number of solutions of the discretizable molecular distance geometry problem. Zbl 1342.90168Liberti, Leo; Masson, Benoît; Lee, Jon; Lavor, Carlile; Mucherino, Antonio 7 2011 On the polynomiality of finding \(^K\text{DMDGP}\) re-orders. Zbl 1419.05037Lavor, Carlile; Souza, Michael; Carvalho, Luiz Mariano; Liberti, Leo 7 2019 Improving heuristics for network modularity maximization using an exact algorithm. Zbl 1303.90112Cafieri, Sonia; Hansen, Pierre; Liberti, Leo 6 2014 Formulation symmetries in circle packing. Zbl 1274.90500Costa, Alberto; Liberti, Leo; Hansen, Pierre 6 2010 Orbital shrinking. Zbl 1370.90209Fischetti, Matteo; Liberti, Leo 6 2012 Comparison of deterministic and stochastic approaches to global optimization. Zbl 1131.90437Liberti, Leo; Kucherenko, Sergei 6 2005 A symmetry-based splitting strategy for discretizable distance geometry problems. Zbl 1405.90134Fidalgo, Felipe; Gonçalves, Douglas S.; Lavor, Carlile; Liberti, Leo; Mucherino, Antonio 6 2018 Divisive heuristic for modularity density maximization. Zbl 1349.90850Costa, Alberto; Kushnarev, Sergey; Liberti, Leo; Sun, Zeyu 5 2016 Mathematical programming: Turing completeness and applications to software analysis. Zbl 1358.68073Liberti, Leo; Marinelli, Fabrizio 5 2014 Shortest paths on dynamic graphs. Zbl 1188.90267Nannicini, Giacomo; Liberti, Leo 5 2008 Edge-swapping algorithms for the minimum fundamental cycle basis problem. Zbl 1163.90036Amaldi, Edoardo; Liberti, Leo; Maffioli, Francesco; Maculan, Nelson 5 2009 Random projections for linear programming. Zbl 1440.90024Vu, Ky; Poirion, Pierre-Louis; Liberti, Leo 5 2018 Alternating current optimal power flow with generator selection. Zbl 1403.90647Salgado, Esteban; Scozzari, Andrea; Tardella, Fabio; Liberti, Leo 5 2018 Undecidability and hardness in mixed-integer nonlinear programming. Zbl 1414.90237Liberti, Leo 5 2019 Gaussian random projections for Euclidean membership problems. Zbl 1415.68259Vu, Ky; Poirion, Pierre-Louis; Liberti, Leo 5 2019 Distance geometry and data science. Zbl 07215401Liberti, Leo 5 2020 The power edge set problem. Zbl 1390.90119Poirion, Pierre-louis; Toubaline, Sonia; D’Ambrosio, Claudia; Liberti, Leo 4 2016 Fast paths in large-scale dynamic road networks. Zbl 1187.90074Nannicini, Giacomo; Baptiste, Philippe; Barbier, Gilles; Krob, Daniel; Liberti, Leo 4 2010 Optimal configuration of gamma ray machine radiosurgery units: The sphere covering subproblem. Zbl 1154.90347Liberti, Leo; Maculan, Nelson; Zhang, Yue 4 2009 Distance geometry in linearizable norms. Zbl 1428.51005D’Ambrosio, Claudia; Liberti, Leo 4 2017 Static analysis by abstract interpretation: a mathematical programming approach. Zbl 1342.68086Goubault, Eric; Le Roux, Stéphane; Leconte, Jeremy; Liberti, Leo; Marinelli, Fabrizio 4 2010 Modularity maximization in networks by variable neighborhood search. Zbl 1276.90055Aloise, Daniel; Caporossi, Gilles; Hansen, Pierre; Liberti, Leo; Perron, Sylvain; Ruiz, Manuel 4 2013 On the composition of convex envelopes for quadrilinear terms. Zbl 1309.90062Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo; Miller, Andrew J. 4 2013 Twelve surveys in operations research. Zbl 