Authors: | Uhing, Jason |
Title: | Verschlingungsinvarianten und Bandflächen eingebetteter Graphen |
Language (ISO): | de |
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. |
Subject Headings: | Knotentheorie Verschlingungszahlen Bandflächen knot-theory linking-module disk/band-surfaces |
URI: | http://hdl.handle.net/2003/20378 http://dx.doi.org/10.17877/DE290R-3037 |
Issue Date: | 2005-04-25 |
Provenance: | Universität Dortmund |
Appears in Collections: | Lehrstuhl IX: Analysis, Mathematische Physik & Dynamische Systeme |
Files in This Item:
File | Description | Size | Format | |
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uhing.pdf | DNB | 2.98 MB | Adobe PDF | View/Open |
uhing.ps | 16.29 MB | Postscript | View/Open |
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