Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423937 | Electronic Notes in Discrete Mathematics | 2011 | 6 Pages |
Abstract
For every integer r⩾2 we call a k-uniform hypergraph H on n vertices r-Ramsey-forcing if every r-edge-coloring of the underlying complete graph Kn contains a monochromatic copy of Kk such that its vertices form an edge in H. In this work we determine the threshold for a random k-uniform hypergraph with n vertices to be r-Ramsey-forcing. This settles an open question from Allen, Böttcher, Hladký, and Piguet [Allen, P., J. Böttcher, J. Hladký and D. Piguet, Turánnical hypergraphs, arXiv:1011.1483v1].
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Luca Gugelmann, Yury Person, Angelika Steger, Henning Thomas,