Halin's Theorem for the M"obius Strip

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Title

Halin's Theorem for the M"obius Strip

Content partner

The University of Auckland Library

Collection

ResearchSpace@Auckland

Description

Halin's Theorem characterizes those locally finite infinite graphs that embed in the plane without accumulation points by giving a set of six topologically-excluded subgraphs. We prove the analogous theorem for graphs that embed in an open M"obius strip without accumulation points. There are 153 such obstructions under the ray ordering defined herein. There are 350 obstructions under the minor ordering. There are 1225 obstructions under the topological ordering. The relationship between these...

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Format

Research paper

Research format

Report

Date created

2001-08

Creator

Archdeacon, Dan / Bonnington, C. Paul / Debowsky, Marisa / Prestidge, Michael

URL

http://hdl.handle.net/2292/5154

Related subjects

Mathematical Sciences / Mathematics

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