{
  "id": "1406.1341",
  "version": "v1",
  "published": "2014-06-05T11:28:48.000Z",
  "updated": "2014-06-05T11:28:48.000Z",
  "title": "Cascades and Obstructions of Low Connectivity for Embedding Graphs into the Klein Bottle",
  "authors": [
    "Bojan Mohar",
    "Petr Škoda"
  ],
  "comment": "45 pages",
  "categories": [
    "math.CO"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-05T11:28:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C10"
    ],
    "keywords": [
      "klein bottle",
      "embedding graphs",
      "low connectivity",
      "obstructions",
      "euler genus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.1341M"
    }
  }
}