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[Ben05a] Edge disjoint paths and max integral multiflow/min multicut theorems in planar graphs

Conférence Internationale avec comité de lecture : ICGT'05 7th Int. Colloquium on Graph Theory, Hyères, January 2005, Vol. 22, pp.55-60, Series ENDM, (DOI: 10.1016/j.endm.2005.06.010)

Auteurs: C. Bentz

motcle:
Résumé: We generalize all the results obtained for integer multiflow and multicut problems in trees by Garg et al. [N. Garg, V.V. Vazirani and M. Yannakakis. Primal-dual approximation algorithms for integral flow and multicut in trees. Algorithmica 18 (1997), pp. 3-20] to planar graphs with a fixed number of faces, although other classical generalizations do not lead to such results. We also introduce the class of k-edge-outerplanar graphs and bound the integrality gap for the maximum edge-disjoint paths problem in these graphs.

Equipe: oc

BibTeX

@inproceedings {
Ben05a,
title="{Edge disjoint paths and max integral multiflow/min multicut theorems in planar graphs}",
author=" C. Bentz ",
booktitle="{ICGT'05 7th Int. Colloquium on Graph Theory, Hyères}",
year=2005,
month="January",
series="ENDM",
volume=22,
pages="55-60",
doi="10.1016/j.endm.2005.06.010",
}