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Exponentially Many Nowhere-Zero Z_3, Z_4 and Z_6-Flows

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10423620" target="_blank" >RIV/00216208:11320/19:10423620 - isvavai.cz</a>

  • Result on the web

    <a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=iuqhj4vP1Y" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=iuqhj4vP1Y</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00493-019-3882-x" target="_blank" >10.1007/s00493-019-3882-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Exponentially Many Nowhere-Zero Z_3, Z_4 and Z_6-Flows

  • Original language description

    We prove that, in several settings, a graph has exponentially many nowhere-zero flows. These results may be seen as a counting alternative to the well-known proofs of existence of Z_3, Z_4 and Z_6-Flows. In the dual setting, proving exponential number of 3-colorings of planar triangle-free graphs is a related open question due to Thomassen.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

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

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Combinatorica

  • ISSN

    0209-9683

  • e-ISSN

  • Volume of the periodical

    39

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    17

  • Pages from-to

    1-17

  • UT code for WoS article

    000492919200002

  • EID of the result in the Scopus database

    2-s2.0-85074667688