TR#: | CS0688 |

Class: | CS |

Title: | 2-TREES OPTIMAL T-JOIN AND INTEGRAL PACKING
OF T-CUTS |

Authors: | E. Korach |

PDF - Revised | CS0688.revised.pdf |

Abstract: | Let $G$ be an undirected graph, $T$ and even subset of vertices and $F$ an optimal $T$-join, which is a forest of 2 trees. The main theorem of this paper characterizes the cases, where $(G,T)$ has an optimal packing of $T$-cuts which is integral. This theorem unifies and generalizes a theorem of P. Seymour on packing of T-cuts and a theorem of A. Frank on planar edge disjoint paths. It also solves positively a conjecture by A. Frank. The proof of the main theorem implies a polynomial algorithm for optimal integral packing of T-cuts for the case where the optimal $T$-join consists of 2 trees. This algorithm is in fact a simple post optimality method, that can be applied to existing algorithms for 1/2 integral packing of T-cuts and also solves polynomially a certain planar integral multicommodity flow problem. |

Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |

Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/1991/CS/CS0688), rather than to the URL of the PDF files directly. The latter URLs may change without notice.

To the list of the CS technical reports of 1991

To the main CS technical reports page