All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

4-CRITICAL GRAPHS ON SURFACES WITHOUT CONTRACTIBLE ({= 4)-CYCLES

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10283293" target="_blank" >RIV/00216208:11320/14:10283293 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1137/130920952" target="_blank" >http://dx.doi.org/10.1137/130920952</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1137/130920952" target="_blank" >10.1137/130920952</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    4-CRITICAL GRAPHS ON SURFACES WITHOUT CONTRACTIBLE ({= 4)-CYCLES

  • Original language description

    We show that if G is a 4-critical graph embedded in a fixed surface S so that every contractible cycle has length at least 5, then G can be expressed as G = G'boolean OR G(1)boolean OR G(2)boolean OR ... boolean OR G(k), where vertical bar V (C')verticalbar| and k are bounded by a constant (depending linearly on the genus of Sigma) and C-1, ... , C-k are graphs (of unbounded size) whose structure we describe exactly. The proof is computer assisted-we use a computer to enumerate all plane 4-critical graphs of girth 5 with a precolored cycle of length at most 16 that are used in the basic case of the inductive proof of the statement.

  • 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

    2014

  • 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

    28

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    32

  • Pages from-to

    521-552

  • UT code for WoS article

    000333685700036

  • EID of the result in the Scopus database