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# A Linear Time Algorithm for the Arc Disjoint Menger Problem in Planar Directed Graphs

Type of Publication: | Preprint |

URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-20217 |

Author: | Brandes, Ulrik; Wagner, Dorothea |

Year of publication: | 1997 |

Series: | Konstanzer Schriften in Mathematik und Informatik ; 29 |

Summary: |
Given a graph G=(V,E) and two different vertices s,t in V, the Menger problem is to find a maximum number of disjoint paths connecting s and t. Depending on whether the input graph is directed or not, and what kind of disjointness criterion is demanded, this general formulation is specialized to the directed or undirected vertex, and the edge or arc disjoint Menger problem, respectively.
For planar graphs the edge disjoint Menger problem has been solved to optimality, while the fastest algorithm for the arc disjoint version is Weihe's general maximum flow algorithm for planar networks, which has running time O(|V|log|V|). Here we present a linear time, i.e. asymptotically optimal, algorithm for the arc disjoint version in planar directed graphs. |

Subject (DDC): | 004 Computer Science |

Link to License: | In Copyright |

Checksum:
MD5:4226ba31e56fbf93d4e028b81fcfbed9

BRANDES, Ulrik, Dorothea WAGNER, 1997. A Linear Time Algorithm for the Arc Disjoint Menger Problem in Planar Directed Graphs

@unpublished{Brandes1997Linea-6203, title={A Linear Time Algorithm for the Arc Disjoint Menger Problem in Planar Directed Graphs}, year={1997}, author={Brandes, Ulrik and Wagner, Dorothea} }

preprint_029.pdf | 167 |