{ "id": "2004.04998", "version": "v1", "published": "2020-04-10T11:48:29.000Z", "updated": "2020-04-10T11:48:29.000Z", "title": "The giant component of the directed configuration model revisited", "authors": [ "Xing Shi Cai", "Guillem Perarnau" ], "categories": [ "math.PR", "cs.DM", "math.CO" ], "abstract": "We prove a law of large numbers for the order and size of the largest strongly connected component in the directed configuration model. Our result extends previous work by Cooper and Frieze.", "revisions": [ { "version": "v1", "updated": "2020-04-10T11:48:29.000Z" } ], "analyses": { "subjects": [ "60C05" ], "keywords": [ "directed configuration model", "giant component", "large numbers", "largest strongly connected component", "result extends" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }