| Title | Largest family without A boolean OR B subset of C boolean AND D |
| Publication Type | Journal Article |
| Authors | De Bonis, A., G. O. H. Katona, and K. J. Swanepoel |
| Journal title | Journal of Combinatorial Theory Series A |
| Year | 2005 |
| Pages | 331 - 336 |
| Volume | 111 |
| Issue | 2 |
| Abstract | Let F be a family of subsets of an n-element set not containing four distinct members such that A boolean OR B subset of C boolean AND D. It is proved that the maximum size of F under this condition is equal to the sum of the two largest binomial coefficients of order n. The maximum families are also characterized. A LYM-type inequality for such families is given, too. (c) 2005 Elsevier Inc. All rights reserved. |
| Language | eng |
| Notes | Aug; Largest family without A boolean OR B subset of C boolean AND D |
| Publisher link | http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WHS-4FM0192-1-5&_cdi=6858&_user=7105836&_orig=browse&_coverDate=08%2F31%2F2005&_sk=998889997&view=c&wchp=dGLzVlz-zSkWA&md5=40f4aeb7cc4c163601a6b166dc44ef63&ie=/sdarticle.pdf |