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Packing six T-joins in plane graphs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10329884" target="_blank" >RIV/00216208:11320/16:10329884 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jctb.2015.09.002" target="_blank" >http://dx.doi.org/10.1016/j.jctb.2015.09.002</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jctb.2015.09.002" target="_blank" >10.1016/j.jctb.2015.09.002</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Packing six T-joins in plane graphs

  • Original language description

    Let G be a plane graph and T an even subset of its vertices. It has been conjectured that if all T-cuts of G have the same parity and the size of every T-cut is at least k, then G contains k edge-disjoint T-joins. The case k = 3 is equivalent to the Four Color Theorem, and the cases k = 4, which was conjectured by Seymour, and k = 5 were proved by Guenin. We settle the next open case k = 6.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Combinatorial Theory. Series B

  • ISSN

    0095-8956

  • e-ISSN

  • Volume of the periodical

    116

  • Issue of the periodical within the volume

    leden

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    19

  • Pages from-to

    287-305

  • UT code for WoS article

    000366344100012

  • EID of the result in the Scopus database

    2-s2.0-84947612723