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Integer Programming (1998)  (Make Corrections)  
Vijay Chandru, M.R. Rao
Algorithms and Theory of Computation Handbook, CRC Press, 1999



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Abstract: Integer programming is an expressive framework for modeling and solving discrete optimization problems that arise in a variety of contexts in the engineering sciences. Integer programming representations work with implicit algebraic constraints (linear equations and inequalities on integer valued variables) to capture the feasible set of alternatives, and linear objective functions (to minimize or maximize over the feasible set) that specify the criterion for defining optimality. This... (Update)

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BibTeX entry:   (Update)

@incollection{ chandru99integer,
    author = "Chandru and Rao",
    title = "Integer Programming",
    booktitle = "Algorithms and Theory of Computation Handbook, {CRC} Press, 1999",
    year = "1999",
    url = "citeseer.ist.psu.edu/chandru98integer.html" }
Citations (may not include all citations):
717   Theory of Linear and Integer Programming (context) - Schrijver - 1986
518   Integer and Combinatorial Optimization (context) - Nemhauser, Wolsey - 1988
482   Combinatorial Optimization: Algorithms and Complexity (context) - Papadimitriou, Steiglitz - 1982
448   A New Polynomial-Time Algorithm for Linear Programming (context) - Karmarkar - 1984
403   Proof verification and hardness of approximation problems - Arora, Lund et al. - 1992
333   Geometric Algorithms and Combinatorial Optimization (context) - Grotschel, Lov'asz et al. - 1988
230   Interior point methods in semidefinite programming with appl.. - Alizadeh - 1995
227   Factoring Polynomials with Rational Coefficients (context) - Lenstra, Jr et al. - 1982
219   and complexity classes (context) - Papadimitriou, Yannakakis et al. - 1991
218   AMPL: A Modeling Language for Mathematical Programming (context) - Fourer, Gay et al. - 1993
186   Randomized rounding: a technique for provably good algorithm.. (context) - Raghavan, Thompson
151   algorithms and applications (context) - Ahuja, Magnati et al. - 1993
117   The ellipsoid method and its consequences in Combinatorial o.. (context) - Grotschel, Lov'asz et al. - 1982
106   approximation algorithms MAX CUT and MAX 2SAT (context) - Goemans, Williamson - 1994
105   A branch and cut algorithm for the resolution of large scale.. (context) - Padberg, Rinaldi - 1991
100   Integer Programming with a Fixed Number of Variables (context) - Jr - 1983
98   A random polynomial time algorithm for approximating the vol.. - Dyer, Frieze et al. - 1989
84   Partitioning procedures for solving mixed-variables programm.. (context) - Benders - 1962
74   Multi-terminal network flows (context) - Gomory, Hu - 1961
66   Decompositions of regular matroids (context) - Seymour - 1980
60   IEEE Transactions on Information Theory (context) - Lov'asz, Shannon et al. - 1979
53   Integer Programming (context) - Garfinkel, Nemhauser - 1972
50   Polynomial algorithms for computing the Smith and Hermite no.. (context) - Kannan, Bachem - 1979
49   Minkowski's convex body theorem and integer programming (context) - Kannan - 1987
48   Odd minimum cut-sets and b-matching (context) - Padberg, Rao - 1982
45   Validation of Subgradient Optimization (context) - Held, Wolfe et al. - 1974
44   Outline of an algorithm for integer solutions to linear prog.. (context) - Gomory - 1958
42   Edmonds polytopes and a hierarchy of combinatorial problems (context) - Chv'atal - 1973
42   A min-max relation for submodular functions on graphs (context) - Edmonds, Giles - 1977
40   Hermite normal form computation using modulo determinant ari.. (context) - Domich, Kannan et al. - 1987
38   Perfect zero-one matrices (context) - Padberg - 1974
