Abstract
The recognition of “virtually quadratic” 0–1 optimization problems leads to the study of those graphs (quadratic graphs) whose edge-set can be covered by complete bipartite graphs so that each vertex belongs to at most two such complete bipartite graphs.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
C. BENZAKEN, P.L. HAMMER, B. SIMEONE: Quadratic graphs as adjoints of bidirected graphs. Presented at the 11th Southeastern Conference on Combinatorics, Graph Theory and Computing, Boca Raton, Florida, March 1980
C. BERGE: Graphes et hypergraphes (Dunod, Paris, 1972)
P.L. HAMMER, I.G. ROSENBERG: Linear decomposition of a positive group-boolean function. In: Numerische Methoden bei Optimierung, vol. II, L. Collatz and W. Wetterling (ed.), Birkhäuser Verlag, Basel, Stuttgart, 1974, 51–62
P.L. HAMMER, B. SIMEONE: Quasimonotone boolean functions and bi-stellar graphs, Annals of Discrete Mathematics 1980 (forthcoming)
C. HEUCHENNE: Sur certaines correspondances entre graphes, Bull. Soc. Royale Sci. Liège 33 (1964) 743–753
J. KRAUSZ: Démonstration nouvelle d’un théorème de Whitney sur les réseaux, Math. Fiz. Lapok 50 (1943) 75–85
I.G. ROSENBERG: Reduction of unconstrained nonlinear 0–1 programming to the quadratic case, Cahiers du Centre d’Etudes de Rech. Operat. 17 (1975) 71–74
S. RUDEANU: Boolean functions and equations (North-Holland, Amsterdam) (1974)
B. SIMEONE: Quadratic boolean equations and the König-Egervàry property for graphs, forthcoming
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer Basel AG
About this chapter
Cite this chapter
Benzaken, C., Hammer, P.L., Simeone, B. (1980). Some Remarks on Conflict Graphs of Quadratic Pseudo-Boolean Functions. In: Collatz, L., Meinardus, G., Wetterling, W. (eds) Konstruktive Methoden der finiten nichtlinearen Optimierung. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 55. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6322-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-0348-6322-3_1
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6323-0
Online ISBN: 978-3-0348-6322-3
eBook Packages: Springer Book Archive