{
  "id": "2206.02007",
  "version": "v1",
  "published": "2022-06-04T15:08:38.000Z",
  "updated": "2022-06-04T15:08:38.000Z",
  "title": "Labeled Chip-firing on Binary Trees",
  "authors": [
    "Gregg Musiker",
    "Son Nguyen"
  ],
  "comment": "26 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study labeled chip-firing on binary trees and some of its modifications. We prove a sorting property of terminal configurations of the process. We also analyze the endgame moves poset and prove that this poset is a modular lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-04T15:08:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "binary trees",
      "labeled chip-firing",
      "endgame moves poset",
      "terminal configurations",
      "modular lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}