2026-04-17T10:20:34Zhttps://recercat.cat/oai/request

oai:recercat.cat:10230/448442025-12-19T23:00:32Zcom_2072_6col_2072_452952

00925njm 22002777a 4500 dc Lugosi, Gábor author Pereira, Alan S. author 2020-05-28T08:42:46Z 2020-05-28T08:42:46Z 2019 A uniform attachment tree is a random tree that is generated dynamically. Starting from a fixed “seed” tree, vertices are added sequentially by attaching each vertex to an existing vertex chosen uniformly at random. Upon observing a large (unlabeled) tree, one wishes to find the initial seed. We investigate to what extent seed trees can be recovered, at least partially. We consider three types of seeds: a path, a star, and a random uniform attachment tree. We propose and analyze seed-finding algorithms for all three types of seed trees. Gábor Lugosi was supported by the Spanish Ministry of Economy and Competitiveness, Grant MTM2015-67304-P and FEDER, EU. Random trees Uniform attachment Discrete probability Seed Finding the seed of uniform attachment trees