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