On the Choice Number of Packings |
| |
| Authors: | G. R. Omidi M. Shahsiah |
| |
| Affiliation: | 1. Department of Mathematical Sciences, Isfahan University of Technology, , Isfahan, 84156-83111 Iran;2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), , P.O. Box 19395-5746 Tehran, Iran |
| |
| Abstract: | ![]()
In this note, we show that for positive integers s and k, there is a function  such that every t‐ packing with at least  edges,  , has choice number greater than s. Consequently, for integers s, k, t, and λ there is a  such that every t‐ design with  has choice number greater than s. © 2012 Wiley Periodicals, Inc. J. Combin. Designs 20: 504‐507, 2012 |
| |
| Keywords: | hypergraph t‐design choice number packing AMS subject classification: 05C15, 05C65 |
|
|
