Edit Profile (opens in new tab) Gomory, Ralph E. Co-Author Distance Author ID: gomory.ralph-e Published as: Gomory, R. E.; Gomory, Ralph E.; Gomory, R.; Gomory, Ralph more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 43 Publications since 1951 Biographic References: 1 Publication Co-Authors: 11 Co-Authors with 20 Joint Publications 217 Co-Co-Authors all top 5 Co-Authors 19 single-authored 6 Gilmore, Paul C. 6 Johnson, Ellis L. 2 Baumol, William J. 2 Evans, Lisa 2 Hoffman, Alan J. 1 Araoz, Julian 1 Balinski, Michel Louis 1 Haas, Felix 1 Hsu, Nai-Chao 1 Richmond, Donald E. 1 Yohe, J. Michael all top 5 Serials 6 Operations Research 5 Proceedings of the National Academy of Sciences of the United States of America 3 Mathematical Programming. Series A. Series B 3 Journal of the Society for Industrial & Applied Mathematics 2 Mathematical Programming 2 Annals of Mathematics. Second Series 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Econometrica 1 Journal of Economic Theory 1 Quarterly of Applied Mathematics 1 Annals of Operations Research 1 European Journal of Operational Research 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society 1 Naval Research Logistics Quarterly 1 Annals of Mathematics Studies all top 5 Fields 23 Operations research, mathematical programming (90-XX) 5 Convex and discrete geometry (52-XX) 3 History and biography (01-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Numerical analysis (65-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 2,295 times in 1,533 Documents Cited by ▼ Year ▼ A linear programming approach to the cutting-stock problem. Zbl 0096.35501 Gilmore, P. C.; Gomory, R. E. 411 1961 A linear programming approach to the cutting stock problem. II. Zbl 0124.36307 Gilmore, P. C.; Gomory, R. E. 236 1963 Multi-terminal networks flows. Zbl 0112.12405 Gomory, R. E.; Hu, T. C. 202 1961 Multistage cutting stock problems of two and more dimensions. Zbl 0128.39601 Gilmore, P. C.; Gomory, R. E. 184 1965 Outline of an algorithm for integer solutions to linear programs. Zbl 0085.35807 Gomory, Ralph E. 179 1958 Some polyhedra related to combinatorial problems. Zbl 0184.23103 Gomory, R. E. 166 1969 Sequencing a one state-variable machine: a solvable case of the traveling salesman problem. Zbl 0126.36006 Gilmore, P.; Gomory, R. 150 1964 The theory and computation of knapsack functions. Zbl 0173.21502 Gilmore, P. C.; Gomory, R. E. 145 1967 Some continuous functions related to corner polyhedra. Zbl 0246.90029 Gomory, Ralph E.; Johnson, Ellis L. 103 1972 Some continuous functions related to corner polyhedra. II. Zbl 0254.90036 Gomory, Ralph E.; Johnson, Ellis L. 79 1972 On the relation between integer and noninteger solutions to linear programs. Zbl 0132.13702 Gomory, R. E. 69 1965 Integer programming and pricing. Zbl 0095.14502 Gomory, Ralph E.; Baumol, William J. 58 1960 An algorithm for integer solutions to linear programs. Zbl 0235.90038 Gomory, Ralph E. 58 1963 T-space and cutting planes. Zbl 1082.90144 Gomory, Ralph E.; Johnson, Ellis L. 46 2003 Corner polyhedra and their connection with cutting planes. Zbl 1082.90145 Gomory, Ralph E.; Johnson, Ellis L.; Evans, Lisa 37 2003 Solving linear programming problems in integers. Zbl 0096.14505 Gomory, R. E. 29 1960 Cyclic group and knapsack facets. Zbl 1082.90094 Aráoz, Julián; Evans, Lisa; Gomory, Ralph E.; Johnson, Ellis L. 28 2003 An application of generalized linear programming to network flows. Zbl 0105.12805 Gomory, R. E.; Hu, T. C. 18 1962 Faces of an integer polyhedron. Zbl 0208.21607 Gomory, R. E. 14 1968 Synthesis of a communication network. Zbl 0222.94003 Gomory, R. E.; Hu, T. C. 13 1964 Trajectories tending to a critical point in 3-space. Zbl 0068.29703 