Langford sequences and a product of digraphs

Skolem and Langford sequences and their many generalizations have applications in numerous areas. The -product is a generalization of the direct product of digraphs. In this paper we use the -product and super edge-magic digraphs to construct an exponential number of Langford sequences with certain...

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Detalles Bibliográficos
Autores: López Masip, Susana-Clara, Muntaner Batle, Francesc Antoni
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
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:10459.1/66434
Acceso en línea:https://doi.org/10.1016/j.ejc.2015.11.004
http://hdl.handle.net/10459.1/66434
Access Level:acceso abierto
Palabra clave:Teoria de grafs
Graph theory
Descripción
Sumario:Skolem and Langford sequences and their many generalizations have applications in numerous areas. The -product is a generalization of the direct product of digraphs. In this paper we use the -product and super edge-magic digraphs to construct an exponential number of Langford sequences with certain order and defect. We also apply this procedure to extended Skolem sequences.