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 operations. Additionally, we show an algorithmic method for one of those operations.Ministerio de Ciencia e InnovaciónFondo Europeo de Desarrollo Regiona