Graphs associated with vector spaces of even dimension: A link with differential geometry

We define a new association between graphs and orthonormal bases of even-dimensional Euclidean vector spaces endowed with an spe cial isomorphism motivated by the recently introduced theory of submanifolds associated with graphs. We provide several interest ing examples and we analyze the shape of s...

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Detalles Bibliográficos
Autores: Boza Prieto, Luis, Carriazo Rubio, Alfonso, Fernández Fernández, Luis Manuel
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2012
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/163512
Acceso en línea:https://hdl.handle.net/11441/163512
https://doi.org/10.1016/j.laa.2012.01.038
Access Level:acceso abierto
Palabra clave:Graphs
Orthonormal bases
Almost Hermitian manifolds
Submanifolds
Descripción
Sumario:We define a new association between graphs and orthonormal bases of even-dimensional Euclidean vector spaces endowed with an spe cial isomorphism motivated by the recently introduced theory of submanifolds associated with graphs. We provide several interest ing examples and we analyze the shape of such graphs by proving some general results.