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The Distinguishing Number and Posets, Part I
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- Author(s): Trenk, Ann
- Subject Terms:
- Document Type:
moving image (video)
- Language:
English
- Additional Information
- Publication Information:
Banff International Research Station for Mathematical Innovation and Discovery
- Publication Date:
2018
- Collection:
University of British Columbia: cIRcle - UBC's Information Repository
- Subject Terms:
- Abstract:
We introduce the distinguishing numbers of partially ordered sets. This study has given us the opportunity to apply classic results in poset theory to obtain results about this parameter. We present both an elementary proof of the distinguishing number of divisibility lattices and a more general result that employs Birkoff's Fundamental Theorem of Distributive Lattices. In other distinguishing bounds, we use a fundamental result about straight line embeddings of ranked planar posets with a minimum element and a maximum element to find bounds on planar posets. Coauthor: Karen L. Collins ; Non UBC ; Unreviewed ; Author affiliation: Wellesley College ; Faculty
- File Description:
30.0; video/mp4
- Relation:
18w5050: Symmetry Breaking in Discrete Structures; BIRS Workshop Lecture Videos (Oaxaca (Mexico : State)); BIRS-VIDEO-201809201630-Trenk; BIRS-VIDEO-18w5050-29597; http://hdl.handle.net/2429/68958
- Online Access:
http://hdl.handle.net/2429/68958
- Rights:
Attribution-NonCommercial-NoDerivatives 4.0 International ; http://creativecommons.org/licenses/by-nc-nd/4.0/
- Accession Number:
edsbas.6B1ECA25
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