Title:
Planarity and Dimension for Graphs and Posets
Planarity and Dimension for Graphs and Posets
| dc.contributor.author | Trotter, William T. | |
| dc.date.accessioned | 2012-07-07T16:54:39Z | |
| dc.date.available | 2012-07-07T16:54:39Z | |
| dc.date.issued | 2012-05 | |
| dc.description | Proceedings of Graph Theory@Georgia Tech, a conference honoring the 50th Birthday of Robin Thomas, May 7-11, 2012 in the Clough Undergraduate Learning Commons. | en_US |
| dc.description.abstract | There is a rich history of research relating planarity for graphs and diagrams with the dimension of posets, starting with the elegant characterization of planarity for posets with a zero and a one: they are planar if and only if they have dimension at most 2. Planar posets with a zero (or a one) have dimension at most 3, but Kelly showed that there are planar posets of arbitrarily large dimension. Subsequently, Schnyder proved that a graph is planar if and only if the dimension of its incidence poset is at most 3. Quite recently, Felsner, Wiechert and Trotter have shown that the dimension of a poset with a planar comparability graph is at most 4, while Streib and Trotter have shown that the dimension of a poset with a planar cover graph is bounded as a function of its height. | en_US |
| dc.description.sponsorship | NSF, NSA, ONR, IMA, Colleges of Sciences, Computing and Engineering | en_US |
| dc.identifier.uri | http://hdl.handle.net/1853/44226 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Georgia Institute of Technology | en_US |
| dc.subject | Posets | en_US |
| dc.title | Planarity and Dimension for Graphs and Posets | en_US |
| dc.type | Text | |
| dc.type.genre | Proceedings | |
| dspace.entity.type | Publication | |
| local.contributor.author | Trotter, William T. | |
| local.contributor.corporatename | College of Sciences | |
| local.contributor.corporatename | School of Mathematics | |
| local.relation.ispartofseries | Graph Theory @ Georgia Tech | |
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