1349.90004Liberti, Leo; Marchant, Thierry; Martello, Silvano 4 2016 Algorithms for finding minimum fundamental cycle bases in graphs. Zbl 1152.05370Amaldi, Edoardo; Liberti, Leo; Maffioli, Francesco; Maculan, Nelson 4 2004 Random projections for quadratic programs over a Euclidean ball. Zbl 1436.90098Vu, Ky; Poirion, Pierre-Louis; D’Ambrosio, Claudia; Liberti, Leo 4 2019 On the Weber facility location problem with limited distances and side constraints. Zbl 1294.90033Fernandes, Isaac F.; Aloise, Daniel; Aloise, Dario J.; Hansen, Pierre; Liberti, Leo 4 2014 Diagonally dominant programming in distance geometry. Zbl 1451.51007Dias, Gustavo; Liberti, Leo 4 2016 Is the distance geometry problem in NP? Zbl 1271.68111Beeker, Nathanael; Gaubert, Stéphane; Glusa, Christian; Liberti, Leo 3 2013 Mathematical models and a constructive heuristic for finding minimum fundamental cycle bases. Zbl 1274.90462Liberti, Leo; Amaldi, Edoardo; Maffioli, Francesco 3 2005 Efficient computation of shortest paths in time-dependent multi-modal networks. Zbl 1348.90105Kirchler, Dominik; Liberti, Leo; Calvo, Roberto Wolfler 3 2014 Preface to the special issue on “Many faces of distances”. Zbl 1355.00041 3 2016 Editorial: Reformulation techniques in mathematical programming. Zbl 1170.90304Liberti, Leo; Maculan, Nelson 3 2009 Barvinok’s naive algorithm in distance geometry. Zbl 1476.90286Liberti, Leo; Vu, Ky 3 2018 Realizing Euclidean distance matrices by sphere intersection. Zbl 1420.51009Alencar, Jorge; Lavor, Carlile; Liberti, Leo 3 2019 Mathematical programming formulations for the alternating current optimal power flow problem. Zbl 07347306Bienstock, Dan; Escobar, Mauro; Gentile, Claudio; Liberti, Leo 3 2020 Random projections for quadratic programs. Zbl 1453.90112D’Ambrosio, Claudia; Liberti, Leo; Poirion, Pierre-Louis; Vu, Ky 3 2020 Edge cover by connected bipartite subgraphs. Zbl 1225.90146Liberti, Leo; Alfandari, Laurent; Plateau, Marie-Christine 2 2011 Comparison of convex relaxations for monomials of odd degree. Zbl 1095.90590Liberti, Leo 2 2003 Distance geometry on the sphere. Zbl 1482.51009Liberti, Leo; Swirszcz, Grzegorz; Lavor, Carlile 2 2016 A two-phase heuristic for the bottleneck \(k\)-hyperplane clustering problem. Zbl 1287.90036Amaldi, Edoardo; Dhyani, Kanika; Liberti, Leo 2 2013 UniALT for regular language contrained shortest paths on a multi-modal transportation network. Zbl 1247.90052Kirchler, Dominik; Liberti, Leo; Pajor, Thomas; Wolfler Calvo, Roberto 2 2011 On a relationship between graph realizability and distance matrix completion. Zbl 1375.05124Liberti, Leo; Lavor, Carlile 2 2013 Mathematical programming formulations for the bottleneck hyperplane clustering problem. Zbl 1160.90599Dhyani, Kanika; Liberti, Leo 2 2008 Mathematical programming formulations for the alternating current optimal power flow problem. Zbl 1492.90201Bienstock, Daniel; Escobar, Mauro; Gentile, Claudio; Liberti, Leo 1 2022 Detecting and solving aircraft conflicts using bilevel programming. Zbl 1478.90123Cerulli, Martina; D’Ambrosio, Claudia; Liberti, Leo; Pelegrín, Mercedes 2 2021 Exploiting symmetries in mathematical programming via orbital