Gomory, Ralph E. 11 1955 Faces of an integer polyhedron. Zbl 0208.21606 Gomory, R. E. 10 1967 Critical points at infinity and forced oscillation. Zbl 0071.08801 Gomory, Ralph E. 9 1956 Large and nonconvex problems in linear programming. Zbl 0129.34101 Gomory, R. E. 7 1963 A mutual primal-dual simplex method. Zbl 0223.90016 Balinski, Michel L.; Gomory, Ralph E. 6 1963 “Outline of an algorithm for integer solutions to linear programs” and “An algorithm for the mixed integer problem”. Zbl 1187.90011 Gomory, Ralph E. 5 2010 The atoms of integer programming. Zbl 1213.90020 Gomory, Ralph E. 4 2007 On the convergence of an integer-programming process. Zbl 0114.36201 Gomory, R. E.; Hoffman, A. J. 4 1963 A solvable case of the traveling salesman problem. Zbl 0116.25001 Gilmore, P. C.; Gomory, R. E. 3 1964 Multi-terminal flows in a network. Zbl 0341.90057 Gomory, R. E.; Hu, T. C. 2 1975 Some polyhedra related to combinatorial problems. Zbl 0245.90019 Gomory, R. E. 2 1970 Early integer programming. Zbl 1163.90663 Gomory, Ralph E. 2 2002 Origin and early evolution of corner polyhedra. Zbl 1346.90613 Gomory, Ralph 2 2016 Properties of a class of integer polyhedra. Zbl 0334.90040 Gomory, R. E. 1 1970 Boundaries for the limit cycle of van der Pol’s equation. Zbl 0043.12504 Gomory, R.; Richmond, D. E. 1 1951 The group problems and subadditive functions. Zbl 0274.90030 Gomory, Ralph E.; Johnson, Ellis L. 1 1973 Origin and early evolution of corner polyhedra. Zbl 1346.90613 Gomory, Ralph 2 2016 “Outline of an algorithm for integer solutions to linear programs” and “An algorithm for the mixed integer problem”. Zbl 1187.90011 Gomory, Ralph E. 5 2010 The atoms of integer programming. Zbl 1213.90020 Gomory, Ralph E. 4 2007 T-space and cutting planes. Zbl 1082.90144 Gomory, Ralph E.; Johnson, Ellis L. 46 2003 Corner polyhedra and their connection with cutting planes. Zbl 1082.90145 Gomory, Ralph E.; Johnson, Ellis L.; Evans, Lisa 37 2003 Cyclic group and knapsack facets. Zbl 1082.90094 Aráoz, Julián; Evans, Lisa; Gomory, Ralph E.; Johnson, Ellis L. 28 2003 Early integer programming. Zbl 1163.90663 Gomory, Ralph E. 2 2002 Multi-terminal flows in a network. Zbl 0341.90057 Gomory, R. E.; Hu, T. C. 2 1975 The group problems and subadditive functions. Zbl 0274.90030 Gomory, Ralph E.; Johnson, Ellis L. 1 1973 Some continuous functions related to corner polyhedra. Zbl 0246.90029 Gomory, Ralph E.; Johnson, Ellis L. 103 1972 Some continuous functions related to corner polyhedra. II. Zbl 0254.90036 Gomory, Ralph E.; Johnson, Ellis L. 79 1972 Some polyhedra related to combinatorial problems. Zbl 0245.90019 Gomory, R. E. 2 1970 Properties of a class of integer polyhedra. Zbl 0334.90040 Gomory, R. E. 1 1970 Some polyhedra related to combinatorial problems. Zbl 0184.23103 Gomory, R. E. 166 1969 Faces of an integer polyhedron. Zbl 0208.21607 Gomory, R. E. 14 1968 The theory and computation of knapsack functions. Zbl 0173.21502 Gilmore, P. C.; Gomory, R. E. 145 1967 Faces of an integer polyhedron. Zbl 0208.21606 Gomory, R. E. 10 1967 Multistage cutting stock problems of two and more dimensions. Zbl 0128.39601 Gilmore, P. C.; Gomory, R. E. 184 1965 On the relation between integer and noninteger solutions to linear programs. Zbl 0132.13702 Gomory, R. E. 69 1965 Sequencing a one state-variable machine: a solvable case of the traveling salesman problem. Zbl 0126.36006 Gilmore, P.; Gomory, R. 150 1964 Synthesis of a communication network. Zbl 0222.94003 Gomory, R. E.; Hu, T. C. 13 1964 A solvable case of the traveling salesman problem. Zbl 0116.25001 Gilmore, P. C.; Gomory, R. E. 3 1964 A linear programming approach to the cutting stock problem. II. Zbl 0124.36307 Gilmore, P. C.; Gomory, R. E. 236 1963 An