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 …

Given a finite-dimensional Leibniz algebra with certain basis, we show how to associate
such algebra with a combinatorial structure of dimension 2. In some particular cases, this …

This paper shows a characterization of digraphs of three vertices associated with Lie
algebras, as well as determining the list of isomorphism classes for Lie algebras associated …

It is known that the equation $ x'(t)= Ax (t)+ f (t) $, where $ A $ is a bounded linear operator,
has a unique bounded solution $ x $ for any bounded continuous free term~ $ f $ if and only …

The main goal of this paper is to show an application of Graph Theory to classifying Lie
algebras over finite fields. It is rooted in the representation of each Lie algebra by a certain …

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 …

We are pleased to offer readers of International Journal of Computer Mathematics this
Special Issue consisting of some of the most significant contributions presented at the 9th …

In this paper, we introduce an algorithmic process to associate Leibniz algebras with
combinatorial structures. More concretely, we have designed an algorithm to automatize this …

Using concrete examples, we discuss the current and potential use of stochastic ordinary
differential equations (SDEs) from the perspective of applied and computational …

In this paper, we study how two important ideals of a given Lie algebra gg (namely, the
center Z (g) Z (g) and the derived Lie algebra D (g) D (g)) can be translated into the …