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Obstructions of Connectivity Two for Embedding Graphs into the Torus

Published online by Cambridge University Press:  20 November 2018

Bojan Mohar  and
Petr Škoda
Bojan Mohar
Affiliation:
Department of Mathematics, Simon Fraser University, BurnabyBC. e-mail: mohar@sfu.ca
Petr Škoda
Affiliation:
Department of Mathematics, Simon Fraser University, BurnabyBC Current address: Google Inc., Mountain View, CA. e-mail: pskoda@sfu.ca
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Abstract

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The complete set of minimal obstructions for embedding graphs into the torus is still not determined. In this paper, we present all obstructions for the torus of connectivity 2. Furthermore, we describe the building blocks of obstructions of connectivity 2 for any orientable surface.

Keywords

05C1005C83torusobstructionminorconnectivity 2
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 66 , Issue 6 , 01 December 2014 , pp. 1327 - 1357
Copyright
Copyright © Canadian Mathematical Society 2014

References

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