Topological realizations of ortho-projection graphs
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Abstract
- We discuss the production of ortho-projection graphs from alternating knot diagrams, and introduce a more general construction of such graphs from "splittings" of closed, nonorientable surfaces. As our main result, we prove that this new topological construction generates all ortho-projection graphs. We present a minimal example of an orthoprojection graph that does not arise from a knot diagram, and provide a surface-splitting that realizes this graph.
| Title | Topological realizations of ortho-projection graphs |
|---|---|
| Creator | Zulli, Louis P. |
| Traldi, Lorenzo | |
| Publisher | Topology and Its Applications |
| Academic Department | Mathematics |
| Division | Natural Sciences |
| Organization | Lafayette College |
| Date Issued | September 2009 |
| Date Available | 2015-04-20T19:15:28Z |
| Type | Article |
| Language | English |
| Keyword | orthogonal projection |
| circle graph | |
| alternating knot | |
| trip matrix | |
| non-orientable surface splitting | |
| signed chord diagram | |
| Bibliographic Citation | Traldi, L. and L. P. Zulli (2009 Sept.) "Topological realizations of ortho-projection graphs." Topology and Its Applications 156 (15): 2515-26. |
| Standard Identifier | Handle 10385/1819 |
| DOI 10.1016/j.topol.2009.07.019 | |
| Permalink | http://hdl.handle.net/10385/1819 |
| Rights Statement |
In Copyright
|
| Rights Holders | Elsevier B.V. |
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| File | Traldi-TopologyandItsApplications-vol156-2009.pdf | Uploaded 2019-10-20 | Public | Download |
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