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Author ID: gomory.ralph-e Recent zbMATH articles by "Gomory, Ralph E."
Published as: Gomory, R. E.; Gomory, Ralph E.; Gomory, R.; Gomory, Ralph
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

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 2,380 times in 1,577 Documents Cited by Year
A linear programming approach to the cutting-stock problem. Zbl 0096.35501
Gilmore, P. C.; Gomory, R. E.
414
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.
207
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.
181
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.
155
1964
The theory and computation of knapsack functions. Zbl 0173.21502
Gilmore, P. C.; Gomory, R. E.
147
1967
An algorithm for integer solutions to linear programs. Zbl 0235.90038
Gomory, Ralph E.
109
1963
Some continuous functions related to corner polyhedra. Zbl 0246.90029
Gomory, Ralph E.; Johnson, Ellis L.
105
1972
Some continuous functions related to corner polyhedra. II. Zbl 0254.90036
Gomory, Ralph E.; Johnson, Ellis L.
80
1972
On the relation between integer and noninteger solutions to linear programs. Zbl 0132.13702
Gomory, R. E.
72
1965
Integer programming and pricing. Zbl 0095.14502
Gomory, Ralph E.; Baumol, William J.
58
1960
T-space and cutting planes. Zbl 1082.90144
Gomory, Ralph E.; Johnson, Ellis L.
47
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.
30
1960
Cyclic group and knapsack facets. Zbl 1082.90094
Aráoz, Julián; Evans, Lisa; Gomory, Ralph E.; Johnson, Ellis L.
30
2003
An application of generalized linear programming to network flows. Zbl 0105.12805
Gomory, R. E.; Hu, T. C.
19
1962
Synthesis of a communication network. Zbl 0222.94003
Gomory, R. E.; Hu, T. C.
14
1964
Faces of an integer polyhedron. Zbl 0208.21607
Gomory, R. E.
14
1968
Faces of an integer polyhedron. Zbl 0208.21606
Gomory, R. E.
11
1967
Trajectories tending to a critical point in 3-space. Zbl 0068.29703
Gomory, Ralph E.
11
1955
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.
6
2010
On the convergence of an integer-programming process. Zbl 0114.36201
Gomory, R. E.; Hoffman, A. J.
4
1963
The atoms of integer programming. Zbl 1213.90020
Gomory, Ralph E.
4
2007
A solvable case of the traveling salesman problem. Zbl 0116.25001
Gilmore, P. C.; Gomory, R. E.
3
1964
The group problems and subadditive functions. Zbl 0274.90030
Gomory, Ralph E.; Johnson, Ellis L.
3
1973
Origin and early evolution of corner polyhedra. Zbl 1346.90613
Gomory, Ralph
2
2016
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
Properties of a class of integer polyhedra. Zbl 0334.90040
Gomory, R. E.
2
1970
Multi-terminal flows in a network. Zbl 0341.90057
Gomory, R. E.; Hu, T. C.
2
1975
Boundaries for the limit cycle of van der Pol’s equation. Zbl 0043.12504
Gomory, R.; Richmond, D. E.
1
1951
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.
6
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.
47
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.
30
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.
3
1973
Some continuous functions related to corner polyhedra. Zbl 0246.90029
Gomory, Ralph E.; Johnson, Ellis L.
105
1972
Some continuous functions related to corner polyhedra. II. Zbl 0254.90036
Gomory, Ralph E.; Johnson, Ellis L.
80
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.
2
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.
147
1967
Faces of an integer polyhedron. Zbl 0208.21606
Gomory, R. E.
11
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.
72
1965
Sequencing a one state-variable machine: a solvable case of the traveling salesman problem. Zbl 0126.36006
Gilmore, P.; Gomory, R.
155
1964
Synthesis of a communication network. Zbl 0222.94003
Gomory, R. E.; Hu, T. C.
14
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.
109
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.
19
1962
A linear programming approach to the cutting-stock problem. Zbl 0096.35501
Gilmore, P. C.; Gomory, R. E.
414
1961
Multi-terminal networks flows. Zbl 0112.12405
Gomory, R. E.; Hu, T. C.
207
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.
30
1960
Outline of an algorithm for integer solutions to linear programs. Zbl 0085.35807
Gomory, Ralph E.
181
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 top 5