algorithm for integer solutions to linear programs. Zbl 0235.90038 Gomory, Ralph E. 58 1963 Large and nonconvex problems in linear programming. Zbl 0129.34101 Gomory, R. E. 7 1963 A mutual primal-dual simplex method. Zbl 0223.90016 Balinski, Michel L.; Gomory, Ralph E. 6 1963 On the convergence of an integer-programming process. Zbl 0114.36201 Gomory, R. E.; Hoffman, A. J. 4 1963 An application of generalized linear programming to network flows. Zbl 0105.12805 Gomory, R. E.; Hu, T. C. 18 1962 A linear programming approach to the cutting-stock problem. Zbl 0096.35501 Gilmore, P. C.; Gomory, R. E. 411 1961 Multi-terminal networks flows. Zbl 0112.12405 Gomory, R. E.; Hu, T. C. 202 1961 Integer programming and pricing. Zbl 0095.14502 Gomory, Ralph E.; Baumol, William J. 58 1960 Solving linear programming problems in integers. Zbl 0096.14505 Gomory, R. E. 29 1960 Outline of an algorithm for integer solutions to linear programs. Zbl 0085.35807 Gomory, Ralph E. 179 1958 Critical points at infinity and forced oscillation. Zbl 0071.08801 Gomory, Ralph E. 9 1956 Trajectories tending to a critical point in 3-space. Zbl 0068.29703 Gomory, Ralph E. 11 1955 Boundaries for the limit cycle of van der Pol’s equation. Zbl 0043.12504 Gomory, R.; Richmond, D. E. 1 1951 all cited Publications top 5 cited Publications all top 5 Cited by 2,121 Authors 30 Cornuéjols, Gérard P. 25 Scheithauer, Guntram 23 Basu, Amitabh 20 Johnson, Ellis L. 17 Wolsey, Laurence Alexander 16 Dey, Santanu Subhas 16 Iori, Manuel 16 Lodi, Andrea 15 Arenales, Marcos Nereu 15 Cui, Yaodong 15 Günlük, Oktay 14 Köppe, Matthias 14 Martinovic, John 13 Conforti, Michele 13 Dash, Sanjeeb 13 Hifi, Mhand 13 Valério de Carvalho, José Manuel 12 Sriskandarajah, Chelliah 12 Yanasse, Horacio Hideki 11 Balas, Egon 11 Dovgoshey, Oleksiy Alfredovich 11 Fischetti, Matteo 11 Ibaraki, Toshihide 11 Morabito, Reinaldo 11 Weismantel, Robert 10 Glover, Fred W. 10 Jeroslow, Robert G. 9 Boysen, Nils 9 Di Summa, Marco 9 Letchford, Adam N. 8 Alves, Cláudio 8 Chandrasekaran, Ramaswamy 8 Cherri, Adriana Cristina 8 Chopra, Sunil 8 de Araujo, Silvio Alexandre 8 Desaulniers, Guy 8 Fukasawa, Ricardo 8 Hanafi, Saïd 8 Jörnsten, Kurt O. 8 Margot, François 8 Martello, Silvano 8 Monaci, Michele 8 Pokutta, Sebastian 8 Schaefer, Andrew J. 8 Soumis, François 8 Wäscher, Gerhard 7 Briskorn, Dirk 7 Clautiaux, François 7 Farley, Alan A. 7 Fréville, Arnaud 7 Gradišar, Miro 7 Hildebrand, Robert 7 Jansen, Klaus 7 Kabadi, Santosh Narayan 7 Nagamochi, Hiroshi 7 Paat, Joseph S. 7 Petrov, Evgenii Aleksandrovich 7 Shim, Sangho 7 Terno, Johannes 7 Toth, Paolo 7 Zhou, Yuan 6 Aneja, Yash P. 6 Atamtürk, Alper 6 Blair, Charles E. 6 Bonami, Pierre 6 Cheng, Tai-Chiu Edwin 6 Cook, William John 6 Dell’Amico, Mauro 6 Desrosiers, Jacques 6 Elhallaoui, Issmail 6 Kartak, Vadim Mikhaĭlovich 6 Knust, Sigrid 6 Li, Yanjun 6 Minoux, Michel Andre 6 Miyazawa, Flavio Keidi 6 Molinaro, Marco 6 Nemhauser, George L. 6 Padberg, Manfred W. 6 Poirrier, Laurent 6 Poldi, Kelly Cristina 6 Prokopyev, Oleg Alexan 6 Raidl, Günther R. 6 Richard, Jean-Philippe Pascal 5 Arbib, Claudio 5 Chvátal, Václav 5 Dadush, Daniel 5 Furini, Fabio 5 Gomory, Ralph E. 5 Grötschel, Martin 5 Haessler, Robert W. 5 Hamacher, Horst W. 5 Hassin, Refael 5 Irnich, Stefan 5 Kianfar, Kiavash 5 Lee, Dabeen 5 Liberti, Leo 5 Malaguti, Enrico 5 Marinelli, Fabrizio 5 Munari, Pedro Augusto 5 Muñoz, Gonzalo ...and 2,021 more Authors all top 5 Cited in 191 Serials 277 European Journal of Operational Research 130 Mathematical Programming. Series A. Series B 117 Computers & Operations Research 71 Discrete Applied Mathematics 60 Annals of Operations Research 59 Operations Research Letters 42 Mathematical Programming 36 Discrete Optimization 