independence. Zbl 1467.90051Dias, Gustavo; Liberti, Leo 1 2021 A new algorithm for the \(^K\)DMDGP subclass of distance geometry problems with exact distances. Zbl 07374877Gonçalves, Douglas S.; Lavor, Carlile; Liberti, Leo; Souza, Michael 1 2021 A cycle-based formulation for the distance geometry problem. Zbl 1481.90305Liberti, Leo; Iommazzo, Gabriele; Lavor, Carlile; Maculan, Nelson 1 2021 Polynomial programming prevents aircraft (and other) conflicts. Zbl 07443042Cerulli, Martina; Liberti, Leo 1 2021 Distance geometry and data science. Zbl 07215401Liberti, Leo 5 2020 Mathematical programming formulations for the alternating current optimal power flow problem. Zbl 07347306Bienstock, Dan; Escobar, Mauro; Gentile, Claudio; Liberti, Leo 3 2020 Random projections for quadratic programs. Zbl 1453.90112D’Ambrosio, Claudia; Liberti, Leo; Poirion, Pierre-Louis; Vu, Ky 3 2020 Algorithms and applications for a class of bilevel MILPs. Zbl 1435.90086Poirion, Pierre-Louis; Toubaline, Sonia; D’Ambrosio, Claudia; Liberti, Leo 1 2020 On an SDP relaxation for kissing number. Zbl 1442.90140Lee, Jon; Liberti, Leo 1 2020 QPLIB: a library of quadratic programming instances. Zbl 1435.90099Furini, Fabio; Traversi, Emiliano; Belotti, Pietro; Frangioni, Antonio; Gleixner, Ambros; Gould, Nick; Liberti, Leo; Lodi, Andrea; Misener, Ruth; Mittelmann, Hans; Sahinidis, Nikolaos V.; Vigerske, Stefan; Wiegele, Angelika 18 2019 Minimal NMR distance information for rigidity of protein graphs. Zbl 1405.05178Lavor, Carlile; Liberti, Leo; Donald, Bruce; Worley, Bradley; Bardiaux, Benjamin; Malliavin, Thérèse E.; Nilges, Michael 14 2019 On the polynomiality of finding \(^K\text{DMDGP}\) re-orders. Zbl 1419.05037Lavor, Carlile; Souza, Michael; Carvalho, Luiz Mariano; Liberti, Leo 7 2019 Undecidability and hardness in mixed-integer nonlinear programming. Zbl 1414.90237Liberti, Leo 5 2019 Gaussian random projections for Euclidean membership problems. Zbl 1415.68259Vu, Ky; Poirion, Pierre-Louis; Liberti, Leo 5 2019 Random projections for quadratic programs over a Euclidean ball. Zbl 1436.90098Vu, Ky; Poirion, Pierre-Louis; D’Ambrosio, Claudia; Liberti, Leo 4 2019 Realizing Euclidean distance matrices by sphere intersection. Zbl 1420.51009Alencar, Jorge; Lavor, Carlile; Liberti, Leo 3 2019 Flying safely by bilevel programming. Zbl 1455.90021Cerulli, Martina; D’Ambrosio, Claudia; Liberti, Leo 2 2019 Tuning interval branch-and-prune for protein structure determination. Zbl 1422.92109Worley, Bradley; Delhommel, Florent; Cordier, Florence; Malliavin, Thérèse E.; Bardiaux, Benjamin; Wolff, Nicolas; Nilges, Michael; Lavor, Carlile; Liberti, Leo 11 2018 Open research areas in distance geometry. Zbl 1420.51011Liberti, Leo; Lavor, Carlile 8 2018 A symmetry-based splitting strategy for discretizable distance geometry problems. Zbl 1405.90134Fidalgo, Felipe; Gonçalves, Douglas S.; Lavor, Carlile; Liberti, Leo; Mucherino, Antonio 6 2018 Random projections for linear programming. Zbl 1440.90024Vu, Ky; Poirion, Pierre-Louis; Liberti, Leo 5 2018 Alternating current optimal power flow with generator selection. Zbl 1403.90647Salgado, Esteban; Scozzari, Andrea; Tardella, Fabio; Liberti, Leo 