Professor Dr. rer. nat. habil. Klaus Dohmen: On Sums of Type $\sum_{A\subseteq S} f(A)$

17.11.2014 Anunţuri cadre didactice, Comunicări ştiinţifice

Facultatea de Matematică şi Informatică
Departamentul de Matematică
Grupul de cercetare de Analiză numerică şi stochastică

CONFERINŢĂ
Marti, 18.11.2014, ora 14:00
Sala e, clădirea Mathematicum

On Sums of Type $\sum_{A\subseteq S} f(A)$

Speaker

Professor Dr. rer. nat. habil. Klaus Dohmen, Mittweida, Germania

Abstract

We establish a broad generalization of a classical theorem of Whitney on graph colorings to sums of type $\sum_{A\subseteq S} f(A)$ where $S$ is a finite set and $f$ is a mapping from the power set of $S$ to $\mathbb{R}$ . We give several applications of this generalization, e.g., to reliability theory.