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Jun Gao, Number of (k-1)-cliques in k-critical graph

Tuesday, August 30, 2022 @ 4:30 PM - 5:30 PM KST

Room B332, IBS (기초과학연구원)


Jun Gao (高峻)
IBS Extremal Combinatorics and Probability Group

We prove that for $n>k\geq 3$, if $G$ is an $n$-vertex graph with chromatic number $k$ but any its proper subgraph has smaller chromatic number, then $G$ contains at most $n-k+3$ copies of cliques of size $k-1$. This answers a problem of Abbott and Zhou and provides a tight bound on a conjecture of Gallai.

This is joint work with Jie Ma.


Tuesday, August 30, 2022
4:30 PM - 5:30 PM KST
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Room B332
IBS (기초과학연구원) + Google Map


Sang-il Oum (엄상일)
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IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
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IBS Discrete Mathematics Group (DIMAG)
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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