37   Discrete Optimization (context) - Parker, Rardin - 1988
36   An introduction to the geometry of numbers (context) - Cassels - 1971
34   Computing near-optimal solutions to combinatorial optimizati.. - Shmoys - 1995
33   the complexity of computing the volume of a polyhedron (context) - Dyer, Frieze - 1988
33   A Polynomial-time Algorithm for Breaking the Basic Merkle-He.. (context) - Shamir - 1982
32   Computationally related problems (context) - Sahni - 1974
31   Branching rules for satisfiability - Hooker, Vinay - 1995
28   Extended Horn sets in propositional logic (context) - Chandru, Hooker - 1991
28   Optimization Methods for Logical Inference (context) - Chandru, Hooker - 1998
27   matroids and certain polyhedra (context) - Edmonds, functions - 1970
25   Expressing Combinatorial optimization problems by linear pro.. (context) - Yannakakis - 1988
24   Integral boundary points of convex polyhedra (context) - Hoffman, Kruskal - 1956
23   Matroids and the greedy algorithm (context) - Edmonds - 1971
22   Normal hypergraphs and the perfect graph conjecture (context) - Lov'asz - 1972
22   Properties of vertex packing and independence system polyhed.. (context) - Nemhauser, Trotter - 1974
21   Practical problem solving with cutting plane algorithms (context) - Junger, Reinelt et al. - 1995
21   An interior-point approach to NP-complete problems - Part (context) - Karmarkar - 1990
21   Cones of matrices and set functions (context) - Lov'asz, Schrijver - 1991
20   On Linear Characterizations of Combinatorial Optimization Pr.. (context) - Karp, Papadimitriou - 1982
20   Matching well solved class of integer linear programs (context) - Edmonds, Johnson - 1970
20   On certain polytopes associated with graphs (context) - Chvatal - 1975
18   Alpha-balanced graphs and matrices and GF (context) - Truemper - 1992
17   A selection problem of shared fixed costs and network flows (context) - Rhys - 1970
16   Polyhedral Combinatorics (context) - Pulleyblank - 1989
16   Worst-case complexity bounds for algorithms in the theory of.. (context) - Lagarias - 1980
15   Principles and Practice of Constraint Programming (context) - Saraswat, Van Hentenryck - 1995
15   Linear and integer programming applied to the propositional .. (context) - Williams - 1987
13   Polynomial-time algorithms in the theory of linear diophenti.. (context) - Frumkin - 1977
13   Logic-Based Decision Support: Mixed Integer Model Formulatio.. (context) - Jeroslow - 1989
13   A Polynomial algorithm for the Two-variable Integer programm.. (context) - Kannan - 1980
13   Lehman's forbidden minor characterization of ideal (context) - Padberg - 1993
12   Testing membership in matroid polyhedra (context) - Cunningham - 1984
12   Annals of Discrete Mathematics (context) - Padberg, packing et al. - 1979
11   Balanced Matrices - Conforti, Cornuejols et al. - 1994
10   Annals of Discrete Mathematics (context) - Edmonds, intersection - 1979
10   Minimum cuts and related problems (context) - Picard, Ratliff - 1975
10   Characterization of totally unimodular matrices (context) - Camion - 1965
9   the relation between integer and noninteger solutions to lin.. (context) - Gomory - 1965
9   A Survey of Lagrangean Techniques for Discrete Optimization (context) - Shapiro - 1979
8   Convergence Rate of the Gradient Descent Method with Dilatio.. (context) - Shor - 1970
8   Sur certains hypergraphes generalisant les graphes bipartite.. (context) - Berge - 1970
8   Maximum matching and a polyhedron with 0-1 vertices (context) - Edmonds - 1965
8   translated into English in Soviet Mathematics Doklady (context) - Khachiyan, algorithm et al. - 1979
7   A fast algorithm for the two-variable integer programming pr.. (context) - Feit - 1984
7   Principles and Practice of Constraint Programming (context) - Borning - 1994
7   Mathematical Programming Study (context) - Fulkerson, Hoffman et al. - 1974
