CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
No
Math. Meth. Appl. Sci.
Article
Científica
1.533
30/11/2018
000452611200031
2-s2.0-85062603456
This paper studies the link between isomorphic digraphs and isomorphic Leibniz algebras, determining in detail this fact when using (psuedo) digraphs of 2 and 3 vertices associated with Leibniz algebras according to their isomorphism classes. Moreover, we give the complete list with all the combinatorial structures of 3 vertices associated with Leibniz algebras, studying their isomorphism classes. We also compare our results with the current classifications of 2- and 3-dimensional Leibniz algebras. Finally, we introduce and implement the algorithmic procedure used for our goals and devoted to decide if a given combinatorial structure is associated or not with a Leibniz algebra.
algorithm; combinatorial structure; isomorphism class; Leibniz algebra; (pseudo) digraph