Publisher DOI: | 10.1016/j.endm.2015.06.005 | Title: | Minimum degrees and codegrees of minimal Ramsey 3-uniform hypergraphs | Language: | English | Authors: | Clemens, Dennis ![]() Person, Yury |
Keywords: | Minimal Ramsey hypergraph; Minimum degree and codegree | Issue Date: | 12-Nov-2015 | Publisher: | Elsevier Science | Source: | Electronic Notes in Discrete Mathematics 49: 23-30 (2015-11) | Abstract (english): | A uniform hypergraph H is called k-Ramsey for a hypergraph F, if no matter how one colors the edges of H with k colors, there is always a monochromatic copy of F. We say that H is minimal k-Ramsey for F, if H is k-Ramsey for F but every proper subhypergraph of H is not. Burr, Erdos and Lovasz [S. A. Burr, P. Erdos, and L. Lovász, On graphs of Ramsey type, Ars Combinatoria 1 (1976), no. 1, 167-190] studied various parameters of minimal Ramsey graphs. In this paper we initiate the study of minimum degrees and codegrees of minimal Ramsey 3-uniform hypergraphs. We show that the smallest minimum vertex degree over all minimal k-Ramsey 3-uniform hypergraphs for Kt(3) is exponential in some polynomial in k and t. We also study the smallest possible minimum codegrees over minimal 2-Ramsey 3-uniform hypergraphs. |
URI: | http://hdl.handle.net/11420/10808 | ISSN: | 1571-0653 | Journal: | Electronic notes in discrete mathematics | Institute: | Mathematik E-10 | Document Type: | Article | Funded by: | Deutsche Forschungsgemeinschaft (DFG) | More Funding information: | YP is partially supported by DFG grant PE 2299/1-1. |
Appears in Collections: | Publications without fulltext |
Show full item record
Page view(s)
52
Last Week
0
0
Last month
3
3
checked on Feb 6, 2023
SCOPUSTM
Citations
1
Last Week
0
0
Last month
checked on Jun 30, 2022
Google ScholarTM
Check
Add Files to Item
Note about this record
Cite this record
Export
Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.