{ "id": "1505.07437", "version": "v1", "published": "2015-05-27T19:09:56.000Z", "updated": "2015-05-27T19:09:56.000Z", "title": "On the number of vertices of each rank in phylogenetic trees and their generalizations", "authors": [ "Miklós Bóna" ], "comment": "13 pages, 1 figure", "categories": [ "math.CO" ], "abstract": "We find surprisingly simple formulas for the limiting probability that the rank of a randomly selected vertex in a randomly selected phylogenetic tree or generalized phylogenetic tree is a given integer.", "revisions": [ { "version": "v1", "updated": "2015-05-27T19:09:56.000Z" } ], "analyses": { "subjects": [ "05A15", "05A16" ], "keywords": [ "generalizations", "randomly selected phylogenetic tree", "surprisingly simple formulas", "generalized phylogenetic tree", "limiting probability" ], "note": { "typesetting": "TeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable" } } }