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Nowhere-Zero Flows in Signed Series-Parallel Graphs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43928945" target="_blank" >RIV/49777513:23520/16:43928945 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1137/140994861" target="_blank" >http://dx.doi.org/10.1137/140994861</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1137/140994861" target="_blank" >10.1137/140994861</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Nowhere-Zero Flows in Signed Series-Parallel Graphs

  • Original language description

    Bouchet conjectured in 1983 that each signed graph that admits a nowhere-zero flow has a nowhere-zero 6-flow. We prove that the conjecture is true for all signed series-parallel graphs. Unlike the unsigned case, the restriction to series-parallel graphs is nontrivial; in fact, the result is tight for infinitely many graphs.

  • 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

    <a href="/en/project/GA14-19503S" target="_blank" >GA14-19503S: Graph coloring and structure</a><br>

  • 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

    SIAM JOURNAL ON DISCRETE MATHEMATICS

  • ISSN

    0895-4801

  • e-ISSN

  • Volume of the periodical

    30

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    11

  • Pages from-to

    1248-1258

  • UT code for WoS article

    000385015100033

  • EID of the result in the Scopus database

    2-s2.0-84976871305