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Obstructions of connectivity two for embedding graphs into the torus

Canadian Journal of Mathematics (2014) 66(6) 1327-1357
DOI: 10.4153/CJM-2014-025-X
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Abstract

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.

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Mohar, B., & Škoda, P. (2014). Obstructions of connectivity two for embedding graphs into the torus. Canadian Journal of Mathematics, 66(6), 1327–1357. https://doi.org/10.4153/CJM-2014-025-X

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