The Lonely Runner Conjecture turns 60

The Lonely Runner Conjecture originated in Diophantine approximation is turning 60. Even if the conjecture is still widely open, the flow of partial results, innovative tools and connections to different problems and applications has been steady on its long life. This survey attempts to give a panor...

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Detalles Bibliográficos
Autores: Perarnau, Guillem, Serra, Oriol
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2072/489097
Acceso en línea:http://hdl.handle.net/2072/489097
Access Level:acceso abierto
Palabra clave:Lonely Runner Conjecture
Diophantine approximation
View-Obstruction problems
Chromatic number of distance graphs
51
Descripción
Sumario:The Lonely Runner Conjecture originated in Diophantine approximation is turning 60. Even if the conjecture is still widely open, the flow of partial results, innovative tools and connections to different problems and applications has been steady on its long life. This survey attempts to give a panoramic view of the status of the problem, trying to highlight the contributions of the many papers that it has originated.