Independent sets, cliques, and colorings in graphons

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F20%3A00525118" target="_blank" >RIV/67985807:_____/20:00525118 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/20:00525118
Result on the web
<a href="https://doi.org/10.1016/j.ejc.2020.103108" target="_blank" >https://doi.org/10.1016/j.ejc.2020.103108</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejc.2020.103108" target="_blank" >10.1016/j.ejc.2020.103108</a>

Result language
angličtina
Original language name
Independent sets, cliques, and colorings in graphons
Original language description
We study graphon counterparts of the chromatic and the clique number, the fractional chromatic number, the b-chromatic number, and the fractional clique number. We establish some basic properties of the independence set polytope in the graphon setting, and duality properties between the fractional chromatic number and the fractional clique number. We present a notion of perfect graphons and characterize them in terms of induced densities of odd cycles and its complements.
Czech name
—
Czech description
—

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/GJ16-07822Y" target="_blank" >GJ16-07822Y: Extremal graph theory and applications</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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