Наредни састанци Семинара биће одржани у четвртак, 9. новембра и петак, 10. новембра 2023.
Прво предавање биће одржано у четвртак. 9. новембра 2023. у сали 301ф Математичког института САНУ.
Предавач: Gyula O.H. Katona, Alfréd Rényi Mathematical Institute, Budapest
Наслов предавања: TOWARDS A BARANYAI THEOREM WITH ADDITIONAL CONDITION
Апстракт: Baranyai’s theorem states that if $k$ divides $n$ then there are ${n-1\choose k-1}$ partitions of the $n$-element set into $k$-element subsets in such a way that every $k$-element subset occurs in exactly one of these partitions. However nothing is known about the pairwise relation of the partitions. We will show some results moving in this direction. The objects considered here will be families of $\ell$ pairwise disjoint $k$-element sets rather than partitions (one can call them partial partitions). We say that two partial partitions are far if there are no two pairs of classes in these partitions with pairwise intersection more than $k/2$. It is proved that if $n$ is large, one can find such partial partitions far from each other in such a way that every $k$-element subset, with a few (bounded number) exceptions, is in one of them exactly once.
Друго предавање биће одржано у петак. 10. новембра 2023. у сали 301ф Математичког института САНУ са почетком у 14.15. часова. У питању је заједнички састанак са Одељењем за математику.
Предавач: Miklós Simonovits, Alfréd Rényi Mathematical Institute, Budapest
Наслов предавања: STABILITY METHODS IN EXTREMAL GRAPH THEORY
Апстракт: Extremal Graph Theory is one of the fastest developing areas in Discrete Mathematics. It started in the 1940’s (by Turán theorem) and was in strong connection with two other important areas of Discrete Mathematics, namely, to Ramsey Theory and to to Combinatorial Number Theory. Soon, Extremal Graph Theory and Ramsey Theory became the sources of several further important research areas. In Extremal Graph Theory we fix some kind of objects, some parameter of these objects, and try to maximize or minimize some other parameters.
Напомена: Предавања се могу пратити на даљину преко линка:
https://miteam.mi.sanu.ac.rs/call/XZawgjASPavABY37A/2t2yGBvU01onPAP3aSUKiNFb2Skjk-3w5XJruW-yaZh
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https://miteam.mi.sanu.ac.rs/asset/sd3bebvvcBSNtN78B