{ "id": "2412.09667", "version": "v1", "published": "2024-12-12T18:52:20.000Z", "updated": "2024-12-12T18:52:20.000Z", "title": "Spatial preferential attachment with choice-based edge step", "authors": [ "Yury Malyshkin" ], "categories": [ "math.PR" ], "abstract": "We study the asymptotic behavior of the maximum indegree in the spatial preferential attachment model with a choice-based edge step. We prove different types of behavior of maximal indegree based on the model's parameters.", "revisions": [ { "version": "v1", "updated": "2024-12-12T18:52:20.000Z" } ], "analyses": { "subjects": [ "05C80" ], "keywords": [ "choice-based edge step", "spatial preferential attachment model", "asymptotic behavior", "maximum indegree", "models parameters" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }