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# Chong Shangguan (上官冲), On the sparse hypergraph problem of Brown, Erdős and Sós

## November 17 Thursday @ 10:00 AM - 11:00 AM KST

Zoom ID: 224 221 2686 (ibsecopro)

For fixed integers $r\ge 3, e\ge 3$, and $v\ge r+1$, let $f_r(n,v,e)$ denote the maximum number of edges in an $n$-vertex $r$-uniform hypergraph in which the union of arbitrary $e$ distinct edges contains at least $v+1$ vertices. In 1973, Brown, Erdős and Sós initiated the study of the function $f_r(n,v,e)$ and they proved that $\Omega(n^{\frac{er-v}{e-1}})=f_r(n,v,e)=O(n^{\lceil\frac{er-v}{e-1}\rceil})$. We will survey the state-of-art results about the study of $f_r(n,er-(e-1)k+1,e)$ and $f_r(n,er-(e-1)k,e)$, where $r>k\ge 2$ and $e\ge 3$. Although these two functions have been extensively studied, many interesting questions remain open.

## Details

Date:
November 17 Thursday
Time:
10:00 AM - 11:00 AM KST
Event Category:
Event Tags:
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## Venue

Zoom ID: 224 221 2686 (ibsecopro)

## Organizer

Joonkyung Lee (이준경)
기초과학연구원 수리및계산과학연구단 이산수학그룹
대전 유성구 엑스포로 55 (우) 34126
IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
E-mail: dimag@ibs.re.kr, Fax: +82-42-878-9209