Cited by 2,186 Authors

31 Cornuéjols, Gérard P.
25 Scheithauer, Guntram
24 Basu, Amitabh
20 Johnson, Ellis L.
17 Günlük, Oktay
17 Wolsey, Laurence Alexander
16 Dey, Santanu Subhas
16 Iori, Manuel
16 Lodi, Andrea
15 Arenales, Marcos Nereu
15 Cui, Yaodong
15 Dash, Sanjeeb
15 Köppe, Matthias
14 Martinovic, John
14 Valério de Carvalho, José Manuel
13 Conforti, Michele
13 Hifi, Mhand
12 Morabito, Reinaldo
12 Sriskandarajah, Chelliah
12 Yanasse, Horacio Hideki
11 Balas, Egon
11 Dovgoshey, Oleksiy Alfredovich
11 Fischetti, Matteo
11 Ibaraki, Toshihide
11 Jeroslow, Robert G.
11 Weismantel, Robert
10 Boysen, Nils
10 Glover, Fred W.
10 Letchford, Adam N.
9 Alves, Cláudio
9 Di Summa, Marco
9 Margot, François
9 Pokutta, Sebastian
8 Bonami, Pierre
8 Chandrasekaran, Ramaswamy
8 Cherri, Adriana Cristina
8 Chopra, Sunil
8 Clautiaux, François
8 de Araujo, Silvio Alexandre
8 Desaulniers, Guy
8 Fukasawa, Ricardo
8 Hanafi, Saïd
8 Hildebrand, Robert
8 Jansen, Klaus
8 Jörnsten, Kurt O.
8 Martello, Silvano
8 Monaci, Michele
8 Schaefer, Andrew J.
8 Soumis, François
8 Wäscher, Gerhard
8 Zhou, Yuan
7 Briskorn, Dirk
7 Cook, William John
7 Farley, Alan A.
7 Fréville, Arnaud
7 Gradišar, Miro
7 Kabadi, Santosh Narayan
7 Molinaro, Marco
7 Nagamochi, Hiroshi
7 Paat, Joseph S.
7 Petrov, Evgenii Aleksandrovich
7 Shim, Sangho
7 Terno, Johannes
7 Toth, Paolo
6 Aneja, Yash P.
6 Atamtürk, Alper
6 Blair, Charles E.
6 Cheng, Tai-Chiu Edwin
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 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 Austin, Larry M.
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 Laporte, Gilbert
5 Lee, Dabeen
5 Liberti, Leo
5 Malaguti, Enrico
5 Marinelli, Fabrizio
...and 2,086 more Authors
all top 5

Cited in 193 Serials

285 European Journal of Operational Research
133 Mathematical Programming. Series A. Series B
119 Computers & Operations Research
72 Discrete Applied Mathematics
65 Operations Research Letters
60 Annals of Operations Research
42 Mathematical Programming
38 Discrete Optimization
25 International Transactions in Operational Research
24 Journal of Scheduling
20 International Journal of Production Research
18 Algorithmica
17 Mathematical Programming Computation
16 Discrete Mathematics
16 INFORMS Journal on Computing
14 Mathematical and Computer Modelling
14 OR Spectrum
14 Optimization Letters
13 Information Processing Letters
13 Journal of Global Optimization
12 Optimization
12 Applied Mathematical Modelling
12 Journal of Combinatorial Optimization
11 Journal of Optimization Theory and Applications
11 Networks
11 Linear Algebra and its Applications
11 Top
10 Mathematics of Operations Research
10 Naval Research Logistics
10 Theoretical Computer Science
9 SIAM Journal on Optimization
9 EURO Journal on Computational Optimization
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
6 Journal of the Franklin Institute
6 Journal of Mathematical Analysis and Applications
6 Information Sciences
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 Graph Theory
3 Journal of Mathematical Psychology
3 Opsearch
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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Moscow University Computational Mathematics and Cybernetics
2 Social Choice and Welfare
2 Information and Computation
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
...and 93 more Serials
all top 5

Cited in 38 Fields

1,388 Operations research, mathematical programming (90-XX)
191 Computer science (68-XX)
142 Combinatorics (05-XX)
100 Numerical analysis (65-XX)
58 Convex and discrete geometry (52-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 History and biography (01-XX)
16 Mathematical logic and foundations (03-XX)
16 Number theory (11-XX)
16 Ordinary differential equations (34-XX)
16 General topology (54-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)
4 Algebraic geometry (14-XX)
4 Systems theory; control (93-XX)
3 Operator theory (47-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

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