Hypergraph Mining for Social Networks

Nowadays, more and more data is collected in large amounts, such that the need of studying it both efficiently and profitably is arising; we want to acheive new and significant informations that weren't known before the analysis. At this time many graph mining algorithms have been developed, but an algebra that could systematically define how to generalize such operations is missing. In order to propel the development of a such automatic analysis of an algebra, We propose for the first time (to the best of my knowledge) some primitive operators that may be the prelude to the systematical definition of a hypergraph algebra in this regard.

Topologia dei complessi simpliciali casuali

La presente tesi si propone di fornire un breve compendio sulla teoria dei complessi casuali, ramo di recente sviluppo della topologia algebrica applicata. Nell'illustrare i risultati più significativi ottenuti in tale teoria, si è voluto enfatizzare le modalità che permettono di affrontare con strumenti probabilistici lo studio delle proprietà topologiche ed algebriche dei complessi casuali.