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Tutorial: Milliken tree theorem and big Ramsey degrees of graphs and hypergraphs Hubicka, Jan
Description
We discuss the method of proving Ramsey theorems for enumerated universal homogeneous structures, in particular for graphs and 3-uniform hypergraphs. We will discuss the a method of obtaining a precise characterisation of the big Ramsey degrees. At the end, we will briefly discuss generalisation of these constructions to structures with forbidden substructures and open problems, especially for structures with relations of aritiy 3 and more.
Item Metadata
| Title |
Tutorial: Milliken tree theorem and big Ramsey degrees of graphs and hypergraphs
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2025-11-26
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| Description |
We discuss the method of proving Ramsey theorems for enumerated universal homogeneous structures, in particular for graphs and 3-uniform hypergraphs. We will discuss the a method of obtaining a precise characterisation of the big Ramsey degrees. At the end, we will briefly discuss generalisation of these constructions to structures with forbidden substructures and open problems, especially for structures with relations of aritiy 3 and more.
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| Extent |
55.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Charles University
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| Series | |
| Date Available |
2025-12-01
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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 |
10.14288/1.0450913
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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 Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International