24 International Transactions in Operational Research 24 Journal of Scheduling 20 International Journal of Production Research 18 Algorithmica 17 Mathematical Programming Computation 16 INFORMS Journal on Computing 15 Discrete Mathematics 14 Mathematical and Computer Modelling 14 OR Spectrum 14 Optimization Letters 13 Information Processing Letters 12 Optimization 12 Journal of Global Optimization 12 Applied Mathematical Modelling 11 Top 11 Journal of Combinatorial Optimization 10 Journal of Optimization Theory and Applications 10 Mathematics of Operations Research 10 Linear Algebra and its Applications 9 Theoretical Computer Science 9 SIAM Journal on Optimization 8 Networks 8 4OR 7 OR Spektrum 7 Zeitschrift für Operations Research. Serie A: Theorie 7 Journal of Heuristics 7 RAIRO. Operations Research 7 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 7 EURO Journal on Computational Optimization 6 Journal of the Franklin Institute 6 Journal of Mathematical Analysis and Applications 6 Information Sciences 6 Naval Research Logistics 6 Operations Research 6 Asia-Pacific Journal of Operational Research 6 Computational Optimization and Applications 6 Mathematical Methods of Operations Research 5 Applied Mathematics and Computation 5 SIAM Journal on Discrete Mathematics 5 CEJOR. Central European Journal of Operations Research 5 Naval Research Logistics Quarterly 5 Unternehmensforschung 4 Computers & Mathematics with Applications 4 Physica A 4 Journal of Computational and Applied Mathematics 4 Journal of Differential Equations 4 SIAM Journal on Computing 4 SIAM Journal on Algebraic and Discrete Methods 4 Combinatorica 4 Theory of Computing Systems 3 Artificial Intelligence 3 International Journal of Mathematical Education in Science and Technology 3 Computing 3 Journal of Mathematical Psychology 3 Statistica Neerlandica 3 Cybernetics 3 European Journal of Combinatorics 3 Graphs and Combinatorics 3 ZOR. Zeitschrift für Operations Research 3 Journal of Mathematical Sciences (New York) 3 Optimization Methods & Software 3 Optimization and Engineering 3 JMMA. Journal of Mathematical Modelling and Algorithms 3 ACM Journal of Experimental Algorithmics 3 Journal of Discrete Algorithms 3 Pesquisa Operacional 3 Computer Science Review 2 Advances in Mathematics 2 Aplikace Matematiky 2 Archiv der Mathematik 2 Calcolo 2 INFOR 2 Journal of Computer and System Sciences 2 Journal of Graph Theory 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Opsearch 2 Moscow University Computational Mathematics and Cybernetics 2 Social Choice and Welfare 2 Trabajos de Investigacion Operativa 2 International Journal of Computer Mathematics 2 Computational and Applied Mathematics 2 Annals of Mathematics and Artificial Intelligence 2 Revista Investigación Operacional 2 Journal of Interdisciplinary Mathematics 2 Journal of Applied Mathematics 2 International Journal of Intelligent Computing and Cybernetics 2 SIAM Journal on Applied Algebra and Geometry 1 Acta Informatica 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 International Journal of Control 1 International Journal of Systems Science ...and 91 more Serials all top 5 Cited in 38 Fields 1,348 Operations research, mathematical programming (90-XX) 186 Computer science (68-XX) 141 Combinatorics (05-XX) 97 Numerical analysis (65-XX) 56 Convex and discrete geometry (52-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 History and biography (01-XX) 16 Number theory (11-XX) 16 Ordinary differential equations (34-XX) 16 General topology (54-XX) 14 Mathematical logic and foundations (03-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Group theory and generalizations (20-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.