{
  "annotation_id": "fb3264a1-4f36-44e2-995a-5820e6fc7279",
  "date_created": "2026-02-17T05:53:16.280000Z",
  "date_modified": "2026-02-17T05:53:16.280000Z",
  "file_hash": "f41cc53ff464c7d27eb4221005381429f12b7ccc831953659d9f7ef84ae51e35",
  "private": false,
  "record": {
    "abstract": "Rooted binary phylogenetic networks are extensions of rooted binary trees, adding reticulation nodes that are designed to represent evolutionary processes that involve hybridization events. Enumerative combinatorics studies have counted leaf-labeled phylogenetic networks in a variety of classes, finding that when the number of reticulations is fixed, the time-consistent galled trees are asymptotically less numerous than each of several network classes that had been previously examined. Here we provide enumerative results on two additional network classes: general galled trees and simplex time-consistent galled trees. We show that for a fixed number of galls, as the number of leaves goes to infinity, the asymptotic count of general galled trees is identical to that of time-consistent galled trees, whereas the count of simplex time-consistent galled trees is smaller. If the number of galls is not restricted, then the asymptotic approximations all differ: simplex time-consistent galled trees are less numerous than time-consistent galled trees, which are in turn less numerous than general galled trees. We also report a variety of additional results: recursions to count the studied networks with small numbers of leaves a fixed number of galls, as well as enumerative results for unlabeled networks in the classes that we investigate.",
    "arxiv_id": "2601.08062",
    "authors": [
      "Lily Agranat-Tamir",
      "Michael Fuchs",
      "Bernhard Gittenberger",
      "Noah A. Rosenberg",
      "Karthik V. Seetharaman"
    ],
    "categories": [
      "math.CO",
      "q-bio.PE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Combinatorial comparison of general galled trees, time-consistent galled trees, and simplex time-consistent galled trees",
    "url": "https://arxiv.org/abs/2601.08062",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "21a18c02-91d0-47c8-8064-bc0e39f35c96",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}