# A note on packing paths in planar graphs

@article{Frank1995ANO, title={A note on packing paths in planar graphs}, author={Andr{\'a}s Frank and Zolt{\'a}n Szigeti}, journal={Mathematical Programming}, year={1995}, volume={70}, pages={201-209} }

Seymour (1981) proved that the cut criterion is necessary and sufficient for the solvability of the edge-disjoint paths problem when the union of the supply graph and the demand graph is planar and Eulerian. When only planarity is required, Middendorf and Pfeiffer (1993) proved the problem to be NP-complete. For this case, Korach and Penn (1992) proved that the cut criterion is sufficient for the existence of a near-complete packing of paths. Here we generalize this result by showing how a…

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