CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
Si
Linear Algebra Its Appl
Article
Científica
0.968
0.733
15/01/2012
000298122500009
In this paper, we study the structure and properties of those n-dimensional Lie algebras associated with either summed structures of complete graphs or some families of digraphs, having into consideration that all these combinatorial structures are made up of n vertices. Our main goal is to obtain criteria determining when a Lie algebra is associated with some of combinatorial structures considered in this paper, as well as to study the properties of those structures in order to use them as a tool for classifying the types of Lie algebras associated with them. (C) 2010 Elsevier Inc. All rights reserved.
Lie algebras; Combinatorial structures; Triangular configurations; Complete graphs; Digraphs