Non-planar network with edges subject to failure and enumeration of proper cuts

P. J. Doulliez; M. R. Rao

RAIRO - Operations Research - Recherche Opérationnelle (1973)

  • Volume: 7, Issue: V1, page 85-96
  • ISSN: 0399-0559

How to cite

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Doulliez, P. J., and Rao, M. R.. "Non-planar network with edges subject to failure and enumeration of proper cuts." RAIRO - Operations Research - Recherche Opérationnelle 7.V1 (1973): 85-96. <http://eudml.org/doc/104565>.

@article{Doulliez1973,
author = {Doulliez, P. J., Rao, M. R.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {eng},
number = {V1},
pages = {85-96},
publisher = {EDP-Sciences},
title = {Non-planar network with edges subject to failure and enumeration of proper cuts},
url = {http://eudml.org/doc/104565},
volume = {7},
year = {1973},
}

TY - JOUR
AU - Doulliez, P. J.
AU - Rao, M. R.
TI - Non-planar network with edges subject to failure and enumeration of proper cuts
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1973
PB - EDP-Sciences
VL - 7
IS - V1
SP - 85
EP - 96
LA - eng
UR - http://eudml.org/doc/104565
ER -

References

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  1. [1] DOULLIEZ P. and RAO M. R., « Capacity of a Network with Increasing Demands and Arcs Subjects to Failure » Operations Research, 19 (4), 905-915 (1971). Zbl0219.90047
  2. [2] L. R. FORD and D. R. FULKERSON, « Maximum Flow Through a Network »,Canadian Journal of Mathematics, 8 (May 1956), 399-404. Zbl0073.40203MR79251
  3. [3] R. WOLLMER, « Removing Arcs from a Network », Operations Research, 12 (1964), 934-940. Zbl0204.20102MR171627
  4. [4] G. de GHELLINCK, «Aspects de la notion de dualité en théorie des graphes», Cahiers du centre de recherche opérationnelle, 3, 2 (1961). Zbl0135.42201MR130838
  5. [5] P. DOULLIEZ and M. R. RAO, « Maximal Flow in a Multiterminal Network with any One Arc Subject to Failure », Management Science, 18-1 (1971). Zbl0234.90013
  6. [6] L. R. FORD and D. R. FULKERSON, « Flows in Networks », Princeton University Press, Princeton, New Jersey, 1962. Zbl1216.05047MR159700
  7. [7] C. BERGE, Théorie des graphes et applications, Dunod, Paris, 1958, p. 209. Zbl0121.40101MR102822
  8. [8] P. DOULLIEZ, « Optimal Capacity Planning of Multi-terminal Networks », Thèse de Doctorat, Université Catholique de Louvain, Louvain, Belgium, 1970. 

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