Indirect Influences, Link Ranking, and Deconstruction of Complex Networks. (Viernes 22 de Abril)

Angelica Vargas

Profesora Departamento de Matemáticas

Universidad Sergio Arboleda

The PWP method was introduced  by Díaz as a tool for ranking nodes in a complex network. In this work we show that the method can be also used to rank links in a network. Furthermore  we show -- following Girvan and Newman -- that any method for ranking links induces a deconstruction  method for complex networks. As a result we obtain new clusterings method for community finding in networks, as well as a new core-periphery analysis methods for networks.

Generalized Eulerian Numbers Associated to Arithmetic Progressions , (Viernes 8 de Abril)

Sergio Villamarin

Estudiante Departamento de Matemáticas

Universidad Sergio Arboleda

We previously presented the classical Eulerian numbers with some of their more important identities and some relations between them and the Stirling numbers of the second kind. Now we present two generalizations of the Eulerian numbers and show an unification of both and how they preserve more of the classical identities. We also show their relationship with the r-Whitney numbers of the second kind