Colorings of Partial Steiner Systems and Their Applications

Verfasser / Beitragende:
[A. Kupavskii, D. Shabanov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 206/5(2015-05-01), 511-538
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2330-8  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2330-8 
245 0 0 |a Colorings of Partial Steiner Systems and Their Applications  |h [Elektronische Daten]  |c [A. Kupavskii, D. Shabanov] 
520 3 |a This paper deals with extremal problems concerning colorings of partial Steiner systems. We establish a new sufficient condition for r-colorability of a hypergraph from some class of such systems in terms of maximum vertex degree. Moreover, as a corollary we obtain a new lower bound for the threshold probability for r-colorability of a random hypergraph in a binomial model. 
540 |a Springer Science+Business Media New York, 2015 
700 1 |a Kupavskii  |D A.  |u Moscow Institute of Physics and Technology (State University), Moscow, Russia  |4 aut 
700 1 |a Shabanov  |D D.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/5(2015-05-01), 511-538  |x 1072-3374  |q 206:5<511  |1 2015  |2 206  |o 10958 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kupavskii  |D A.  |u Moscow Institute of Physics and Technology (State University), Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Shabanov  |D D.  |u Lomonosov Moscow State University, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 206/5(2015-05-01), 511-538  |x 1072-3374  |q 206:5<511  |1 2015  |2 206  |o 10958