In different forms which reflect the thematic objectives of anthropological research, there are several criteria of ethno-cultural belonging (namely language, ethno-history, territoriality, sociality, economy, ethos and the vision of the world) which materialize ethnicity in its factual and...

Territorial intelligence can be defined as the ability of a territory to anticipate socio-economic changes and the resulting knowledge management as well as to generate policies, know-how and innovations that will ultimately create a polycentric area of expertise and service capabilities to...

The Hirsch Conjecture, posed in 1957, stated that the graph of a d-dimensional polytope or polyhedron with n facets cannot have diameter greater than n−d. The conjecture itself has been disproved, but what we know about the underlying question is quite scarce. Most notably, no polynomial upper...

Geometric realization of an opinion is considered as a simplex and the opinion space of a group of individuals is a simplicial complex whose topological features are monitored in the process of opinion formation. The agents are physically located at the nodes of a scale-free and a random...

We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized...

We provide sufficient conditions for a monotone function with a finite set of outcomes to be cyclically monotone. Using these conditions, we show that any monotone function defined on the domain of gross substitutes is cyclically monotone. The result also extends to the domain of generalized...