@article{RO_1987__21_4_349_0, author = {Minoux, M. and Pinson, E.}, title = {Lower bounds to the graph partitioning problem through generalized linear programming and network flows}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {349--364}, publisher = {EDP-Sciences}, volume = {21}, number = {4}, year = {1987}, mrnumber = {932184}, zbl = {0657.90095}, language = {en}, url = {http://www.numdam.org/item/RO_1987__21_4_349_0/} }
TY - JOUR AU - Minoux, M. AU - Pinson, E. TI - Lower bounds to the graph partitioning problem through generalized linear programming and network flows JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 1987 SP - 349 EP - 364 VL - 21 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/item/RO_1987__21_4_349_0/ LA - en ID - RO_1987__21_4_349_0 ER -
%0 Journal Article %A Minoux, M. %A Pinson, E. %T Lower bounds to the graph partitioning problem through generalized linear programming and network flows %J RAIRO - Operations Research - Recherche Opérationnelle %D 1987 %P 349-364 %V 21 %N 4 %I EDP-Sciences %U http://www.numdam.org/item/RO_1987__21_4_349_0/ %G en %F RO_1987__21_4_349_0
Minoux, M.; Pinson, E. Lower bounds to the graph partitioning problem through generalized linear programming and network flows. RAIRO - Operations Research - Recherche Opérationnelle, Tome 21 (1987) no. 4, pp. 349-364. http://www.numdam.org/item/RO_1987__21_4_349_0/
An Algorithm for Partitioning the Nodes of a Graph, SIAM J. Alg. Discr. Meth. Vol. 4, 1982, pp. 541-550. | MR | Zbl
,Partitioning Procedures for solving mixed variables programming problems, Numerische Mathematik, Vol. 4, 1962, pp. 238-252. | MR | Zbl
,The Optimal Partitioning of Graphs, SIAM J. Appl. Math. Vol. 30, No. 1, 1976, pp. 55-70. | MR | Zbl
and ,The Decomposition Algorithm for Linear Programming, Econometrica, Vol. 29, No. 4, 1961, pp. 767, 778. | MR | Zbl
and ,Algorithm for Solution of a Problem of Maximum Flow in a Network with Power Estimation, Soviet Math. Dokl., Vol. 11, 1970, pp. 1277-1280. | Zbl
,Roof Duality, Complementation and Persistency in Quadratic 0-1 Optimization, Mathematical Programming, Vol. 28, 1984, pp. 121-155. | MR | Zbl
, and ,Problème de la bipartition minimale d'un graphe, RAIRO (à paraître). | Numdam | Zbl
and ,Graph Partitioning and Constructing Optimal Decision Trees are Polynomial Complete Problems, Report n° 33, IRIA-Laboria, Rocquencourt, France, 1973.
and ,Determining the Maximal Flow in a Network by the Method of Preflows, Soviet Math. Dokl. Vol. 15, 1974, pp. 434-437. | Zbl
,Roof Duality for Nonlinear 0-1 Optimization, Rutcor Research Report, RRR 2-85, 1985.
and ,Programmation Mathématique : théorie et algorithmes, Dunod, Paris, 1983 (English translation J. Wiley & Sons, 1986). | MR | Zbl
,Optimal Traffic Assignaient in a SS/TDMS Frame: a New Approach by Set Covering and Column Generation, ORSA/TIMS meeting, Dallas, Texas, 1984, Appeared in RAIRO, Vol. 20, No. 4, 1986, pp. 1-13. | Numdam | Zbl
A Class of Combinatorial Problems with Polynomially Solvable Large Scale set Covering/Partitioning Relaxations, Journées du 20e anniversaire du Groupe Combinatoire de l'AFCET, Paris-3, 5 décembre 1986, appeared in RAIRO, Vol. 21, No. 2, 1987, pp. 105-136. | EuDML | Numdam | MR | Zbl
,A Selection Problem of Shared Fixed Costs and Network Flows, Management Science, Vol. 17, No. 3 (1970), pp. 200-207. | MR | Zbl
,A Combined Branch and Bound/Column generation Approach to very large Scale Set Covering Problems with Special Structure, ORSA/-TIMS meeting, Miami, Florida, November 1986, (to appear). | MR
, et ,Reduction of Bivalent Maximization to the Quadratic Case, Cahiers du Centre d'Études de Recherche Opérationnelle, Vol. 17, 1975, pp.71-79. | MR | Zbl
,A Simple Version of Karzanov's Blocking Flow Algorithm, Operations Research Letters, Vol. 2, No. 6 (1984), pp. 265-268. | MR | Zbl
,Quadratic 0-1 Programming Using the roof Dual with Computational Results, RUTCOR Research Report RRR8-85, 1985.
,