A note on cover free families
Combinatorics
2015-05-27 v1
Abstract
Let N((r,w;d),t) denote the minimum number of points in a (r,w;d)-cover-free family having t blocks. Hajiabolhassan and Moazami (2012)[6] showed that the Hadamard conjecture is equivalent to confirm N((1,1;d)4d-1)=4d-1. Hence, it is a challenging and interesting problem to determine the exact value of N((r,w;d),t). In this paper, we determine the exact value of N((r,w;d),t) for every r, w, where r+w<t+1 and some d.
Cite
@article{arxiv.1505.07090,
title = {A note on cover free families},
author = {Mehdi Azadimotlagh},
journal= {arXiv preprint arXiv:1505.07090},
year = {2015}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1410.4361