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
Publisher: Universität Dortmund
Appears in Collections:Lehrstuhl IX: Funktionentheorie

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