Graph operations and Lie algebras

This paper deals with several operations on graphs and combinatorial structures linking them with their associated Lie algebras. More concretely, our main goal is to obtain some criteria to determine when there exists a Lie algebra associated with a combinatorial structure arising from those operati...

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Detalles Bibliográficos
Autores: Cáceres González, José, Ceballos González, Manuel, Núñez Valdés, Juan, Puertas González, María Luz
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2013
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/47937
Acceso en línea:http://hdl.handle.net/11441/47937
https://doi.org/10.1080/00207160.2013.777048
Access Level:acceso abierto
Palabra clave:Digraph
Combinatorial structure
Lie algebra
Combinatorial operations
Algorithm
Descripción
Sumario:This paper deals with several operations on graphs and combinatorial structures linking them with their associated Lie algebras. More concretely, our main goal is to obtain some criteria to determine when there exists a Lie algebra associated with a combinatorial structure arising from those operations. Additionally, we show an algorithmic method for one of those operations.