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The Distinguishing Number and Posets, Part II Collins, Karen Sep 20, 2018
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Title | The Distinguishing Number and Posets, Part II |
Creator |
Collins, Karen |
Publisher | Banff International Research Station for Mathematical Innovation and Discovery |
Date Issued | 2018-09-20T17:05 |
Description | We introduce two distinguishing chromatic numbers of partially ordered sets, one based on incomparability and the other on comparability. This study has given us the opportunity to apply classic results in poset theory to obtain results about these parameters. We use Dilworth's Theorem to obtain a bound for the parameter based on incomparability. In distinguishing chromatic bounds based on comparability, we use the proof of Birkoff's Fundamental Theorem of Distributive Lattices. In contrast, we provide a bound for the Boolean lattice, $B_n$, based on its high degree of symmetry. |
Extent | 35.0 |
Subject |
Mathematics Combinatorics Group theory and generalizations Discrete mathematics |
Geographic Location | Oaxaca (Mexico : State) |
Type |
Moving Image |
FileFormat | video/mp4 |
Language | eng |
Notes | Author affiliation: Wesleyan University |
Series | BIRS Workshop Lecture Videos (Oaxaca (Mexico : State)) |
Date Available | 2019-03-20 |
Provider | Vancouver : University of British Columbia Library |
Rights | Attribution-NonCommercial-NoDerivatives 4.0 International |
DOI | 10.14288/1.0377189 |
URI | http://hdl.handle.net/2429/68959 |
Affiliation |
Non UBC |
Peer Review Status | Unreviewed |
Scholarly Level | Faculty |
Rights URI | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
AggregatedSourceRepository | DSpace |
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https://iiif.library.ubc.ca/presentation/dsp.48630.1-0377189/manifest