5 2018 Barvinok’s naive algorithm in distance geometry. Zbl 1476.90286Liberti, Leo; Vu, Ky 3 2018 Recent advances on the interval distance geometry problem. Zbl 1382.90084Gonçalves, Douglas S.; Mucherino, Antonio; Lavor, Carlile; Liberti, Leo 18 2017 Euclidean distance geometry. An introduction. Zbl 1492.51002Liberti, Leo; Lavor, Carlile 16 2017 An introduction to distance geometry applied to molecular geometry. Zbl 1403.92001Lavor, Carlile; Liberti, Leo; Lodwick, Weldon A.; Mendonça da Costa, Tiago 11 2017 New error measures and methods for realizing protein graphs from distance data. Zbl 1358.05085D’Ambrosio, Claudia; Vu, Ky; Lavor, Carlile; Liberti, Leo; Maculan, Nelson 11 2017 Surrogate-based methods for black-box optimization. Zbl 1366.90196Vu, Ky Khac; D’Ambrosio, Claudia; Hamadi, Youssef; Liberti, Leo 9 2017 Distance geometry in linearizable norms. Zbl 1428.51005D’Ambrosio, Claudia; Liberti, Leo 4 2017 A multiplicative weights update algorithm for MINLP. Zbl 1396.90050Mencarelli, Luca; Sahraoui, Youcef; Liberti, Leo 2 2017 The isomap algorithm in distance geometry. Zbl 1432.68521Liberti, Leo; D’Ambrosio, Claudia 1 2017 Orbital shrinking: theory and applications. Zbl 1406.90081Fischetti, Matteo; Liberti, Leo; Salvagnin, Domenico; Walsh, Toby 1 2017 Six mathematical gems from the history of distance geometry. Zbl 1362.51002Liberti, Leo; Lavor, Carlile 18 2016 Divisive heuristic for modularity density maximization. Zbl 1349.90850Costa, Alberto; Kushnarev, Sergey; Liberti, Leo; Sun, Zeyu 5 2016 The power edge set problem. Zbl 1390.90119Poirion, Pierre-louis; Toubaline, Sonia; D’Ambrosio, Claudia; Liberti, Leo 4 2016 Twelve surveys in operations research. Zbl 1349.90004Liberti, Leo; Marchant, Thierry; Martello, Silvano 4 2016 Diagonally dominant programming in distance geometry. Zbl 1451.51007Dias, Gustavo; Liberti, Leo 4 2016 Preface to the special issue on “Many faces of distances”. Zbl 1355.00041 3 2016 Distance geometry on the sphere. Zbl 1482.51009Liberti, Leo; Swirszcz, Grzegorz; Lavor, Carlile 2 2016 Constraint qualification failure in action. Zbl 1380.90089Hijazi, Hassan; Liberti, Leo 2 2016 Discretization vertex orders in distance geometry. Zbl 1321.05029Cassioli, Andrea; Günlük, Oktay; Lavor, Carlile; Liberti, Leo 27 2015 Observing the state of a smart grid using bilevel programming. Zbl 1477.90009Toubaline, Sonia; Poirion, Pierre-Louis; D’Ambrosio, Claudia; Liberti, Leo 2 2015 Orbital independence in symmetric mathematical programs. Zbl 1478.90096Dias, Gustavo; Liberti, Leo 2 2015 An algorithm for realizing Euclidean distance matrices. Zbl 1349.68290Alencar, Jorge; Bonates, Tibérius; Lavor, Carlile; Liberti, Leo 1 2015 Euclidean distance geometry and applications. Zbl 1292.51010Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Mucherino, Antonio 99 2014 On the number of realizations of certain Henneberg graphs arising in protein conformation. Zbl 1288.05121Liberti, Leo; Masson, Benoît; Lee, Jon; Lavor, Carlile; Mucherino, Antonio 27 2014 Stabilizer-based symmetry breaking constraints for mathematical programs. Zbl 1312.90077Liberti, Leo; Ostrowski, James 9 2014 Improving heuristics