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Homomorphisms of planar signed graphs to signed projective cubes

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F13%3A43919958" target="_blank" >RIV/49777513:23520/13:43919958 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Homomorphisms of planar signed graphs to signed projective cubes

  • Original language description

    We conjecture that every signed graph of unbalanced girth 2g, whose underlying graph is bipartite and planar, admits a homomorphism to the signed projective cube of dimension 2g-1. Our main result is to show that for a given g, this conjecture is equivalent to the corresponding case (k = 2g) of a conjecture of Seymour claiming that every planar k-regular multigraph with no odd edge-cut of less than k edges is k-edge-colorable.

  • 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/EE2.3.30.0013" target="_blank" >EE2.3.30.0013: Excellence in human resources as a source of competitiveness</a><br>

  • Continuities

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

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE

  • ISSN

    1462-7264

  • e-ISSN

  • Volume of the periodical

    15

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    FR - FRANCE

  • Number of pages

    12

  • Pages from-to

    1-12

  • UT code for WoS article

    000327036900001

  • EID of the result in the Scopus database