7   the CPLEX callable Library and CPLEX mixed integer library, .. (context) - Using - 1993
6   the computational complexity of integer programming problems (context) - Kannan, Monma - 1978
6   Knapsack public key cryptosystems and diophantine approximat.. (context) - Lagarias - 1983
6   Balanced matrices (context) - Berge - 1972
6   Using separation algorithms to generate mixed integer model .. (context) - Martin - 1991
6   Reducibilities among combinatorial problems (context) - Karp - 1972
5   Computing the volume is difficult (context) - Barany, Furedi - 1986
5   Matroid intersection algorithms (context) - Lawler - 1975
5   Rado's theorem for polymatroids (context) - McDiarmid - 1975
4   Mathematical Programming Studies (context) - Jeroslow, Lowe et al. - 1984
3   A Fourier-f'ele mechanikai elv alkalmaz'asai (context) - Farkas
3   Solving large scale 0-1 linear programming problems (context) - Crowder, Johnson et al. - 1983
3   A class of logical inference problems solvable by linear pro.. (context) - Conforti, Cornuejols - 1992
3   Large-scale zero-one linear programming on distributed works.. (context) - Cannon, Hoffman - 1990
3   The Russian method for linear inequalities (context) - Padberg, Rao - 1981
2   Operations Research Letters (context) - Savelsbergh, Sigosmondi et al. - 1994
2   Lattices and the Basis Reduction Algorithm (context) - Bachem, Kannan - 1984
2   Testing balancedness and perfection of linear matrices (context) - Conforti, Rao - 1993
2   The perfect graph conjecture and the pluperfect graph theore.. (context) - Fulkerson - 1970
2   Research notes in Mathematics (context) - Akgul, Relaxation et al. - 1984
2   Early integer programming (context) - Gomory - 1991
1   Complexity of the supergroup approach to integer programming (context) - Chandru - 1982
1   Experiments in the Formulation of Integer Programming Proble.. (context) - Williams - 1974
1   Perfect 0, \Sigma1 matrices (context) - Conforti, Cornuejols et al. - 1993
1   Balanced 0,\Sigma1 matrices (context) - Conforti, Cornuejols et al. - 1994
1   Linear integer inequalities are NP-complete (context) - Gathen, Sieveking - 1976
1   counting integral points in polyhedra when the dimension is .. (context) - Barvinok, volume - 1993
1   Decomposition of balanced 0,1 matrices (context) - Conforti, Cornuejols et al. - 1991
1   Bounds on positive solutions of linear diophantine equations (context) - Borosh, Treybig - 1976
1   Farbung von Graphen deren samtliche bzw. deren ungerade Krei.. (context) - Berge - 1961
1   Resolution and the integrality of satisfiability polytopes (context) - Hooker - 1992
1   Towards and empirical science of algorithms (context) - Hooker - 1993
1   Finding cuts in large TSP's (context) - Applegate, Bixby et al. - 1994
1   There cannot be any algorithm for integer programming with q.. (context) - Jeroslow - 1973
1   Integer Programming and Cryptography (context) - Jr - 1984
1   A weighted matroid intersection theorem (context) - Frank - 1981
1   A polynomial recognition algorithm for K 4 n e-free perfect .. (context) - Fonlupt, Zemirline - 1981
1   Ideal 0,1 matrices (context) - Cornuejols, Novick - 1994
1   Equivalent knapsack-type formulations of bounded integer lin.. (context) - Padberg - 1972
1   11 Other Sources JOURNALS: Research publications in integer .. (context) - Ziegler, Polytopes et al. - 1995
1   Experiments in quadratic 0 \Gamma 1 programming (context) - Barahona, Junger et al. - 1989
1   Solving Steiner tree problems by Branch and Cut (context) - Chopra, Gorres et al. - 1992
1   Sur un theoreme du type Konig pour hypergraphes (context) - Berge, Las - 1970

Documents on the same site (http://www.seas.upenn.edu/~chandru/homepage.html):
Linear Programming - Chandru, Atallah (1998)   (Correct)
Volume Sculpting and Keyframe Animation System - Chandru, Mahesh, Manivannan.. (2000)   (Correct)

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