{
  "id": "2107.07450",
  "version": "v1",
  "published": "2021-07-15T16:55:04.000Z",
  "updated": "2021-07-15T16:55:04.000Z",
  "title": "Decompositions of even hypercubes into cycles whose length is a power of two",
  "authors": [
    "Samuel Gibson",
    "David Offner"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "If $n$ is even, the $n$-dimensional hypercube can be decomposed into edge-disjoint cycles of length $2^i$ for every value of $i$ from $2$ to $n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-15T16:55:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C51",
      "05B30"
    ],
    "keywords": [
      "decompositions",
      "dimensional hypercube"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}