@InProceedings{berzunzaojeda_et_al:LIPIcs.AofA.2022.3, author = {Berzunza Ojeda, Gabriel and Holmgren, Cecilia}, title = {{Fragmentation Processes Derived from Conditioned Stable Galton-Watson Trees}}, booktitle = {33rd International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2022)}, pages = {3:1--3:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-230-3}, ISSN = {1868-8969}, year = {2022}, volume = {225}, editor = {Ward, Mark Daniel}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.AofA.2022.3}, URN = {urn:nbn:de:0030-drops-160898}, doi = {10.4230/LIPIcs.AofA.2022.3}, annote = {Keywords: Additive coalescent, fragmentation, Galton-Watson trees, spectrally positive stable L\'{e}vy processes, stable L\'{e}vy tree, Prim’s algorithm} }