Regular t-balanced Cayley maps

• Autores: Marston D. E. Conder, Robert Jajcay, Tom Tucker
• Localización: Journal of combinatorial theory. Series B, ISSN 0095-8956, Vol. 97, Nº. 3, 2007, págs. 453-473
• Idioma: inglés
• DOI: 10.1016/j.jctb.2006.07.008
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• Resumen

  • The concept of a t-balanced Cayley map is a natural generalization of the previously studied notions of balanced and anti-balanced Cayley maps (the terms coined by [J. ¿irán, M. ¿koviera, Groups with sign structure and their antiautomorphisms, Discrete Math. 108 (1992) 189¿202. [12]]). We develop a general theory of t-balanced Cayley maps based on the use of skew-morphisms of groups [R. Jajcay, J. ¿irán, Skew-morphisms of regular Cayley maps, Discrete Math. 244 (1¿3) (2002) 167¿179], and apply our results to the specific case of regular Cayley maps of abelian groups.