COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

## Cross-intersecting familiesAdd to your list(s) Download to your calendar using vCal - Peter Borg (University of Malta)
- Thursday 03 May 2018, 14:30-15:30
- MR12.
If you have a question about this talk, please contact Andrew Thomason. A typical problem in extremal set theory is to determine how small or how large a parameter of a system of sets can be. The Erd\H{o}s—Ko—Rado~Theorem is a classical result in this field. A variant of the Erd\H{o}s—Ko—Rado problem is to determine the maximum sum or the maximum product of sizes of k cross-t-intersecting subfamilies $\mathcal{A}_1, \mathcal{A}_2, \dots, \mathcal{A}_k$ of a given family $\mathcal{F}$ of sets, where by `cross-$t$-intersecting’ we mean that, for every $i$ and $j$ with $i \neq j$, each set in $\mathcal{A}_i$ intersects each set in $\mathcal{A}_j$ in at least $t$ elements. This natural problem has recently attracted much attention. Solutions have been obtained for various important families, such as power sets, levels of power sets, hereditary families, families of permutations, and families of integer sequences. The talk will provide an outline of these results. It will focus mostly on the product problem for the family of subsets of $\{1, 2, \dots, n\}$ that have at most $r$ elements. This talk is part of the Combinatorics Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- Combinatorics Seminar
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- MR12
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsBiophysical Seminar Cambridge Language Sciences Annual Symposium Society of Biology## Other talksJust As Quare As You Wanna Be: On Afrofuturism as Cultural Aesthetic and Method for Liberating Black Bodies Combination hormones for the treatment of Obesity and Diabetes Antinous and Death in the Nile An Introduction to Cluster Categories of Type A Dispersion for the wave and the Schrodinger equations outside strictly convex obstacles |