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International Journal of Computer Mathematics Volume 90, 2013 - Issue 10: COMPUTATIONAL AND MATHEMATICAL METHODS IN SCIENCE
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Section B

Graph operations and Lie algebras

J. CáceresDpto. de Estadística y Matemática Aplicada, Universidad de Almería, Ctra. Sacramento s/n, La Cañada de San Urbano, 04120Almería, Spain
,
M. CeballosDepartamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, 41080Seville, SpainCorrespondence[email protected]
,
J. NúñezDepartamento de Geometría y Topología, Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, 41080Seville, Spain
,
M. L. PuertasDpto. de Estadística y Matemática Aplicada, Universidad de Almería, Ctra. Sacramento s/n, La Cañada de San Urbano, 04120Almería, Spain
&
Á. F. TenorioDpto. de Economía, Métodos Cuantitativos e Historia Económica, Escuela Politécnica Superior, Universidad Pablo de Olavide, Ctra. Utrera km. 1, 41013Seville, Spain
Pages 2092-2104 | Received 22 Aug 2012, Accepted 12 Feb 2013, Published online: 02 May 2013
 
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Abstract

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.

2010 AMS Subject Classifications::

Acknowledgements

This work has been partially supported by MTM2010-19336 and FEDER. The authors thank the editor and the referees for their useful comments and suggestions, which have allowed us to improve the quality of the paper.

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