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Tianchi Yang, On the maximum number of edges in k-critical graphs

Tuesday, March 28, 2023 @ 4:30 PM - 5:30 PM KST

Room B332, IBS (기초과학연구원)


Tianchi Yang
National University of Singapore

In this talk, we will discuss the problem of determining the maximum number of edges in an n-vertex k-critical graph. A graph is considered k-critical if its chromatic number is k, but any proper subgraph has a chromatic number less than k. The problem remains open for any integer k ≥ 4. Our presentation will showcase an improvement on previous results achieved by employing a combination of extremal graph theory and structural analysis. We will introduce a key lemma, which may be of independent interest, as it sheds light on the partial structure of dense k-critical graphs. This is joint work with Cong Luo and Jie Ma.


Tuesday, March 28, 2023
4:30 PM - 5:30 PM KST
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Room B332
IBS (기초과학연구원) + Google Map


Hong Liu
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IBS 이산수학그룹 Discrete Mathematics Group
기초과학연구원 수리및계산과학연구단 이산수학그룹
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IBS Discrete Mathematics Group (DIMAG)
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