@article{RO_1987__21_4_287_0, author = {Crama, Y. and Hammer, P. L. and Jaumard, B. and Simeone, B.}, title = {Product form parametric representation of the solutions to a quadratic boolean equation}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {287--305}, publisher = {EDP-Sciences}, volume = {21}, number = {4}, year = {1987}, mrnumber = {932181}, zbl = {0638.90070}, language = {en}, url = {http://www.numdam.org/item/RO_1987__21_4_287_0/} }
TY - JOUR AU - Crama, Y. AU - Hammer, P. L. AU - Jaumard, B. AU - Simeone, B. TI - Product form parametric representation of the solutions to a quadratic boolean equation JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 1987 SP - 287 EP - 305 VL - 21 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/item/RO_1987__21_4_287_0/ LA - en ID - RO_1987__21_4_287_0 ER -
%0 Journal Article %A Crama, Y. %A Hammer, P. L. %A Jaumard, B. %A Simeone, B. %T Product form parametric representation of the solutions to a quadratic boolean equation %J RAIRO - Operations Research - Recherche Opérationnelle %D 1987 %P 287-305 %V 21 %N 4 %I EDP-Sciences %U http://www.numdam.org/item/RO_1987__21_4_287_0/ %G en %F RO_1987__21_4_287_0
Crama, Y.; Hammer, P. L.; Jaumard, B.; Simeone, B. Product form parametric representation of the solutions to a quadratic boolean equation. RAIRO - Operations Research - Recherche Opérationnelle, Tome 21 (1987) no. 4, pp. 287-305. http://www.numdam.org/item/RO_1987__21_4_287_0/
1. A Linear-time Algorithm for Testing the Truth of Certain Quantified Formulas, Information Processing Letters Vol 8, 1979, pp. 121-123. | MR | Zbl
, and ,2. A Solvable Case of Quadratic 0-1 Programming, Discrete Applied Mathematics, Vol. 13, 1986, pp. 23-26. | MR | Zbl
,3. Graphs and Hypergraphs, North-Holland, Amsterdam, 1973. | MR | Zbl
,4. Maximizing a Supermodular Pseudoboolean Function: a Polynomial Algorithm for Supermodular Cubic Functions, Discrete Applied Mathematics, Vol. 12, 1985, pp. 1-11. | MR | Zbl
and ,5. An Extension of the König-Egervary Property to Node-weighted Bidirected Graphs, CORR 83-39, University of Waterloo, 1983. | Zbl
,6. Pseudo-boolean Functions and Stability of Graphs, Annals of Discrete Mathematics, Vol. 19, 1984, pp. 83-98. | MR | Zbl
, and ,7. Order Relations of variables in 0-1 Programming, Annals of Discrete Mathematics, Vol. 31, 1987, pp. 83-112. | MR | Zbl
and ,8. Uniquely Solvable Quadratic Boolean Equations, Discrete Applied Mathematics, Vol. 12, 1985, pp. 147-154. | MR | Zbl
and ,9. A Linear Expected-time Algorithm for Deriving all Logical Conclusions Implied by a Set of Boolean Inequalities, Mathematical Prograrnming, Vol. 34, 1986, pp. 223-231. | MR | Zbl
, and ,10. Unimodular Functions, Discrete Applied Mathematics, Vol. 14, 1986, p. 269-281. | MR | Zbl
and ,11. On the Complexity of Timetable and Multicommodity Flow Problems, SIAM Journal on Computing, Vol. 5, 1976, pp. 691-703. | MR | Zbl
, and ,12. Extraction et utilisation de relations booléennes pour la résolution des programmes linéaires en variables 0-1, Thèse de Doctorat, École Nationale Supérieure des Télécommunications, Paris, 1986.
,13. Degree two Inequalities, Clique Facets, and Biperfect Graphs, Annals of Discrete Mathematics, Vol. 16, 1982, pp. 169-187. | MR | Zbl
and ,14. Uber das Auflösungsproblem im logischen Klassenkalkul, Sitzungsberichte der Berliner Mathematische Gesellschaft, Vol. 7, 1908, pp. 89-94. | JFM
,15. Uber die Auflösung von Gleichungen im logischen Gebietkalkul, Mathematische Annalen, Vol. 68, 1910, pp.169-207. | JFM | MR
,16. Data structures and algorithms 2:Graph algorithms and NP-completeness, Springer-Verlag, Berlin, 1984. | MR | Zbl
,17. A Switching Algorithm for the Solution of Quadratic Boolean Equations, Information Processing Letters, Vol. 2, 1980, pp.193-198. | MR | Zbl
and ,18. Maximal Closure of a Graph and Applications to Combinatorial Problems, Management Science, Vol. 22, 1976, pp. 1268-1272. | MR | Zbl
,19. Transitivité et connexité, Compte-rendus de l'Académie des Sciences de Paris, Vol. 249, 1959, pp. 216-218. | MR | Zbl
,20. Boolean Functions and Equations, North-Holland, Amsterdam, 1974. | MR | Zbl
,21. Consistency of Quadratic Boolean Equations andthe König-Egerváry Property for Graphs, Annals of Discrete Mathematics, Vol. 25, 1985, pp. 281-290. | MR | Zbl
,22. Depth-first Search and Linear Graph Algorithms, SIAM Journal on Computing, Vol. 1, 1972, pp. 146-160. | MR | Zbl
,23. The Complexity of Enumeration and Reliability Problems, SIAM Journal on Computing, Vol. 8, 1979, pp. 410-421. | MR | Zbl
,24. A Theorem on Boolean Matrices, Journal of the Association for Computing Machinery, Vol. 9, 1962, pp.11-12. | MR | Zbl
,