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Mathematics > Combinatorics

arXiv:1406.1341 (math)
[Submitted on 5 Jun 2014]

Title:Cascades and Obstructions of Low Connectivity for Embedding Graphs into the Klein Bottle

Authors:Bojan Mohar, Petr Škoda
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Abstract:The structure of graphs with a 2-vertex-cut that are critical with respect to the Euler genus is studied. A general theorem describing the building blocks is presented. These constituents, called hoppers and cascades, are classified for the case when Euler genus is small. As a consequence, the complete list of obstructions of connectivity 2 for embedding graphs into the Klein bottle is obtained.
Comments: 45 pages
Subjects: Combinatorics (math.CO)
MSC classes: 05C10
Cite as: arXiv:1406.1341 [math.CO]
  (or arXiv:1406.1341v1 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.1406.1341

Submission history

From: Bojan Mohar [view email]
[v1] Thu, 5 Jun 2014 11:28:48 UTC (253 KB)
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