FINE STRUCTURE OF 4-CRITICAL TRIANGLE-FREE GRAPHS III. GENERAL SURFACES

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10385404" target="_blank" >RIV/00216208:11320/18:10385404 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1137/15M1023403" target="_blank" >https://doi.org/10.1137/15M1023403</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/15M1023403" target="_blank" >10.1137/15M1023403</a>

Result language
angličtina
Original language name
FINE STRUCTURE OF 4-CRITICAL TRIANGLE-FREE GRAPHS III. GENERAL SURFACES
Original language description
Dvofak, Kral, and Thomas [Three-Coloring Triangle-Free Graphs on Surfaces IV. Bounding Face Sizes of 4-Critical Graphs, preprint, arXiv:1404.6356v3, 2015; Three-Coloring Triangle-Free Graphs on Surfaces VI. 3-Colorability of Quadrangulations, preprint, arXiv:1509.01013, 2015] gave a description of the structure of triangle-free graphs on surfaces with respect to 3-coloring. Their description, however, contains two substructures (both related to graphs embedded in a plane with two precolored cycles) whose coloring properties are not entirely determined. In this paper, we fill these gaps.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

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)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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