A Ramsey class for Steiner systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10369543" target="_blank" >RIV/00216208:11320/18:10369543 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.jcta.2017.09.001" target="_blank" >http://dx.doi.org/10.1016/j.jcta.2017.09.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jcta.2017.09.001" target="_blank" >10.1016/j.jcta.2017.09.001</a>

Result language
angličtina
Original language name
A Ramsey class for Steiner systems
Original language description
We construct a Ramsey class whose objects are Steiner systems. In contrast to the situation with general r-uniform hypergraphs, it turns out that simply putting linear orders on their sets of vertices is not enough for this purpose: one also has to strengthen the notion of subobjects used from "induced subsystems" to something we call "strongly induced subsystems". Moreover we study the Ramsey properties of other classes of Steiner systems obtained from this class by either forgetting the order or by working with the usual notion of subsystems. This leads to a perhaps surprising induced Ramsey theorem in which designs get coloured.
Czech name
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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
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

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)

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

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