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On the Use of Penumbras in Blocking and Anti-blocking Theory

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References14
Authors :
Document type : Article de périodique (Journal article) – Article de recherche
Access type : Accès restreint
Publication date : 1982
Language : Anglais
Journal information : "Mathematical Programming" - Vol. 22, no. 1, p. 71-81 (1982)
Peer reviewed : yes
Publisher : Elsevier Science Bv (Amsterdam)
issn : 0025-5610
e-issn : 1436-4646
Publication status : Publié
Affiliation : UCL - FSA/INMA - Département d'ingénierie mathématique
Links :
Bibliographic reference Tind, J. ; Wolsey, Laurence. On the Use of Penumbras in Blocking and Anti-blocking Theory. In: Mathematical Programming, Vol. 22, no. 1, p. 71-81 (1982)
Permanent URL http://hdl.handle.net/2078.1/57726

References Provided by I4OC

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  2. J. Edmonds, V. Griffin and J. Aráoz, “Polarities given by a system of bilinear inequalities”, Working Paper No. 25, Departemento de Matematicas y Ciencia de la Computacion, Universidad Simon Bolivar, Valle de Sartenejas, Venezuela (1977).
  3. W. Fenchel. “A remark on convex sets and polarity”,Meddelanden från Lunds Universitets Matematiska Seminarium (Supplementsband) (1952) 82–89.
  4. D.R. Fulkerson, “Blocking polyhedra”, in: B. Harris, ed.,Graph theory and its applications (Academic Press, New York, 1970) pp. 93–112.
  5. D.R. Fulkerson, “Blocking and anti-blocking pairs of polyhedra”,Mathematical Programming 1 (1971) 168–194.
  6. D.R. Fulkerson, “Anti-blocking polyhedra”,Journal of Combinatorial Theory 12 (1972) 50–71.
  7. V. Griffin, “Polyhedral polarity”, Ph. D. Thesis, Research Report CORR 77/33, Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada (1977).
  8. E.L. Johnson, “Support functions, blocking pairs and antiblocking pairs”,Mathematical Programming Study 8 (1977) 167–196.
  9. C. McDiarmid, “Blocking, antiblocking, and pairs of matroids and polymatroids”,Journal of Combinatorial Theory B 25 (1978) 313–325.
  10. R.T. Rockafellar,Convex analysis, Princeton University Press, Princeton, NJ (1970).
  11. P.H.M. Ruys,Public goods and decentralization, Tilburg University Press, Tilburg (1974).
  12. J. Tind, “Blocking and antiblocking sets”,Mathematical Programming 6 (1974) 157–166.
  13. M. Todd, “Dual families of linear programs”, Department of Operations Research, Technical Report No. 197, Cornell University, Ithaca, New York (1973).
  14. Trotter L. E., Weinberger D. B., Symmetric blocking and anti-blocking relations for generalized circulations, Mathematical Programming Studies (1978) ISBN:9783642007897 p.141-158, 10.1007/bfb0121199