FEDRIANI MARTEL , Eugenio Manuel

La memoria se enmarca en la "Teoría de Inmersiones de Grafos en Superficies", presentando y resolviendo varios e interesantes problemas sobre dicho tema. Destacan especialmente los resultados referidos al estudio de los grafos peri S tanto en seudosuperficies para las que no se ... conoce su "teorema de Kuratowski", como en otras en las que se...

En este traba jo se procede a recapitular resultados conocidos sobre el problema de caracterizar los grafos que admiten inmersiones en super cies y en seudosuper - cies con todos los v ertices en la misma cara y se da una caracterizaci on original de los grafos con dicha propiedad en seudosuper cies que surgen de manera natural y que han sido...

This paper extends to infinite graphs the most general extremal issues, which are problems of determining the maximum number of edges of a graph not containing a given subgraph. It also relates the new results with the corresponding situations for the finite case. In particular, concepts from 'finite' graph theory, like the average degree and...

There are many problems in Graph Theory for finite graphs relating the number of vertices and the number of edges and, therefore, related to the average degree for finite graphs. However, when dealing with real-life problems involving networks, it is often useful to model the situation by using infinite graphs, which can represent extendable...

In this expository paper we revise some extensions of Kuratowski planarity criterion, providing a link between the embeddings of infinite graphs without accumulation points and the embeddings of finite graphs with some distinguished vertices in only one face. This link is valid for any surface and for some pseudosurfaces. On the one hand, we...

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The problem of Lie algebras' classification, in their different varieties, has been dealt with by theory researchers since the early 20th century. This problem has an intrinsically infinite nature since it can be inferred from the results obtained that there are features specific to each field and dimension. Despite the hundreds of attempts...

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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 pseudo-graph. As partial results, it is deduced that there exist, up to isomorphism, four, six, fourteen and thirty-four 2-, 3-, 4-, and 5-dimensional algebras...