Verschlingungsinvarianten und Bandflächen eingebetteter Graphen
| dc.contributor.advisor | Erle, D. | de |
| dc.contributor.author | Uhing, Jason | de |
| dc.contributor.referee | Mayer, K. H. | de |
| dc.date.accepted | 2005 | |
| dc.date.accessioned | 2005-05-12T10:49:48Z | |
| dc.date.available | 2005-05-12T10:49:48Z | |
| dc.date.created | 2005-03-10 | de |
| dc.date.issued | 2005-04-25 | de |
| dc.description.abstract | In classical knot-theory the linking-number of a link can be calculated from the crossingsof a diagram. This method can be extended to diagrams of spatial graphs. For any abstractgraph this leads to a set of linking-invariants with a structure of a free Z module. It isshown that this module is isomorphic to the linking-module defined by K. Taniyama. Afterthat a basis of the linking-module for the 3-connected simple graphs is constructed. Theelements of that basis are derived from certain subgraphs homeomorphic to K3;3, K5 or disjoint circles . As an application, linking-modules of M¨obius ladders can be calculatedin that way. These elements are used to define unique disk/band surfaces for spatial M¨obiusladders in 3-space with the help of the Gordon-Litherland-form. Up to now constructionsof unique disk/band-surfaces are known only for special classes of planar graphs. | en |
| dc.format.extent | 3046440 bytes | |
| dc.format.extent | 16680431 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.uri | http://hdl.handle.net/2003/20378 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-3037 | |
| dc.language.iso | de | de |
| dc.publisher | Universität Dortmund | de |
| dc.subject | Knotentheorie | de |
| dc.subject | Verschlingungszahlen | de |
| dc.subject | Bandflächen | de |
| dc.subject | knot-theory | en |
| dc.subject | linking-module | en |
| dc.subject | disk/band-surfaces | en |
| dc.subject.ddc | 510 | de |
| dc.title | Verschlingungsinvarianten und Bandflächen eingebetteter Graphen | de |
| dc.type | Text | de |
| dc.type.publicationtype | doctoralThesis | de |
| dcterms.accessRights | open access |