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X-WR-CALDESC:Events for Discrete Mathematics Group
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DTSTART:20190101T000000
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DTSTART;TZID=Asia/Seoul:20200910T171000
DTEND;TZID=Asia/Seoul:20200910T181000
DTSTAMP:20260423T080527
CREATED:20200708T123031Z
LAST-MODIFIED:20240705T200015Z
UID:2619-1599757800-1599761400@dimag.ibs.re.kr
SUMMARY:Sebastian Siebertz\, Rank-width meets stability
DESCRIPTION:Forbidden graph characterizations provide a convenient way of specifying graph classes\, which often exhibit a rich combinatorial and algorithmic theory. A prime example in graph theory are classes of bounded tree-width\, which are characterized as those classes that exclude some planar graph as a minor. Similarly\, in model theory\, classes of structures are characterized by configurations that are forbidden as logical interpretations or transductions. Two notions from classical model theory are (monadic) stability and (monadic) dependence\, which correspond to the impossibility of interpreting with first-order logic (after a vertex coloring step) arbitrary long linear orders and all graphs\, respectively.  Examples of monadically stable classes of graphs are nowhere dense graph classes\, and examples of monadically dependent classes are classes of bounded rank-width (or equivalently\, bounded clique-width)\, which can be seen as a dense analog of classes of bounded tree-width. \nI will give an overview over recent approaches to combine model theoretic and graph theoretic tools to derive structural and algorithmic results for classes of (finite) graphs. I assume no background from logic.
URL:https://dimag.ibs.re.kr/event/2020-09-10/
LOCATION:Zoom ID: 869 4632 6610 (ibsdimag)
CATEGORIES:Virtual Discrete Math Colloquium
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