{
  "id": "1607.06978",
  "version": "v1",
  "published": "2016-07-23T22:47:54.000Z",
  "updated": "2016-07-23T22:47:54.000Z",
  "title": "A Space of Phylogenetic Networks",
  "authors": [
    "Satyan L. Devadoss",
    "Samantha Petti"
  ],
  "comment": "23 pages, 20 figures",
  "categories": [
    "math.CO",
    "cs.DM",
    "math.AT",
    "q-bio.PE"
  ],
  "abstract": "A classic problem in computational biology is constructing a phylogenetic tree given a set of distances between n species. In most cases, a tree structure is too constraining. We consider a circular split network, a generalization of a tree in which multiple parallel edges signify divergence. A geometric space of such networks is introduced, forming a natural extension of the work by Billera, Holmes, and Vogtmann on tree space. We explore properties of this space, and show a natural embedding of the compactification of the real moduli space of curves within it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-23T22:47:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B11",
      "14H10",
      "92B10",
      "05E45"
    ],
    "keywords": [
      "phylogenetic networks",
      "multiple parallel edges signify divergence",
      "real moduli space",
      "circular split network",
      "tree structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}