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An Application of Model Theoretic Ramsey Theory Terry, Caroline
Description
Chudnovsky, Kim, Oum, and Seymour recently established that any prime graph contains one of a short list of induced prime subparts. In this talk we present joint work with Malliaris, in which we reprove their theorem using many of the same ideas, but with the key model theoretic ingredient of first determining the so-called amount of stability of the graph. This approach changes the applicable Ramsey theorem, improves the bounds, and offers a different structural perspective on the graphs in question.
Item Metadata
Title |
An Application of Model Theoretic Ramsey Theory
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2015-11-12T16:05
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Description |
Chudnovsky, Kim, Oum, and Seymour recently established that any prime graph contains one of a short list of induced prime subparts. In this talk we present joint work with Malliaris, in which we reprove their theorem using many of the same ideas, but with the key model theoretic ingredient of first determining the so-called amount of stability of the graph. This approach changes the applicable Ramsey theorem, improves the bounds, and offers a different structural perspective on the graphs in question.
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Extent |
28 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Illinois at Chicago
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Series | |
Date Available |
2016-05-14
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0302693
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Researcher
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International