Commutation Relations, Normal Ordering, and Stirling Numbers Page 1 Commutation
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …

In this paper, we focus on the link between evolution algebras and (pseudo) digraphs. We
study some theoretical properties about this association and determine the properties of the …

In this paper, we use the arrowhead matrices as a tool to study graph theory. More precisely,
we deal with an interesting class of directed multigraphs, the hub‐directed multigraphs. We …

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 …

In this work we associate a Lie algebra to every finite simple graph and obtain a necessary
and sufficient condition for the existence of degenerations between these Lie algebras. As a …

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 …

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 …

In this paper, new advances concerning the link between evolution algebras and (pseudo)
digraph are shown. Some important elements that can be read from the (pseudo) digraph …

In this paper, a link between oriented CW complexes (that will also be mentioned as
configurations) and alternative algebras is studied, determining which configurations are …

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 …