for network modularity maximization using an exact algorithm. Zbl 1303.90112Cafieri, Sonia; Hansen, Pierre; Liberti, Leo 6 2014 Mathematical programming: Turing completeness and applications to software analysis. Zbl 1358.68073Liberti, Leo; Marinelli, Fabrizio 5 2014 On the Weber facility location problem with limited distances and side constraints. Zbl 1294.90033Fernandes, Isaac F.; Aloise, Daniel; Aloise, Dario J.; Hansen, Pierre; Liberti, Leo 4 2014 Efficient computation of shortest paths in time-dependent multi-modal networks. Zbl 1348.90105Kirchler, Dominik; Liberti, Leo; Calvo, Roberto Wolfler 3 2014 The interval branch-and-prune algorithm for the discretizable molecular distance geometry problem with inexact distances. Zbl 1272.90074Lavor, Carlile; Liberti, Leo; Mucherino, Antonio 49 2013 Distance geometry. Theory, methods, and applications. Zbl 1256.51002 21 2013 Counting the number of solutions of \(^{\mathrm{K}}\)DMDGP instances. Zbl 1405.05083Liberti, Leo; Lavor, Carlile; Alencar, Jorge; Abud, Germano 12 2013 The discretizable molecular distance geometry problem seems easier on proteins. Zbl 1366.92094Liberti, Leo; Lavor, Carlile; Mucherino, Antonio 11 2013 On the impact of symmetry-breaking constraints on spatial branch-and-bound for circle packing in a square. Zbl 1262.90143Costa, Alberto; Hansen, Pierre; Liberti, Leo 8 2013 Modularity maximization in networks by variable neighborhood search. Zbl 1276.90055Aloise, Daniel; Caporossi, Gilles; Hansen, Pierre; Liberti, Leo; Perron, Sylvain; Ruiz, Manuel 4 2013 On the composition of convex envelopes for quadrilinear terms. Zbl 1309.90062Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo; Miller, Andrew J. 4 2013 Is the distance geometry problem in NP? Zbl 1271.68111Beeker, Nathanael; Gaubert, Stéphane; Glusa, Christian; Liberti, Leo 3 2013 A two-phase heuristic for the bottleneck \(k\)-hyperplane clustering problem. Zbl 1287.90036Amaldi, Edoardo; Dhyani, Kanika; Liberti, Leo 2 2013 On a relationship between graph realizability and distance matrix completion. Zbl 1375.05124Liberti, Leo; Lavor, Carlile 2 2013 The anonymous subgraph problem. Zbl 1349.05321Bettinelli, Andrea; Liberti, Leo; Raimondi, Franco; Savourey, David 1 2013 The discretizable molecular distance geometry problem. Zbl 1259.90153Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio 50 2012 The discretizable distance geometry problem. Zbl 1258.90100Mucherino, A.; Lavor, C.; Liberti, L. 36 2012 Recent advances on the discretizable molecular distance geometry problem. Zbl 1253.05132Lavor, Carlile; Liberti, Leo; Maculan, Nelson; Mucherino, Antonio 36 2012 A storm of feasibility pumps for nonconvex MINLP. Zbl 1257.90056D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea 29 2012 Reformulations in mathematical programming: automatic symmetry detection and exploitation. Zbl 1235.90103Liberti, Leo 26 2012 Discretization orders for distance geometry problems. Zbl 1258.90096Lavor, Carlile; Lee, Jon; John, Audrey Lee-St.; Liberti, Leo 26 2012 An improved column generation algorithm for minimum sum-of-squares clustering. Zbl 1236.90095Aloise, Daniel; Hansen, Pierre; Liberti, Leo 21 2012 