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Kevin Hendrey, The minimum connectivity forcing forest minors in large graphs

Room B232 IBS (기초과학연구원)

Given a graph G, we define exc(G) to be the minimum value of t for which there exists a constant N(t,G) such that every t-connected graph with at least N(t,G) vertices contains G as a minor. The value of exc(G) is known to be tied to the vertex cover number τ(G), and in fact $\tau(G)\leq …

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Cory Palmer, A survey of Turán-type subgraph counting problems

Room B232 IBS (기초과학연구원)

Let F and H be graphs. The subgraph counting function ex(n,H,F) is defined as the maximum possible number of subgraphs H in an n-vertex F-free graph. This function is a direct generalization of the Turán function as ex(n,F)=ex(n,K2,F). The systematic study of ex(n,H,F) was initiated by Alon and Shikhelman in 2016 who generalized several classical …

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Casey Tompkins, Extremal problems for Berge hypergraphs

Room B232 IBS (기초과학연구원)

Given a graph G, there are several natural hypergraph families one can define. Among the least restrictive is the family BG of so-called Berge copies of the graph G. In this talk, we discuss Turán problems for families BG in r-uniform hypergraphs for various graphs G. In particular, we are interested in general results in …

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Alexandr V. Kostochka, Reconstructing graphs from smaller subgraphs

Room B232 IBS (기초과학연구원)

A graph or graph property is ℓ-reconstructible if it is determined by the multiset of all subgraphs obtained by deleting ℓ vertices. Apart from the famous Graph Reconstruction Conjecture, Kelly conjectured in 1957 that for each ℓ∈N, there is an integer n=n(ℓ) such that every graph with at least n vertices is ℓ-reconstructible. We show that for …

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Zi-Xia Song (宋梓霞), Ramsey numbers of cycles under Gallai colorings

Room B232 IBS (기초과학연구원)

For a graph H and an integer k≥1, the k-color Ramsey number Rk(H) is the least integer N such that every k-coloring of the edges of the complete graph KN contains a monochromatic copy of H. Let Cm denote the cycle on m≥4 vertices. For odd cycles, Bondy and Erd\H{o}s in 1973 conjectured that …

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Joonkyung Lee (이준경), On some properties of graph norms

Room B232 IBS (기초과학연구원)

For a graph H, its homomorphism density in graphs naturally extends to the space of two-variable symmetric functions W in Lp, p≥e(H), denoted by tH(W). One may then define corresponding functionals ‖W‖H:=|tH(W)|1/e(H) and ‖W‖r(H):=tH(|W|)1/e(H) and say that H is (semi-)norming if ‖.‖H is a (semi-)norm and that H is weakly norming if ‖.‖r(H) is …

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Extremal and Structural Graph Theory (2019 KMS Annual Meeting)

Room 426, Hong-Mun Hall, Hongik University, Seoul

Focus Session @ 2019 KMS Annual MeetingA focus session "Extremal and Structural Graph Theory" at the 2019 KMS Annual Meeting is organized by Sang-il Oum. URL: http://www.kms.or.kr/meetings/fall2019/SpeakersIlkyoo Choi (최일규), Hankuk University of Foreign StudiesKevin Hendrey, IBS Discrete Mathematics GroupPascal Gollin, IBS Discrete Mathematics GroupJaehoon Kim (김재훈), KAISTRingi Kim (김린기), KAISTSeog-Jin Kim (김석진), Konkuk UniversityO-joung Kwon (권오정), Incheon …

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The 2nd East Asia Workshop on Extremal and Structural Graph Theory

UTOP UBLESS Hotel, Jeju, Korea (유탑유블레스호텔제주)

The 2nd East Asia Workshop on Extremal and Structural Graph Theory is a workshop to bring active researchers in the field of extremal and structural graph theory, especially in the East Asia such as China, Japan, and Korea.DateOct 31, 2019 (Arrival Day) - Nov 4, 2019 (Departure Day)Venue and Date1st floor  Diamond HallUTOP UBLESS Hotel, …

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IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
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