New structural approach to integer programming : a survey
Structure theory of set addition, Astérisque, no. 258 (1999), pp. 341-362.
@incollection{AST_1999__258__341_0,
     author = {Chaimovich, Mark},
     title = {New structural approach to integer programming : a survey},
     booktitle = {Structure theory of set addition},
     editor = {Deshouilliers Jean-Marc and Landreau Bernard and Yudin Alexander A.},
     series = {Ast\'erisque},
     pages = {341--362},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {258},
     year = {1999},
     mrnumber = {1701209},
     zbl = {0987.90060},
     language = {en},
     url = {http://www.numdam.org/item/AST_1999__258__341_0/}
}
TY  - CHAP
AU  - Chaimovich, Mark
TI  - New structural approach to integer programming : a survey
BT  - Structure theory of set addition
AU  - Collectif
ED  - Deshouilliers Jean-Marc
ED  - Landreau Bernard
ED  - Yudin Alexander A.
T3  - Astérisque
PY  - 1999
SP  - 341
EP  - 362
IS  - 258
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/AST_1999__258__341_0/
LA  - en
ID  - AST_1999__258__341_0
ER  - 
%0 Book Section
%A Chaimovich, Mark
%T New structural approach to integer programming : a survey
%B Structure theory of set addition
%A Collectif
%E Deshouilliers Jean-Marc
%E Landreau Bernard
%E Yudin Alexander A.
%S Astérisque
%D 1999
%P 341-362
%N 258
%I Société mathématique de France
%U http://www.numdam.org/item/AST_1999__258__341_0/
%G en
%F AST_1999__258__341_0
Chaimovich, Mark. New structural approach to integer programming : a survey, in Structure theory of set addition, Astérisque, no. 258 (1999), pp. 341-362. http://www.numdam.org/item/AST_1999__258__341_0/

[1] Alon N. and Freiman G. A., On Sums of Subsets of a Set of Integers, Combinatorica, 8, 1988, 305-314. | DOI | MR | Zbl

[2] Balas E. and Zemel E., An Algorithm for Large Zero-One Knapsack Problems, Operations Research, 28, 1980, 1130-1154. | DOI | MR | Zbl

[3] Buzytsky P. and Freiman G. A., Analytical Methods in Integer Programming,Moscow, ZEMJ., (Russian), 48 pp., 1980.

[4] Chaimovich M., An Efficient Algorithm for the Subset-Sum Problem, a manuscript, 1988.

[5] Chaimovich M., Subset-Sum Problems with Different Summands : Computation, Discrete Applied Mathematics, 27, 1990, 277-282. | DOI | MR | Zbl

[6] Chaimovich M., Solving a Value-Independent Knapsack Problem with the Use of Methods of Additive Number Theory, Congressus Numerantium, 72, 1990, 115-123. | MR | Zbl

[7] Chaimovich M., Fast Exact and Approximate Algorithms for k-Partition and Scheduling Independent Tasks, Discrete Mathematics, 114, 1993, 87-103. | DOI | MR | Zbl

[8] Chaimovich M., On Solving Dense n-Dimensional Subset-Sum Problem, Congressus Numerantium, 84, 1992, 41-50. | MR | Zbl

[9] Chaimovich M., Analytical Methods of Number Theory in Integer Programming, Ph. D. Thesis, Tel-Aviv University, Israel, 1991.

[10] Chaimovich M., Freiman G. and Galil Z., Solving Dense Subset-Sum Problem by Using Analytical Number Theory, J. of Complexity, 5, 1989, 271-282. | DOI | MR | Zbl

[11] Erdős P. and Freiman G., On Two Additive Problems,J. Number Theory, 34, 1990, 1-12. | DOI | MR | Zbl

[12] Freiman G. A., An Analytical Method of Analysis of Linear Boolean Equations, Ann. New York Acad. Sci., 337, 1980, 97-102. | DOI | MR | Zbl

[13] Freiman G. A., What is the Structure of K if K+K is Small ?, in Lecture Notes in Mathematics, 1240, 1987, 109-134. | MR | Zbl

[14] Freiman G. A., On Extremal Additive Problems of Paul Erdős, ARS Combinatoria, 26B, 1988, 93-114. | MR | Zbl

[15] Freiman G. A., Subset-Sum Problem with Different Summands, Congressus Numerantium, 70, 1990, 207-215. | MR | Zbl

[16] Freiman G. A., On Solvability of a System of Two Boolean Linear Equations, The Proceedings of the Number Theory Conference, New York, 1989. | MR | Zbl

[17] Freiman G. A., New Analytical Results in Subset-Sum Problem, Discrete Mathematics, 114, 1993, 205-218. | DOI | MR | Zbl

[18] Galil Z. and Margalit O., An Almost Linear-Time Algorithm for the Dense Subset-Sum Problem, SIAM J. of Computing, 20, 1991, 1157-1189. | DOI | MR | Zbl

[19] Jeroslow R. G., Trivial Integer Programs Unsolvable by Branch and Bound, Mathematical Programming, 6, 1974, 105-109. | DOI | MR | Zbl

[20] Lipkin E., On Representation of r-Powers by Subset-Sums, Acta Arithmetica, LII, 1989, 353-366. | DOI | EuDML | MR | Zbl

[21] Sahni S. K., Algorithms for Scheduling Independent Tasks, J. ACM, 23, 1976, 116-127. | DOI | MR | Zbl

[22] Sárkőzy A., Finite Addition Theorems II, J. Number Theory, 48, 1994, 197-218. | DOI | MR | Zbl