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Colorings of Partial Steiner Systems and Their Applications.
- Source :
-
Journal of Mathematical Sciences . May2015, Vol. 206 Issue 5, p511-538. 28p. - Publication Year :
- 2015
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 206
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 101832060
- Full Text :
- https://doi.org/10.1007/s10958-015-2330-8