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DTSTART:20240101T000000
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DTSTART;TZID=Asia/Seoul:20251014T163000
DTEND;TZID=Asia/Seoul:20251014T173000
DTSTAMP:20260416T124331
CREATED:20250918T011807Z
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UID:11604-1760459400-1760463000@dimag.ibs.re.kr
SUMMARY:Ilkyoo Choi (최일규)\, An improved lower bound on the number of edges in list critical graphs via DP coloring
DESCRIPTION:A graph $G$ is (list\, DP) $k$-critical if the (list\, DP) chromatic number is $k$ but for every proper subgraph $G’$ of $G$\, the (list\, DP) chromatic number of $G’$ is less than $k$. For $k\geq 4$\, we show a bound on the minimum number of edges in a DP $k$-critical graph\, and our bound is the first bound that is asymptotically better than the corresponding bound for proper $k$-critical graphs by Gallai from 1963. Our result also improves the best bound on the list chromatic number. This is joint work with Bradshaw\, Kostochka\, and Xu.
URL:https://dimag.ibs.re.kr/event/2025-10-14/
LOCATION:Room B332\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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