The giant component of the directed configuration model revisited

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 (2004).

Detalles Bibliográficos
Autores: Cai, Xing Shi, Perarnau Llobet, Guillem|||0000-0002-1953-9511
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/363374
Acceso en línea:https://hdl.handle.net/2117/363374
https://dx.doi.org/10.30757/ALEA.v18-55
Access Level:acceso abierto
Palabra clave:Graph theory
Random graphs
Random directed graphs
Configuration model
Strongly connected component
Grafs, Teoria de
Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs
Descripción
Sumario: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 (2004).