Bidirectional \(A^*\) search on time-dependent road networks. Zbl 1241.90019Nannicini, Giacomo; Delling, Daniel; Schultes, Dominik; Liberti, Leo 11 2012 Reduced RLT representations for nonconvex polynomial programming problems. Zbl 1244.90185Sherali, Hanif D.; Dalkiran, Evrim; Liberti, Leo 10 2012 Symmetry in mathematical programming. Zbl 1242.90236Liberti, Leo 9 2012 Orbital shrinking. Zbl 1370.90209Fischetti, Matteo; Liberti, Leo 6 2012 A matroid view of key theorems for edge-swapping algorithms. Zbl 1272.90107Lee, Jon; Liberti, Leo 1 2012 Molecular distance geometry methods: from continuous to discrete. Zbl 1219.90177Liberti, Leo; Lavor, Carlile; Mucherino, Antonio; Maculan, Nelson 38 2011 A recipe for finding good solutions to MINLPs. Zbl 1276.90041Liberti, Leo; Mladenović, Nenad; Nannicini, Giacomo 21 2011 On the computation of protein backbones by using artificial backbones of hydrogens. Zbl 1219.90209Lavor, C.; Mucherino, A.; Liberti, L.; Maculan, N. 14 2011 Improved strategies for branching on general disjunctions. Zbl 1229.90104Cornuéjols, G.; Liberti, L.; Nannicini, G. 9 2011 On the number of solutions of the discretizable molecular distance geometry problem. Zbl 1342.90168Liberti, Leo; Masson, Benoît; Lee, Jon; Lavor, Carlile; Mucherino, Antonio 7 2011 Edge cover by connected bipartite subgraphs. Zbl 1225.90146Liberti, Leo; Alfandari, Laurent; Plateau, Marie-Christine 2 2011 UniALT for regular language contrained shortest paths on a multi-modal transportation network. Zbl 1247.90052Kirchler, Dominik; Liberti, Leo; Pajor, Thomas; Wolfler Calvo, Roberto 2 2011 Feasibility-based bounds tightening via fixed points. Zbl 1311.90189Belotti, Pietro; Cafieri, Sonia; Lee, Jon; Liberti, Leo 21 2010 On convex relaxations of quadrilinear terms. Zbl 1202.90236Cafieri, Sonia; Lee, Jon; Liberti, Leo 19 2010 On interval-subgradient and no-good cuts. Zbl 1202.90238D’Ambrosio, Claudia; Frangioni, Antonio; Liberti, Leo; Lodi, Andrea 14 2010 MD-jeep: an implementation of a branch and prune algorithm for distance geometry problems. Zbl 1294.68144Mucherino, Antonio; Liberti, Leo; Lavor, Carlile 13 2010 The reformulation-optimization software engine. Zbl 1294.68160Liberti, Leo; Cafieri, Sonia; Savourey, David 9 2010 Formulation symmetries in circle packing. Zbl 1274.90500Costa, Alberto; Liberti, Leo; Hansen, Pierre 6 2010 Fast paths in large-scale dynamic road networks. Zbl 1187.90074Nannicini, Giacomo; Baptiste, Philippe; Barbier, Gilles; Krob, Daniel; Liberti, Leo 4 2010 Static analysis by abstract interpretation: a mathematical programming approach. Zbl 1342.68086Goubault, Eric; Le Roux, Stéphane; Leconte, Jeremy; Liberti, Leo; Marinelli, Fabrizio 4 2010 Mathematical programming based debugging. Zbl 1274.68077Liberti, Leo; Le Roux, Stéphane; Leconte, Jeremy; Marinelli, Fabrizio 1 2010 Branching and bounds tightening techniques for non-connvex MINLP. Zbl 1179.90237Belotti, Pietro; Lee, Jon; Liberti, Leo; Margot, François; Wächter, Andreas 197 2009 Reformulations in mathematical programming: Definitions and systematics. Zbl 1158.90390Liberti, Leo 22 2009 Double variable neighbourhood search with smoothing for the molecular distance geometry problem. Zbl 1169.90470Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Marinelli, Fabrizio 18 2009 On the definition of artificial backbones for the discretizable molecular distance geometry problem. Zbl 1190.92009Mucherino, Antonio; Lavor, Carlile; Liberti, Leo; Maculan, Nelson 15 2009 Reformulation in mathematical programming: An application to quantum chemistry. Zbl 1173.90494Liberti, Leo; Lavor, Carlile; Maculan, Nelson; Nascimento, Marco Antonio Chaer 7 2009 Edge-swapping algorithms for the minimum fundamental cycle basis problem. Zbl 1163.90036Amaldi, Edoardo; Liberti, Leo; Maffioli, Francesco; Maculan, Nelson 5 2009 Optimal configuration of gamma ray machine radiosurgery units: The sphere covering subproblem. Zbl 1154.90347Liberti, Leo; Maculan, Nelson; Zhang, Yue 4 2009 Editorial: Reformulation techniques in mathematical programming. Zbl 1170.90304Liberti, Leo; Maculan, Nelson 3 2009 ...and 23 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,075 Authors 83 Liberti, Leo 48 Lavor, Carlile Campos 23 Mucherino, Antonio 18 Maculan, Nelson F. 15 D’Ambrosio, Claudia 14 Hansen, Pierre 14 Lee, Jon 13 Floudas, Christodoulos Achilleus 13 Gonçalves, Douglas Soares 13 Lodi, Andrea 13 Sahinidis, Nikolaos V. 12 Misener, Ruth 12 Mladenović, Nenad 11 Gleixner, Ambros M. 9 Locatelli, Marco 8 Aloise, Daniel 8 Berthold, Timo 8 Grossmann, Ignacio E. 7 Barton, Paul I. 7 Cafieri, Sonia 7 Dey, Santanu Subhas 7 Salvagnin, Domenico 6 Elloumi, Sourour 6 Lambert, Amélie 6 Nannicini, Giacomo 6 Poirion, Pierre-Louis 6 Souza, Michael 6 Traversi, Emiliano 5 Belotti, Pietro 5 Costa, Alberto L. C. 5 Fischetti, Matteo 5 Frangioni, Antonio 5 Gounaris, Chrysanthos E. 5 Kallrath, Josef 5 Martello, Silvano 5 Michaels, Dennis 5 Mitsos, Alexander 5 Monaci, Michele 5 Rebennack, Steffen 5 Tawarmalani, Mohit 5 Wiegele, Angelika 4 Alves, Rafael 4 Billionnet, Alain 4 Birgin, Ernesto G. 4 Dalkiran, Evrim 4 Delling, Daniel 4 Dias, Gustavo Fruet 4 Fampa, Marcia Helena C. 4 Fügenschuh, Armin R. 4 Kronqvist, Jan 4 Li, Qingna 4 Linderoth, Jeff T. 4 Marinelli, Fabrizio 4 Martin, Alexander 4 Messine, Frédéric 4 Mittelmann, Hans Detlef 4 Müller, Benjamin 4 Obata, Nobuaki 4 Piccialli, Veronica 4 Sherali, Hanif D. 4 Vielma, Juan Pablo 4 Vigerske, Stefan 4 Vu, Ky Khac 3 Alencar, Jorge 3 Ali, Montaz M. 3 Amaldi, Edoardo 3 Audet, Charles 3 Bartzos, Evangelos 3 Bent, Russell W. 3 Bernal, David E. 3 Bienstock, Daniel 3 Billinge, Simon J. L. 3 Bonami, Pierre 3 Carrizosa, Emilio 3 Carvalho, Luiz Mariano 3 de Salles Neto, Luiz Leduíno 3 Dhyani, Kanika 3 Duxbury, Phillip M. 3 Emiris, Ioannis Z. 3 Geißler, Björn 3 Goerigk, Marc 3 Grimstad, Bjarne 3 Hendrix, Eligius M. T. 3 Hojny, Christopher 3 Hughes, Martin 3 Jackson, Bill 3 Jordán, Tibor 3 Khajavirad, Aida 3 Krislock, Nathan 3 Lehmann, Thomas 3 Létocart, Lucas 3 Martínez, José Mario 3 Martini, Horst 3 Mehrotra, Sanjay 3 Melo, Wendel A. X. 3 Morsi, Antonio 3 Muñoz, Gonzalo 3 Nagarajan, Harsha 3 Nixon, Anthony 3 Nowak, Ivo ...and 975 more Authors all top 5 Cited in 117 Serials 114 Journal of Global Optimization 39 Mathematical Programming. Series A. 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